If f(x) = 3x + 2, find f(2).
a. 2
b. 5
c. 8
d. 9
e. 12

Answers

Answer 1
3(2)=6, 6+2=8 the answer is C
Answer 2

Answer:

C

Step-by-step explanation:

Since the number in the parenthesis is treated as "x", for f(2), replace "x" with 2. So the equation will be f(2) = 3(2) + 2. Then multiply. f(2) = 6 + 2. Lastly add them up. f(2) = 8. The answer is 8.


Related Questions

you are placing 11 different pictures on separate pages of a photo album. how many different ways can you order the 11 pictures in the album?

Answers

The number of different ways to order 11 different pictures in a photo album is 39,916,800.

To calculate this number, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of items to choose from (in this case, 11 pictures) and r is the number of items to be selected (also 11, since we want to order all the pictures).

Plugging in the values, we get:

11! / (11 - 11)! = 11! / 0! = 11!

We can simplify 11! as:

11! = 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Using a calculator or by hand, we can find that 11! equals 39,916,800.

Therefore, there are 39,916,800 different ways to order 11 different pictures in a photo album.

Hence, the number of ways to order 11 pictures in a photo album can be calculated using the permutation formula, which gives a total of 39,916,800 possible arrangements.

To know more about permutations, refer here:

https://brainly.com/question/30649574#

#SPJ11

WILL GIVE BRAINLY

If sin (x) =3 cos(x), then what is sin(x) times cos (x)?

Answers

Using the identity that sin^2(x) + cos^2(x) = 1, we can rewrite sin(x) in terms of cos(x):

sin^2(x) + cos^2(x) = 1
Dividing both sides by cos^2(x):

tan^2(x) + 1 = sec^2(x)
Substituting sin(x) = 3cos(x) into the left-hand side:

tan^2(x) + 1 = (1/9)sec^2(x)
Multiplying both sides by cos^2(x):

(sin(x)/cos(x))^2 + cos^2(x) = (1/9)(1/cos^2(x))
Expanding the left-hand side:

sin^2(x)/cos^2(x) + cos^2(x) = 1/9cos^2(x)
Rearranging and factoring out cos^2(x):

sin^2(x) = (1/8)cos^4(x)
Multiplying both sides by cos(x):

sin^2(x)cos(x) = (1/8)cos^5(x)
Using the identity sin(x)cos(x) = (1/2)sin(2x):

(1/2)sin(2x) = (1/8)cos^5(x)
Multiplying both sides by cos(x):

(1/2)sin(2x)cos(x) = (1/8)cos^6(x)
Using the identity sin(2x) = 2sin(x)cos(x):

sin(x)cos(x) = (1/16)cos^6(x)
Therefore, sin(x)cos(x) is equal to (1/16)cos^6(x).

a rectangle's length is 5cm more than its width, if it has an area of 336 cm squared find the length

Answers

The length of the rectangle is 19 cm.

The formula for the area of a rectangle,

Area = Length x Width

Given that the area is 336 cm squared.

So, we can set up an equation,

⇒ 336 = (w + 5)w

where w represents the width of the rectangle.

Expanding this equation,

⇒ 336 = w² + 5w

Moving all terms to one side:

⇒ w² + 5w - 336 = 0

This is a quadratic equation that we can solve using the quadratic formula,

⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))

⇒ w = (-5 ± 23) / 2

We'll take the positive value,

⇒ w = 14

So, the width of the rectangle is 14 cm.

We also know that the length is 5 cm more than the width,

Therefore,

⇒ l = w + 5

⇒ l = 14 + 5

⇒ l = 19

Therefore, the length of the rectangle is 19 cm.

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ12

a 86-ft tree casts a shadow that is 110 ft long. what is the angle of elevation of the sun? round the answer to two decimal places

Answers

The angle of elevation of the sun is 38.24 degrees (rounded to two decimal places).

