which equation represents a linear function

The solution to the equation given as 4(3m + 1) − 2m = −16 is m = -2

The equation is given as

4(3m + 1) − 2m = −16

Open the brackets in the above equation

So, we have

12m + 4 − 2m = −16

Collect the like terms in the above equation

So, we have the following equation

12m − 2m = −16 -4

Evaluate the like terms in the above equation

So, we have the following equation

10m = −20

Divide both sides by 10

m = -2

Hence, the soluton is m = -2

Read more about equations at

https://brainly.com/question/2972832

#SPJ1

The value of x in the given equation is 24.

Given equation:

(2/3)x + 4 = (5/6)x

We have to find the value of x by eliminating the fraction.

Fraction

Fraction is  termed as a portion or section of any quantity. It is denoted by using ‘/’ symbol, such as a/b. For example, in 2/4 is a fraction where the upper part denotes the numerator and the lower part is the denominator.

LCM (3,6) = 6

Multiplying the whole equation by 6, we get:-

(2/3)x*6 + 4*6 = (5/6)x*6

4x + 24 = 5x

5x - 4x = 24

x = 24

Hence, the value of x is 24.

To learn more about Fraction, here:-

https://brainly.com/question/10354322

#SPJ1

Answer:

pi/6 and 11pi/6

Explanation

Given the trigonometry equation:

Add 2\sqrt[3] to both sides as shown;

Take the cos inverse of both sides

Since theta is between 0 and 2pi

theta = 360 - 30

theta = 330^0

Convert to radians

180^0 = pi rad

30^0 = x

180x = 30pi

x = 30pi/180

x = pi/6

Similarly;

180^0 = pi rad

330^0 = x

180x = 330pi

x = 330pi/180

x = 11pi/6

Hence the value of thets between 0 and 2pi are pi/6 and 11pi/6

Part (a) Using only the data from the first and last years, build a linear model to describe the cost of individual health insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0).

we have the ordered pairs

(1999, 2,196) -------> (0,2,196)

(2019,7,186) -------> (20,7,196)

Find out the slope

where

t -----> is the number of years since 1999

P ----> the cost

m=(7,196-2,196)/(20-0)

m=5,000/20

m=250

Find the equation of the linear model in slope-intercept form

P=mt+b

we have

m=250

point (0,2,196)

substitute and solve for b

2,196=250(0)+b

b=2,196

therefore

P=250t+2,196

Part b

Using this linear model, predict the cost of insurance in 2030

For t=2030=2030-1999=31 years

substitute

P=250(31)+2,196

P=$9,946

Part c

According to this model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).

For P=$12,000

substitute in the linear model

12,000=250t+2,196

250t=12,000-2,196

250t=9,804

t=39 years

therefore

1999+39=year 2038

Part d

Using a calculator or spreadsheet program, build a linear regression model to describe the cost of individual insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0), and round the values of

P0 and d to the nearest dollar

using a regression calculator

the equation is

ŷ = 239.15065X + 2406.39827

y=239x+2,406

Part e

Using the regression model, predict the cost of insurance in 2030

For t=2030-1999=31 years

P=239(31)+2,406

P=$9,815

Part f

According to the regression model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).

For P=$12,000

substitute

12,000=239x+2,406

239x=12,000-2,406

239x=9,594

t=40 years

year=1999+40=2039

Answer:

where???????????????

Mean of given set is 7.8

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value." It is a statistical idea with significant financial implications.

Given,

Mean:

Formula:

Sum = 118.25

Total = 15

[tex]\frac{sum}{total}[/tex]

[tex]\frac{6.75 + 6.5 + 7 +8 +7+8.75+7.25+5.75+9.25+7.75+7+7.5+8+7.5+8+6.25}{15}[/tex]

= [tex]\frac{118.25}{15}[/tex]

= 7.8

To learn more about mean, visit:

https://brainly.com/question/10528201

#SPJ13

A department store chain that is entering a new area is looking at 16 possible locations for the placement of its 7 outlets. There are 57657600 many possible ways to the sites for the new stores.

Given that,

A department store chain that is entering a new area is looking at 16 possibility locations for the placement of its 7 outlets.

We have to find how many different possibility are there to choose the locations for the new businesses, provided that each site has an equal chance of being chosen.

By multiplying the number of possibilities each store has, we may determine the total number of ways.

It can be put on 16 sites for store 1. 15 locations can accommodate Store 2 (since store 1 is already on site 1). Up until shop 7, which has 10 sites, store 3 can be situated on 14 sites.

