Need to graph and then mark length of stay (in days) on the bottom of the graph. Need 4 points on graph and 4 number on bottom of graph

We will have the transformation rule (x, y) -> (x+2, y+1)

Then, for A' we will have:

A'(3, 3)

B'(6, 6)

C'(4, 3)

The equation of the parallel line is y = -3/5x + 5

The equation is given as

3x + 5y = 6

The point is also given as

Point = (0, 5)

The equation of a line can be represented as

y = mx + c

Where

Slope = m and c represents the y-intercept

So, we have

3x + 5y = 6

This gives

5y = -3x + 6

Divide

y = -3/5x + 6/5

By comparing the equations y = mx + c and y = -3/5x + 6/5, we have the following

m = -3/5

This means that the slope of y = -3/5x + 6/5 is -3/5

So, we have

m = -3/5

The slopes of parallel lines are equal

This means that the slope of the other line is -3/5

The equation of the parallel line is then calculated as

y = m(x - x₁) +y₁

Where

m = -3/5

(x₁, y₁) = (0, 5)

So, we have

y = -3/5(x + 0) + 5

Open the brackets and evaluate

y = -3/5x + 5

Hence, the parallel line has an equation of y = -3/5x + 5

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Answer:

Explanation:

Here, we want to get how much will be ppaid over the course of 30 years

From the question, we have it that he pays $466 monthly

Now, to get the amount he will pay over the course of the years, we have to understand that there are 12 months in a year

The total number of months for which he will be paying will be:

He will be paying $466 per month for a total of 360 months

So, the total amount he is to pay is the product of this two

Mathematically, that would be:

SOLUTION

We want to solve the question below

We can see that a matrix was subtracted from another. In Addition or subtraction of matrix, we just add or subtract the element. So

We have in the first row

And

Hence x = -15 and y = 15, the first option is correct

Given:

Distance of top of ladder to the ground = 10 ft

Distance of bottom of ladder from the side of the house = 9 ft

Let's find the length of the ladder.

Since the ladder forms a right triangle with the house, to find the length of the ladder apply Pythagorean Theorem.

Where:

a = 10 ft

b = 9 ft

c = length of ladder

Thus, we have:

Take the square root of both sides:

Therefore, the length of the ladder rounded to the nearest tenth is 13.5 ft

ANSWER:

13.5 ft

From the question, we were told that a subway company decides to reward their customers if they go online and answer a few questions about the restaurant.

We are to determine what the process means.

The general view, examination, or description of something or someone in most cases for a reward is known as a survey.

So since subway wants its customers to go online and answer some question about the restaurant and get a reward, then it is a survey.

So, the process that was carried out is a survey.

Therefore, the correct option is D, which is survey.

Given:

Answer:

18 years old

Solution:

Let x represent the age of the youngest child.

So the age of the oldest = 3x

If the ages of the two middle children are 19 and 23, and the average age of the four children is 28.5, let's go ahead and find x;

Let's go ahead and subtract 42 from both sides;

Dividing both sides by 4, we'll have;

Therefore, the youngest is 18 years old.

Similar figures have corresponding sides that are proportional.

We can set up a ratio where we are putting corresponding sides of each triangle, cross mutliply, and solve for the unknow.

Looking at answer choices:

A)

if we have x and 24 to one side, we need corresponding pair from right hand side triangle, which should be 15 and 9. But the ratio is 9 over 15. So, this isn't right.

B)

If 24 is paired with 9 [corresponding side of each triangle], then we need same correspondence.

But we have 15 and x, which is opposite of what we want. So, this isn't right.

C)

32 goes with x and 12 goes with 15. They are indeed in correspondence to each other.

This ratio is correct.

We can say Option C is the correct answwer.

D) 9x=18

given

Step 1

substitute the y value from equation (1) into equation(2)

so

therefore, the answer is

D) 9x=18

I hope this helps you

Given-:

Function is:

Find-:

Expression by factoring

Explanation-:

Factoring the function is:

Factoring is:

the given expression is

y = 3x - 5

y +5 = 3x

y - (-5) = 3(x - 0)

so the y-intercept is -5.

Answer:

Explanation:

First, we identify the main components:

• Principal = $15,000

• Rate = 8% =0.08

• Time = 6 years

then

The utilization rate of friends' study time is 33%

In this question, we need to find the utilization rate for friends' study time.

They can complete a maximum of 60 HW problems per hour. In the last hour, they were a little distracted but managed to complete 20 HW problems.

We know that the formula for the utilization rate:

Utilization % = Actual Number of Hours Worked / the Total Available Hours.

So the utilization rate would be,

r = 20/60

r = 0.33

r = 0.33 × 100

r = 33%

Therefore,  the utilization rate of friends' study time is 33%

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we have

therefore

Solution

We want to simplify

Now

Therefore, the answer is

We can check that the median of the dataset T is 14, and its mean is also close to 14, while the median of the dataset U is 17 and its mean is close also close to 17. We can also check that the range of the dataset T is 14 and the data is more concentrated at its center, while the range of the dataset U is 20 and the data is more dispersed.

Therefore, we can state that The center of Data Set T is less than the center of Data Set U, and the spread of Data Set T is less than the spread of Data Set U.