The ratio of the height of the tree and the length of the shadow can be found by using the formula for tan which is given by:

tan(x) = (opposite/hypotenuse)

In the given problem statement, the height of the tree is opposite to the angle we are trying to find and the length of the shadow is the hypotenuse of the right-angled triangle. Therefore, we can say that:

tan(x) = opposite/hypotenuse = 86/110

We can use the inverse tangent function to find the value of x. This is because tan is the ratio of the opposite side (height of the tree) to the adjacent side (length of the shadow), and the inverse tangent function gives the angle that has that ratio.

So, tan x = 86/110 => x = tan⁻¹ (86/110) = 38.24 degrees (rounded to two decimal places). Therefore, the angle of elevation of the sun is 38.24 degrees.

For more such questions on Angle of elevation.

https://brainly.com/question/21137209#

#SPJ11

Find the missing side length.

Answers

Answer: 9 cm

Step-by-step explanation: 4+5=9

Will ran around a track that was 1/4 of a mile long. He ran around the track 12 times. How many miles did Will run?​

Answers

When Will ran around the track 12 times, he ran a total distance of 12 x 0.25 = 3 miles. The answer is 3 miles.

What is a lap?

The lap is the total distance a runner has to cover to complete one full circuit of the track. Depending on the size of the track, the lap distance can vary.

In the case of Will, he ran a total of 12 laps of a track that was 1/4 of a mile long.

This means that he ran a total distance of 12 x 0.25 = 3 miles.

This is because 1/4 of a mile is equal to 0.25 miles.

The equation used to calculate the total distance run by Will is: Distance = Number of laps x Length of each lap.

This equation can be used to calculate the total distance run by any runner on any track of any length.

For more questions related to track

https://brainly.com/question/27525473

#SPJ1

For each of the following quadratic equations written in standard form, y = ax² + ba+c, enter the values of a, b, and c in order, separated by commas. a) y = 3x² - 8x +1 b) y = 4x² - 3 c) y = 8x² + 2x​

Answers

Answer:

Step-by-step explanation:

[tex]y=ax^2+bx+c[/tex]

a)  [tex]a=3,b=-8,c=1[/tex]

b)  [tex]a=4,b=0,c=-3[/tex]

c)  [tex]a=8,b=2,c=0[/tex]

draw a quadratic function that only has one root at 3

Answers

The quadratic function that only has one root at 3 and passes through the point (0,4) is: f(x) = (4/9)(x - 3)^2

What is quadratic equation?

A quadratic equation is a polynomial equation of degree 2, meaning that the highest exponent of the variable is 2. It has the general form:

ax^2 + bx + c = 0

If a quadratic function has only one root at 3, then it must be of the form:

f(x) = a(x - 3)^2

where a is a constant. This is because a quadratic function with only one root must have a double root, meaning that the parabola only touches the x-axis at that point and does not cross it. And a quadratic function with vertex at (3,0) and opening upwards satisfies this condition.

To determine the value of a, we can use any additional information that may be provided, such as the value of the function at another point. For example, if we know that f(0) = 4, then we can substitute these values into the equation to get:

4 = a(0 - 3)^2

4 = 9a

a = 4/9

To know more about quadratic function visit:

https://brainly.com/question/30929439

#SPJ1

The quadratic function that has only one root at 3 and passes through (0,4) is: [tex]f(x)=(\frac{4}{9} )(x-3)^{2}[/tex]

Why is it called a quadratic equation?

A quadratic equation is a second-degree algebraic problem in x. In its standard form, the quadratic equation is [tex]ax^2+bx+c=0[/tex], where an as well as b are the coefficients, x is the variable, and c is the value of the constant component. The essential requirement for a formula to be a quadratic equation is that the coefficient of [tex]x^2[/tex] is not zero (a 0). When writing an equation with quadratic equations in conventional format, the [tex]x^2[/tex] term comes first, then the x term, and lastly the constant term.

A quadratic equation is a polynomial expression of degree 2, which means that the variable's greatest exponent is 2. It takes the following basic form:

[tex]ax^2+bx+c=0[/tex]

If the quadratic function has only one root at 3, it must have the following form:

[tex]f(x)=a(x-3)^2[/tex]

This requirement is satisfied by a quadratic function with a vertex at (3,0) and an opening upwards.