The quantity of ways is thus:

= 16 × 15 × 14 × 13 × 12 × 11 × 10

= 57657600

Therefore, there are 57657600 many possible ways to the sites for the new stores.

To learn more about sites visit: https://brainly.com/question/16186500

#SPJ4

Given the set of numbers:

To be able to determine their correct ascending order, we must first make all the numbers into similar forms.

Let's convert a

Based on the graphs and equations given, the simultaneous equations can be solved to give x = 1.5 and y = 5.5.

To solve the simultaneous equation, come up with the values of y using values of x in the given formulas:

For y = 3x + 1: the values of y will be:

When x = 1, then y will be:

= 3(1) + 1

= 4

When x = 2, then y will be:

= 3(2) + 1

= 7

When x = 3, then y will be:

= 3(3) + 1

= 9

For the equation, x + y = 7:

When x = 1, then y will be:

y = 7 - 1

= 6

When x = 2, then y will be:

= 7 - 2

= 5

When x = 3, then y will be:

= 7 - 3

= 4

When these are plotted on a graph, we find that the value of x is 1.5 and the value of y is 5.5. This is the point where the lines intersect.

Find out more on simultaneous equations at https://brainly.com/question/23509602

#SPJ1

Answer: 6, -4

Step-by-step explanation:

[tex]\frac{2}{5}|x-1| \geq 2\\\\|x-1| \geq 5\\\\x-1 \leq -5, x-1 \geq 5\\\\x \leq -4, x \geq 6[/tex]

The slope of the line secant to the curve g(x) = - x² + 8 is equal to m = - (2 + h).

A secant line is a line that passes through a curve in two places, the formula for the slope of the secant line is described below:

m = [f(a + h) - f(a)] / [(a + h) - a]

m = [f(a + h) - f(a)] / h

If we know that f(x) = - x² + 8 and a = 1, then the equation for the slope of the secant line is:

m = {[- (1 + h)² + 8] - (-1² + 8)} / h

m = (- 1² - 2 · h - h² + 8 + 1² - 8) / h

m = (- 2 · h - h²) / h

m = - 2 - h

m = - (2 + h)

The slope of the line is equal to m = - (2 + h).

To learn more on secant lines: https://brainly.com/question/14438198

#SPJ1

Answer:

$50.16

Step-by-step explanation:

id.k if it's actually right but i believe the tip would be $8.36 if it's 20% so adding it together is $50.16

To get 150% of a given number x, we multiply it by 1.5

This way, we'll have that:

Solving for x,

Therefore, we can conclude that 12 is 150% of 8

Considering the equation of a circle, it is found that:

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given as follows:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In the context of this problem, we have that:

Hence the equation of the circle is given by:

[tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 = 81[/tex]

Brian's dart lands at the following position:

(11.5, 5)

All the points that land on the dartboard respect the following equation:

[tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 \leq 81[/tex]

For the coordinate where the dart landed, we have that:

(11.5 - 12)² + (5 - 17/3)² = 0.7 < 81, meaning that Brian's dart lands on the dartboard.

More can be learned about the equation of a circle at https://brainly.com/question/24307696

#SPJ1

Leah would like to earn at least $120 per month. This expression means she ould like to earn $120 as a minimum and possible higher than that. In other words, she wants to earn either 120 or above that. If the number of hours she babysits is x, and the number of hours worked at the ice cream shop is y, then her earnings as per x and y woud be;

The red graph represents x + y =<20

The blue graph represents 5x +8y =>120

Observe that the region where the blue and red are "mixed" together represent the solution region.

Option A (4, 15)

Option B (5, 12) and

Option C (10, 9) are possible solutions

The equation of the circle passing through points (-2, 6) , (2, 8) , and (5, -1) is given as follows:

(x - 2)² + (y - 3)² = 25.

The equation of a circle with center (x*, y*) and radius r is given according to the following rule:

(x - x*)² + (y - y*)² = r².

The circle passes through point (-2,6), hence the first equation of the system is given as follows:

(-2 - x*) + (6 - y*)² = r².

r² = x*² + 4x* + 4 + y*² - 12y* + 36.

The circle also passes through point (2,8), hence the second equation of the system is given as follows:

(2 - x*) + (8 - y*)² = r².

r² = x*² - 4x* + 4 + y*² - 16y* + 64.

The final point is point (5,-1), meaning that the third equation is:

(5 - x*) + (-1 - y*)² = r².

r² = x*² - 10x* + 25 + y*² + 2y* + 1.