Let's determine the value of x on the given radical expression:

Equations

It's required to find the value of x that satisfies the conditions of the figure.

We have an equilateral triangle. We know it's equilateral because all of its interior angles have the same measure (look at the tick mark on each angle).

Recall the sum of the interior angles of any triangle is 180°.

If all the interior angles have the same measure, then each angle measures 180/3 = 60°.

One of the angles is assigned an expression of x. We can equate it to 60:

5x - 18 = 60

Adding 18:

5x = 78

Dividing by 5:

x = 78/5

x = 15.6

Answer: I do believe the answer is 15.6. Hope this helps! ^w^

If A and B are independent events with P(A) = 0.3 and P(B) = 0.7, then the value of P(A AND B) = 0.21

A and B are independent events

Independent events are events that does not depends on any other events.

Probability is the ratio of number of favorable outcomes to the total number of outcomes

The value of P(A) = 0.3

The value of P(B) = 0.7

If A and B are independent events, then P(A AND B) = P(A) × P(B)

Substitute the values in the equation

P(A AND B) = 0.3 × 0.7

= 0.21

Hence, if A and B are independent events with P(A) = 0.3 and P(B) = 0.7, then the value of P(A AND B) = 0.21

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We have to select the correct value of cot (pi/4).

It is known that the value of cot (pi/4) is 1.

Thus, the correct option is B.

Answer:

===========================

A square with dimensions:

Square has all sides equal:

Each side is:

Perimeter:

The perimeter of the square is found as 64 units.

For the given question,

The dimension of the square are given as;

For square, as all sides are equal.

Then,

Width = Length

Put the values.

4x = 36 – 5x

9x = 36

x = 4

Put in dimensions.

The perimeter of square is;

Perimeter = 4 × side

Perimeter = 4 × 16

Perimeter = 64 units.

Thus, the perimeter of the square is found as 64 units.

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The line end points are (4,3) and (-5,-2).

The value of x coordinates give the domain and values of y coordinates give the range.

Since point (4,3) lies on the line and point (-5,-2) does not lie on ther line.

Domain is,

Range is,

Determine the slope of line.

So slope is 5/9.

2 3/24

Multiply the denominator by the whole number and add the numerator to obtain the new numerator. the denominator stays the same.

(2x24)+3 /24 = 48+3 /24 = 51/24

simplify by 3

17/8

a. Graph -f(x):

By the transformations rules for functions, the graph of -f(x) is equal to a reflection over the x-axis, and a change of the y-coordinates:

Then, given the function:

The graph of -f(x) is:is

The domain of the function is the set of all possible x-values, then it is:

The range is the set of all possible values of the function, then it is:

b. Graph f(x+2)-4:

The transformation f(x+2) is an horizontal translation left 2 units.

And the transformation f(x+2)-4 is a vertical translation down 4 units.

Then, the coordinates of this graph in comparison to the given graph are:

Then for the point (1,1) the new coordinates are (1-2,1-4)=(-1,-3).

For (4,2): the new coordinates (4-2,2-4)=(2,-2)

For (9,3): the new coordinates (9-2,3-4)=(7,-1)

The graph is:

The domain of this function is:

And the range is:

As per the concept of distributive property, the values of

A.) 28 · 63 = 1768

B.) 17 (59) = 1003

C.) 458 (15) = 6870

Distributive property:

Distributive property states that, " multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together."

It can be written as expression like the following,

A( B + C) = AB + AC

Given,

Here we have the expressions,

A.) 28 · 63

B.) 17 (59)

C.) 458 (15)

Now, we have to find the solution for this by using the distributive property.

Now, we have to expand the given expressions by using the distributive property then we get,

A) 28. ( 60 + 3) = (28 x 63) + (28 x 3)

=> 1680 + 84

=> 1768

Similarly, we have simplify the next expression as,

B) 17 (59) = 17 x (50 + 9)

As per the distributive property,

17 x (50 + 9) = (17 x 50) + (17 x 9)

=>  850 + 153

=> 1003

Finally, applying the distributive law, we get,

C) 458 (15) = (450 + 8) x 15

=> (450 x 15) + (8 x 15)

=> 6750 + 120

=> 6870

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Slope formula:

Replacing:

since x is constant , it is a vertical line, with an undefined slope.

Given:

Total number of teachers = 120

To select a number of teachers = 40

Required:

To find a sample of 40 teachers by using the systematic sampling technique.​

Explanation:

The probability formula is given as:

Final Answer:

The derivative of the function f(x) = -5x²+3x-2 is -10x+3.

Given the function is f(x) = -5x²+3x-2

Differentiate with respect to x.

d/dx  -5x²+3x-2 = d/dx (-5x²) + d/dx(3x) - d/dx(2)

using the power rule d/dx [xⁿ] = nxⁿ⁻¹

⇒ d/dx  -5x²+3x-2 = -5(2)x²⁻¹ + 3(1) - 0

⇒ d/dx -5x²+3x-2 = -10x+3

The power rule states that the derivative of xn is nx(n-1) for every x if n is a positive integer, regardless of whether you are thinking of derivatives at a point (numbers) or derivatives on an interval (functions).

Hence we get the derivative as -10x+3.

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