We know that f(0) = 4, so we can plug these numbers into the equation to get:

[tex]4=a(0-3)^2[/tex]

simplify the above equation

4 = 9a

The value is,

a = 4/9

To know more about quadratic function, visit:

https://brainly.com/question/1214333

#SPJ1

a local sub shop offers five different breads, four different meats, three different cheses, and six different vegetables. you can choos one bread and any number of the other items. find the total number of combinations of sandwiches possible

Answers

The total number of combinations of sandwiches possible is 360.

A local sub shop offers five different breads, four different meats, three different cheeses, and six different vegetables. You can choose one bread and any number of the other items.

To find the total number of combinations of sandwiches possible, we can use the multiplication rule.The multiplication rule states that if there are m ways to do one task and n ways to do another task, then there are m × n ways to do both tasks.

Similarly, if there are m ways to do one task, n ways to do another task, and p ways to do a third task, then there are m × n × p ways to do all three tasks.

To apply the multiplication rule to this problem, we can multiply the number of options for each component:Breads: 5 optionsMeats: 4 optionsCheeses: 3 optionsVegetables: 6 options

To find the total number of combinations, we can multiply the number of options for each component:5 × 4 × 3 × 6 = 360Therefore, there are 360 possible combinations of sandwiches.

To know more about multiplication rule click on below link:

https://brainly.com/question/29524604#

#SPJ11

A factory produces components of which 1% are defective. The components are
packed in boxes of 10. A box is selected at random

Answers

the probability that there are at most 2 defective components in the box is approximately 0.9044 and the probability of having at most 3 defective components out of 250 boxes is very close to zero.

a) Let X be the number of defective components in a box of 10 components. Then X follows a binomial distribution with n=10 and p=0.01, since the probability of a component being defective is 0.01. We want to find the probability that there are at most 2 defective components in the box, i.e., P(X ≤ 2).

Using the binomial probability formula, we get:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

= (10 choose 0) × 0.01⁰ × 0.99¹⁰ + (10 choose 1) × 0.01¹ × 0.99⁹ + (10 choose 2) × 0.01² × 0.99⁸

= 0.90438222

Therefore, the probability that there are at most 2 defective components in the box is approximately 0.9044 (rounded to four decimal places).

b) We want to find the probability of having at most 3 defective components out of 250 boxes, each containing 10 components. Since np = 100.01 = 0.1 < 5 and n × (1-p)=10 × 0.99=9.9 > 5, we can use the normal approximation to the binomial distribution, with mean μ = np = 2.5 and standard deviation σ = √np(1-p) = 1.577.

Let X be the number of boxes with at most 3 defective components. Then X follows an approximate normal distribution with mean μ' = np=2.5250 = 625 and standard deviation σ' = √np(1-p)) = 12.5 × 1.577 = 19.712.

We want to find P(X ≤ 250), which can be written as P(X < 251) since X is a discrete variable. Using the continuity correction, we can approximate this probability as P(X < 251.5). Then we standardize the variable:

z = (251.5 - μ')/σ' = (251.5 - 625)/19.712 = -18.919

Using a standard normal table or calculator, we find that P(Z < -18.919) is a very small number, practically zero. Therefore, the probability of having at most 3 defective components out of 250 boxes is very close to zero.

To learn more about probability click here

brainly.com/question/30034780

#SPJ4

Complete Question

factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random a) Find the probability that there are at most 2 defective components in the box b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.

State the coordinates of the point.

Answers

Answer:

Step-by-step explanation:

look get 8 then 7 then you get 5 and luh tyler.

(0,2)
The x-axis is at the origin, which always equals to 0, and the y-axis goes up to 2.
Since coordinates are (x,y), x=0 and y=2,
the coordinates would be (0,2).

algebra 1a/b opt #1 performance task: task linear regression

Answers

Answer:

Step-by-step explanation:

Not sure.

Write the equation of the line that is parallel to y=- 3/2and passes through
point (2,3).