The system of equations to find the coordinates of the center and the radius is given as follows:

The solution to the system is given as follows:

x* = 2, y* = 3, r² = 25.

Hence the equation of the circle is:

(x - 2)² + (y - 3)² = 25.

More can be learned about the equation of a circle at https://brainly.com/question/24307696

#SPJ1

From the given values, we can see that the lowest values is -32 and the highest value ie -4. Since the range is the difference betwwwn the highest and the lowest value, the range is

On the other hand, the sample variance formula is

where x^bar is the mean and n is the total number of sample elements. In our case, n=7 and the mean is

Then, the sample variance is given by

Since the standard deviation is the square root of the sample variance, we have

By rounding the solutions to the nearest tenth, the answers are:

The expression's variables can be represented by a different symbol than the conventional x and y.

How to Convert Algebraic Expressions to Verbal Expressions.

Therefore, the expression's variables can be represented by a different symbol than the conventional x and y.

To learn more about Verbal Expression refer to:

brainly.com/question/14232106

#SPJ13

Answer:

Step-by-step explanation:  

So briefly corresponding angles are angles that have the same position as another angle on the same figure. In your example there a multiple figures. The only pair that is NOT a corresponding angle is 1 and 11 because they have no lines in common they are not on the same figure! Hope this helps!

The best way to divide the land having canal and road parallel, is divide land with the line perpendicular to the road and canal.

What is parallel and perpendicular?

In simple geometry, two geometric objects cross at a right angle (90 degrees or /2 radians) if they are perpendicular to one another. The perpendicular symbol,⟂, can be used to graphically depict the condition of perpendicularity. It can be defined between two planes, between two lines (or line segments), and between two lines.

In geometry, parallel lines are coplanar, straight lines that never intersect. Any parallel planes in the same three-dimensional space are those that never intersect. Parallel curves are those that have a predetermined minimum separation between them and do not touch or intersect.

We need to give equal access of canal to each section of land so, the best way to divide land is divide land perpendicularly to canal and the road.

To know more about parallel and perpendicular, go to link

https://brainly.com/question/25429151

#SPJ13

The cosine ratio is given by the following formula:

The adjacent leg of angle Z is side ZY=12 and the hypotenuse of the triangle is the side XZ=20, thus the cosine ratio of Z is:

Answer:

x = no of people in a small car

y = number of people in a van

Explanation:

The relevant information in the problem is that the total number of people is 27 and that the small car costs $10 and the large van $15.

If we call x the number of people in a small car, and y the number in the large van then the following equations can be obtained

The first equation simply says that the total number of people is 27 and the second equation says that the total cost of the trip is $80.

Hence,

x = no of people in a small car

y = number of people in a van

1) [tex]\angle CDE \cong \angle CED, \angle A \cong \angle B[/tex] (given)

2) [tex]m\angle CDE=m\angle CED, m\angle A=m\angle B[/tex] (definition of congruent angles)

3) [tex]m\angle C+m\angle CDE+m\angle CED=180^{\circ}, m\angle C+m\angle A+m\angle B=180^{\circ}[/tex] (sum of angles in a triangle)

4) [tex]m\angle C+2m\angle CDE=180^{\circ}, m\angle C+2m\angle A=180^{\circ}[/tex] (substitution)

5) [tex]m\angle C=180^{\circ}-2m \angle CDE, m\angle C=180^{\circ}-2m\angle A[/tex] (subtraction)

6) [tex]180^{\circ}-2m \angle CDE=180^{\circ}-2m \angle A[/tex] (transitive)

7) [tex]-2m\angle CDE=-2m\angle A[/tex] (subtraction)

8) [tex]m\angle CDE=m\angle A[/tex] (division)

9) [tex]\angle CDE \cong \angle A[/tex] (definition of congruent angles)

10) [tex]\overline{DE} \parallel \overline{AB}[/tex] (converse of corresponding angles theorem)

Answer: the answer is -4280

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

-6*(-4)

The negative signs cancel:

6*4

24

Answer:

0.00067

Step-by-step explanation:

You always want the period to the right of the first number meaning you’ll start from there counting backwards because it is negative.

Answer:15216.31 Fluid Ounces

Step-by-step explanation:

Answer:

The answer is to the question A

Answer:

Its B 100%

i took the test and got it right

k bye :):):):):):):)

Step-by-step explanation:

Answer:

The total T can be described as

[tex]T = (B+(B*.15))+1[/tex]