Answers

Answer:

[tex]y-3=-\frac{3}{2}(x-2)[/tex]

Step-by-step explanation:

In order to find an equation that is parallel, it must have the same slope. This means the y intercept could literally be anything.

By equation of the line, we can write it in point slope form

[tex]y-y1=m(x-x1)[/tex]

where y1 and x1 are points on the coordinate plane and m is the slope.

We are already given the slope, so we just plug in the numbers.

[tex]y-3=-\frac{3}{2}(x-2)[/tex]

Which statements about this graph are true? Select all that apply.
The graph has a y-intercept at (0, 8).
The graph has a maximum point at (-3, 4).
The graph has an x-intercept at (1,0).
The graph has a line of symmetry at x = -3.
The graph has a minimum value of 4.
The graph has zeros in -5 and -1.

Answers

A, b, and e are correct.

in the packet of mixed candies there are 2 fruit centers for every 3 caramel centers. there are 30 candies in the packet

Answers

Answer: there are 12 fruit centers and 15 caramel centers

Step-by-step explanation:

Answer:

the packet contains 12 fruit centers and 18 caramel centers.

Step by step explanation:

If there are 2 fruit centers for every 3 caramel centers, then we can write the ratio of fruit centers to caramel centers as 2:3.

Let's call the number of fruit centers in the packet "2x" and the number of caramel centers "3x".

According to the problem statement, the total number of candies in the packet is 30. So we can write:

2x + 3x = 30

Simplifying the above equation, we get:

5x = 30

Solving for x, we get:

x = 6

Therefore, the number of fruit centers in the packet is:

2x = 2(6) = 12

And the number of caramel centers in the packet is:

3x = 3(6) = 18

So the packet contains 12 fruit centers and 18 caramel centers.

in a sampling distribution of means 1. the distribution will approximate the normal distribution (bell curve). 2. the mean of the sampling dsitribution will equal the mean of the population 3. the standard deviation of the sampling distribution is called the standard error. this is based on the

Answers

In a sampling distribution of means, the distribution will approximate the normal distribution, the mean of the sampling distribution will equal the mean of the population and the standard deviation of the sampling distribution is based on Central Limit Theorem, option A.

The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape, the distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.

In other words, the central limit theorem (CLT) is a statistical assumption that, given a sufficiently enough sample size from a population with a limited degree of variance, the mean of all sampled variables from the same population will be roughly equal to the mean of the entire population. According to the law of large numbers, these samples also resemble a normal distribution, with their variances almost equaling the variation of the population as the sample size increases.

Learn more about Central Limit Theorem:

https://brainly.com/question/18403552

#SPJ4

Complete question:

In a sampling distribution of means... 1. the distribution will approximate the normal distribution (bell curve). 2. the mean of the sampling distribution will equal the mean of the population 3. the standard deviation of the sampling distribution is called the standard error. This is based on the...

Central Limit Theorem

Standardization of Transformation

Z-Score Distribution Table

Relative Frequency of Probability

Solve the following quadratic function by utilizing the square root method.

Answers

Answer:

x = ±9

Step-by-step explanation:

If x² = k, then x = ±√k.

x² - 81 = 0

x² = 81

x = ±√81

x = ±9

A’(10, 5) is the image of A after a translation along the vector 〈−6, 0〉. What are the coordinates of A?

Answers

To perform the opposite translation, we add the opposite of the translation vector to the image point A': the coordinates of point A are (16, 5).

what is a vector?

In mathematics, a vector is an object that represents a quantity having both magnitude (or length) and direction. Vectors can be represented geometrically as arrows, where the length of the arrow represents the magnitude of the vector and the direction of the arrow represents the direction of the vector.

To find the coordinates of point A, we need to perform the opposite translation of moving along the vector 〈−6, 0〉 from the image point A'(10, 5). This is because a translation is a rigid motion that preserves the distance between points, so the distance between A and A' is the same as the distance between their respective translations.

To perform the opposite translation, we add the opposite of the translation vector to the image point A':

A = A' - 〈-6, 0〉 = (10, 5) - (-6, 0) = (16, 5)

Therefore, the coordinates of point A are (16, 5).

To learn more about vector from the given link:

https://brainly.com/question/29740341

#SPJ1

In 2010, a total of 2187 of the employees at
Leo's company owned a petrol car.
In 2013, there were 1536 employees with
petrol cars.
Assuming this number decreases
exponentially, work out how many employees
owned a petrol car in 2019.
Give your answer to the nearest integer.

Answers

we can expect that approximately 815 employees owned a petrol car in 2019 (rounded to the nearest integer).

How to solve exponential function?

We can model the number of employees owning petrol cars in the years 2010 and 2013 using the exponential decay formula:

[tex]$$N(t) = N_0 e^{-kt}$$[/tex]

where N(t) is the number of employees owning petrol cars at time t, [tex]$N_0$[/tex] is the initial number of employees owning petrol cars (in 2010), k is the decay constant, and t is the time elapsed since 2010 (in years).

We can use the given information to find the value of k:

In 2013 (3 years after 2010), the number of employees owning petrol cars decreased from 2187 to 1536:

[tex]$$1536 = 2187 e^{-3k}$$[/tex]

Dividing both sides by 2187 gives:

[tex]$$e^{-3k} = \frac{1536}{2187}$$[/tex]

Taking the natural logarithm of both sides gives:

[tex]$$-3k = \ln\left(\frac{1536}{2187}\right)$$[/tex]

Solving for k gives:

[tex]$k = -\frac{1}{3} \ln\left(\frac{1536}{2187}\right) \approx 0.1565$$[/tex]

Now we can use the exponential decay formula to find the number of employees owning petrol cars in 2019 (9 years after 2010):

[tex]$$N(9) = 2187 e^{-0.1565 \cdot 9} \approx 815$$[/tex]

Therefore, we can expect that approximately 815 employees owned a petrol car in 2019 (rounded to the nearest integer).

To know more about Exponential function visit:

brainly.com/question/14355665

#SPJ1

The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number?

Answers

Answer:
= -28

Step by step solved:

Let's assume that the second number is represented by the variable "x".

The sum of the first number (10) and the second number (x) is -18. We can represent this situation with the following equation:

10 + x = -18

To solve for "x", we can isolate the variable by subtracting 10 from both sides of the equation:

x = -18 - 10

Simplifying the right-hand side:

x = -28

Therefore, the second number is -28.

when using sample data to estimate a population-level relationship, why is it necessary to engage in hypothesis testing?

Answers

Hypothesis testing is an important step when using sample data to estimate a population-level relationship because it helps ensure that the conclusions drawn from the data are accurate.

Hypothesis testing allows us to determine the probability that the observed results are due to chance, rather than reflecting a real relationship between the variables. When constructing a hypothesis, we set up two competing hypotheses, the null and the alternative. The null hypothesis states that there is no relationship between the variables and that the observed results are due to chance. The alternative hypothesis states that there is a relationship between the variables and that the observed results are not due to chance.



We can then use the sample data to conduct a test of statistical significance to compare the results of the two hypotheses. This test helps us determine whether the observed results are due to chance or if they are significant enough to suggest a real relationship between the variables. In conclusion, hypothesis testing is essential when using sample data to estimate a population-level relationship because it allows us to determine the probability that the observed results are due to chance, rather than reflecting a real relationship between the variables.

To know more about hypothesis click here:

https://brainly.com/question/29519577

#SPJ11

the fact that the sample averages are not all the same is an illustration of the concept of , and the fact that the sample averages systematically overestimate the true population average is an illustration of the concept of . group of answer choices

Answers

The fact that the sample averages are not all the same can be an illustration of the concept of the central limit theorem, while the fact that the sample averages systematically overestimate the true population average can be an illustration of the concept of bias.

The given statement is incomplete, we need additional information in order to provide a solution. It is important to provide the complete statement so that we can help you in the best way possible.

However, based on the given options, we can provide a general explanation of the concepts mentioned, which are the concepts of the central limit theorem and bias.

The central limit theorem states that the distribution of the sample means approaches a normal distribution as the sample size increases. In other words, as the sample size increases, the means of the samples drawn from a population tend to be normally distributed. The central limit theorem has important implications for statistics and hypothesis testing.

Bias, on the other hand, refers to a systematic error in data collection or analysis. Bias can be caused by a variety of factors, such as the selection of participants or the measurement instruments used. A biased sample or analysis can lead to inaccurate conclusions about a population.

For similar question on sample averages

https://brainly.com/question/28798526

#SPJ11

True or False: Of the major economies in the world, Italy had the highest growth rate of real GDP per capita between 1982 and 2009

Answers

The given statement regarding the GDP of major economies of the world is False.

To determine the accuracy of this statement, we would need to gather data on the real GDP per capita growth rates of major economies between 1982 and 2009 and compare them. Without this data, we cannot definitively say whether the statement is true or false. However, based on historical trends and current economic data, it is unlikely that Italy had the highest growth rate of real GDP per capita during this time period.

Learn more about the Economy:

https://brainly.com/question/28210218
#SPJ4

I need some help please

Answers

The equation of the line is y = -3x + 4.

How to find the equation of a line?

The equation of a line can be represented in slope intercept form as follows:

y - mx + b

where

m = slope of the lineb = y-intercept of the line

Hence, using (1, 1) and (0, 4)

Therefore,

m = 4 - 1 / 0 - 1

m = 3 / -1

m = -3

Hence, the y-intercept of the line is as follows:

y = -3x + b

4 = -3(0) + b

b = 4

Therefore, the equation of the line is y = -3x + 4

learn more on equation of a line here: https://brainly.com/question/14200719

#SPJ1

for the divisibility relation on the set {1, 2, 3, 6, 8, 12, 24, 36}, what will be the least upper bound of elements {8, 12}?

Answers

The least upper bound of the elements {8, 12} under the divisibility relation on the set {1, 2, 3, 6, 8, 12, 24, 36} is 24.

To find the least upper bound of a set of elements under a relation, we look for the smallest element in the set that is greater than or equal to all of the elements in the set.

Under the divisibility relation, an element a is said to be divisible by an element b (written as b divides a) if a is a multiple of b, that is, a = b * k for some integer k. For example, 8 divides 24 because 24 = 8 * 3.

We want to find the least upper bound of the elements {8, 12} under this relation on the set {1, 2, 3, 6, 8, 12, 24, 36}. That means we want to find the smallest element in the set that is a multiple of both 8 and 12.

We can list the multiples of 8 and 12 in the set as follows:

Multiples of 8: 8, 24

Multiples of 12: 12, 24, 36

We can see that the smallest element in the set that is a multiple of both 8 and 12 is 24.

Therefore, the least upper bound under the divisibility relation on the set {1, 2, 3, 6, 8, 12, 24, 36} is 24.


To know more about divisibility relation, refer here:

https://brainly.com/question/7492971#

#SPJ11

g a group of people were asked if they had run a red light in the last year. responded yes, and responded no. find the probability that if a person is chosen at random, they have run a red light in the last year.

Answers

The probability that a person chosen at random has run a red light in the last year can be calculated by taking the number of people who said “yes” to running a red light and dividing it by the total number of people in the group.

For example, if 10 people said “yes” and 20 said “no”, the probability of a person chosen at random running a red light in the last year is 10/30, or 1/3.

The probability of an event happening is calculated using the formula:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

In this case, the favorable outcome is running a red light in the last year, and the total number of outcomes is the total number of people asked.

To calculate the probability, we take the number of people who said “yes” to running a red light in the last year and divide it by the total number of people in the group. In our example, 10/30 = 1/3, so the probability that a person chosen at random has run a red light in the last year is 1/3.

In conclusion, the probability of a person chosen at random having run a red light in the last year is calculated by taking the number of people who responded “yes” and dividing it by the total number of people in the group.

See more about probability at: https://brainly.com/question/14633532

#SPJ11

the sum of shannon and john’s ages is 70 shannon is 4 times as old as john

Answers

8.75 is johns age……………..

Rewrite each equation without absolute value for the given conditions.
(Please help)ASAP
1. y = |x − 3| + |x +2| − |x − 5| if x >5

2. y = |x − 3| + |x +2| − |x − 5| if x < −2

3. y = |x − 3| + |x +2| − |x − 5| if 3

Answers

The equations without absolute value for the given conditions are: 1. y = -3x + 6 if x > 5; 2. y = -x - 6 if x < -2; 3. y = x - 6 if 3 ≤ x ≤ 5, and y = -x - 6 if x < 3.

1. When x > 5, the expression (x - 3) is positive, (x + 2) is positive, and (x - 5) is positive. Thus, to get absolute value we can rewrite the equation as:

y = (x - 3) + (x + 2) - (x - 5)

Simplifying this, we get:

y = 2x - 4

2. When x < -2, the expression (x - 3) is negative, (x + 2) is negative, and (x - 5) is negative. Thus, we can rewrite the equation as:

y = -(x - 3) - (x + 2) + (x - 5)

Simplifying this, we get:

y = -2x + 6

3. When -2 ≤ x ≤ 3, the expression (x - 3) is negative, (x + 2) is positive, and (x - 5) is negative. Thus, we can rewrite the equation as:

y = -(x - 3) + (x + 2) - (x - 5)

Simplifying this, we get:

y = 10 - x

When x > 3, the expression (x - 3) is negative, (x + 2) is positive, and (x - 5) is positive. Thus, we can rewrite the equation as:

y = -(x - 3) + (x + 2) + (x - 5)

Simplifying this, we get:

y = -2x + 6

To learn more about absolute value please click on below link        

https://brainly.com/question/29764645

#SPJ1

can someone help me please i don't understand this

Answers

The transformation that would not result in a congruent figure when performed on triangle RST is A. A dilation by a scale factor of 2 with respect to point R.

The equation that has the same solution as the system of equations is C. 4x + 9y = 10

4x + 6y = 24.

Which transformations changes congruency ?

Transformations that change the shape or size of a figure can change its congruency.  A dilation is a transformation that changes the size of a figure so this would mean that RST dilated would not result in a congruent figure.

How to find the equation?

When the system of equations, 4x + 9y = 10, 2x + 3y = 12 is solved, we find that x = 13 and y = - 14/ 3.

Options A,B, and D cannot have the same value because the numbers are the same and so they should have different values., Only option C can be the same and when the values are slotted in, this is proven.

Option C, 4x + 9y = 10 , 4x + 6y = 24 is therefore correct.

Find out more on equations at https://brainly.com/question/25869125

#SPJ1

a dance delegation of 4 people must be chosen from 5 pairs of dance partners. if 2 dance partners can never be together on the delegation, how many different ways are there to form the delegation?

Answers

There are 120 different ways to form the dance delegation from five pairs of dance partners if two dance partners can never be together on the delegation.

The total number of ways to form the delegation from five pairs of dance partners can be calculated using the combination formula. The combination formula is used to calculate the number of different combinations of n objects taken r at a time without repetition.

In this question, n is the total number of dance partners (5) and r is the number of people on the delegation (4).

Therefore, the calculation is as follows:

total number of ways = nCr

                    = 5C4

                    = 5! / 4!(5-4)!

                    = 5! / 4!1!

                    = 5 x 4 x 3 x 2 x 1 / 4 x 1 x 1

                    = 5 x 4 x 3 x 2

                    = 120

Hence, there are 120 different ways to form the dance delegation from five pairs of dance partners if two dance partners can never be together on the delegation.

Learn more about combination here:

https://brainly.com/question/20211959

#SPJ4

Other Questions
raising solvent temperature causes solvent-solute collisions to become group of answer choices more frequent and more energetic. less frequent and less energetic. less frequent and more energetic. more frequent and less energetic. the 98.4% confidence interval for snapdragons grown in compost is (20.91, 38.43). what is the margin of error of this confidence interval? Do you think Vance has come toterms with his feelings for hismother? Or do you think hisfeelings for and about her willconstantly evolve? write 5 nouns in wa class that begin with prefix ki in singular and vi in plural? (T/F) cash revenue generated from notes receivable appears in the operating activities section of the statement of cash flows but as a non-operating item on the income statement. Read this slide from a multimedia presentation about a battle in Seattle.Which is the best reason that this slide is ineffective?It does not include enough text.It does not entirely relate to the topic.It has a strange font that is hard to read.It has bullet points instead of full sentences. QUICK 25 points !!For this assignment, you will write complete paragraphs to answer questions about 19th-century conflicts between the United States and Mexico.To get the best grade possible, follow the instructions in the assignment closely and answer all of the questions completely.This assignment is worth 30 points.WRITE PARAGRAPH ANSWERSAnswer each question in a complete paragraph, including a topic sentence that restates the question, at least three supporting detail sentences, and a concluding sentence that wraps up the paragraph. Be sure to use evidence from the lesson to support your ideas.1. What caused the Mexican-American War? (6 points)2. How did the Mexican-American War end? (6 points)3. What were three major consequences of the Treaty of Guadalupe Hidalgo for Mexico? (6 points)4. What was the Gadsden Purchase? (6 points)5. Do you think the Treaty of Guadalupe Hidalgo did enough to protect the rights of Mexican citizens whose land became part of the United States? Why? (6 points) For each of the descriptions 1-6, match the correct word or phrase from A-H A. Inspection of tangible assets B. Confirmation C Tracing on221 D. Vouching E. Inquiry F External-internal evidence G. Audit planH. Substantive procedures1. Documentation prepared by independent parties and sent to the client 2. Proceeding forward through the accounting and control system from the evidence to the financial statements 3. Audit of details of transactions and balances 4. Audtprocedure that provides compelling evidence of existence 5. Direct correspondence with independent parties 6. A list of audit procedures a compensation plan that bases pay of an employee on his or her performance is called a(n) plan. can someone pls help Word indicates the size of the table by ____ at the top of the grid when dragging the pointer across a selection this is a longitudinal section through the end of a finger. what is the correct name for the area circled in this virtual slide specimen? a quiz consists of three true or false questions. what is the probability that there are exactly two true answers? the probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random. complete parts (a) through (d). I please need help matching the angles. I cannot seem to get it right. Please help me ! i need this done now! Part I: Character or Theme?Answer each of the following questions in complete 1-2 sentences.1. Which character or theme from The Monkeys Paw will you be using for this assignment?2. Why did you select this particular character or theme from The Monkeys Paw?Part 2: Sonnet or Villanelle?Use the chart below to explain your decision to use either a sonnet or villanelle to represent your character or theme from The Monkeys Paw by W. W. Jacobs.Part I: Character or Theme?Answer each of the following questions in complete 1-2 sentences.1. Which character or theme from The Monkeys Paw will you be using for this assignment? 2. Why did you select this particular character or theme from The Monkeys Paw?Part 2: Sonnet or Villanelle?Use the chart below to explain your decision to use either a sonnet or villanelle to represent your character or theme from The Monkeys Paw by W. W. Jacobs.Sonnet or Villanelle?Which poetic form did you select to reflect your character or theme? Answer in ONE sentence.ExplanationWhy did you select a sonnet or villanelle to represent your character or theme? Answer in 2-3 sentences.Textual SupportProvide THREE examples from the text to support your decision for a sonnet or a villanelle.ReflectionWhy would the opposite poetic form NOT work for your character or theme? Answer in 2-3 sentences Find the average rate of change of g(x) = 3x + 3 on the interval [ - 9, 4]. calculate the average force on the person if he is stopped by a padded dashboard that compresses an average of 1.00 cm. calculate the average force on the person if he is stopped by an air bag that compresses an average of 15.0 cm. what change in chromosome structure occurs when a piece of one chromosome breaks off and is attached to another chromosome?