I need to understand the steps and why. ty. \(\sqrt{y} ^4\)

A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

\(g(x) = \frac{1}{2} e^x -4\)

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Answer: $20.82 per hour

Step-by-step explanation:

Answer:

$17.90 per hour

Step-by-step explanation:

Take $ 232.70 and divide it by 13 hours. Noah earned $17.90 every hour he worked.

Answer: it looks arithmetic if I had to guess

Step-by-step explanation:

Answer:

Step-by-step explanation:

This number line says that  we can take all values of x that are less than or equal to 2. That is, the solution is

                                  \(x\leq 2\)

NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)

Answer:

Step-by-step explanation:

You want to know if David's solution of -2x for (5x-4) -(3x) is correct, and what David should have done.

David's solution is correct up to Step 4.

At that point, it appears as though David treated -4 as if it were -4x. The constant cannot be combined with x terms. Step 4 should have been ...

  Step 4: (5 -3)x -4 = 2x -4

David's incorrect solution should have been 2x -4.

The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.

Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).

The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.

2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.

The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.

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Question :

Which mixed numbers have 12 as the LCD (lowest common denominator)?

2 11/12

3 1/7

5 3/4

6 4/5

8 38/47

Answer:

answer issssssssssssssss on the fhoto

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Answer:

keep the model answer photo

Answer:

Yes, the c.o.p. is 2.

Step-by-step explanation:

The question of proportionality is answered by directly dividing each y-value (distance) by its associated x-value (time). If ALL of the related pairs give the same quotients, the relationship is proportional and the common quotient is the constant of proportionality.

4/2=2

8/4=2

12/6=2

16/8=2

The Area of Square is 81 cm².

let the side of the square which is length for both rectangles be a.

let the width of rectangle be x and y.

So, x+ y= a

sum of perimeters= 54

2 (a +x ) + 2 (a+ y) = 54

2a+ 2x + 2a+ 2y = 54

2a + 2a + 2(x+ y) = 54

4a + 2 (a) = 54

4a + 2a = 54

6a = 54

a= 54/6

a= 9

So, area of square

= 9 x 9

= 81 cm²

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Answer:

x = 3

Step-by-step explanation:

I hope this helps.

Answer:

Dannielle's mistake was that she added the exponents,

x^3 + 5x^3, doesn't equal 6x^6

Step-by-step explanation:

the correct work is below:

x^3 + 5x^3 + 5x^2 - 3x^2 + 2x - 7 - 1

6x^3 + 2x^2 + 2x -8

Answer:

Part A. Company A: 20h+100

           Company B: 40h

Part B. After 3 hours: Company B is cheaper

           After 5 hours: Both companies would cost as much

          After 10 hours: Company A is cheaper

Part C. He would have to rent the bounce house for at most 5 hours before it becomes more expensive than Company A, because both companies would charge as much money at 5 hours.

Part A.

Company A: 20h+100

Company B: 40h

Part B.

After 3 hours: Company A costs more than Company B.

After 5 hours: The cost for both companies is the same.

After 10 hours: Company B costs more than Company A.

Part C. Ali would have to rent for at most 5 hours the bounce house from Company B for before it becomes less expensive to rent from company A.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Ali wants to rent a bounce house for the cookout.

Part A.

Company A rents a bounce house for a $100 rental fee plus $20 per hour. Company B rents a bounce house for $40 per hour.

Let h = the number of hours the bounce house is rented.

The expression that shows the cost of renting a bounce house from each company is,

y = 20h + 100 and y = 40h.

Part B.

If x = 3 hours,

then y = 20(3) + 100 = $160 and y = 40(3) = $120.

Company A costs more than Company B.

If x = 5 hours,

then y = 20(5) + 100 = $200 and y = 40(5) = $200.

The cost for both companies is the same.

If x = 10 hours,

then y = 20(10) + 100 = $300 and y = 40(10) = $400.

Company B costs more than Company A.

Part. C.

Ali would have to rent at most 5 hours the bounce house from Company B before it becomes less expensive to rent from company A.

Therefore, all the solutions to the condition are given above.

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Answer:

D.

Step-by-step explanation:

A. The radius of a given circle is longer than its diameter.

False. The diameter is twice the radius.

B. The length of the radius is the same in all circles.

False. Since there are circles of many sizes, there are many different sizes of the radius.

C. The circumference is always twice the radius.

False. The circumference is 2π times the radius or π times the diameter.

D. All circles contain 360 degrees.

True.

Answer:Area = Length times Width

 5 1/4  times 3 3/4

5 x 4 + 1 = 21

21/4

3 x 4 +3 = 15

15/4

21/4 x 15/4 = 315 / 16 or 19 11/16 ft^2

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The factors of 36 are 1,2,3,4,6,9,12,18,36; The factors of 63 are 1,3,7,9,21,63

Answer: 9

Step-by-step explanation: me took test

Answer:

7 ounces

Step-by-step explanation:

You divide 28 by 4 which would equal to 7 ounces per batch.

Elizabeth used 7 ounces of vinegar to make 1 batch of salad dressing.

Given that Elizabeth uses 28 ounces of vinegar to make 4 batches of salad dressing.

We need to determine the rate of change for this situation.

To find the number of ounces of vinegar Elizabeth used to make 1 batch of salad dressing, we need to divide the total amount of vinegar (28 ounces) by the number of batches (4).

The rate of change for this situation is the amount of vinegar used per batch.

Let's calculate it:

Vinegar used per batch = Total vinegar used / Number of batches

Vinegar used per batch = 28 ounces / 4 batches

Vinegar used per batch = 7 ounces

So, Elizabeth used 7 ounces of vinegar to make 1 batch of salad dressing.

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Answer:  see image

Step-by-step explanation:

Draw line x = -2. Count how many units away each point is from line x = -2 and  create the new points the same number of units away from line x = -2 but in the opposite direction.

S is 5 units to the right of x = -2. The new point S' is 5 units to the left of x = -2.

T is 6 units to the right of x = -2. The new point T' is 6 units to the left of x = -2.

U is 6 units to the right of x = -2. The new point U' is 6 units to the left of x = -2.

V is 5 units to the right of x = -2. The new point V' is 5 units to the left of x = -2.

Answer:

(y - x)/(y + x)

Step-by-step explanation:

(1/x - 1/y)/(1/x + 1/y) =

= (1/x - 1/y)/(1/x + 1/y) × (xy)/(xy)

= (y - x)/(y + x)

The maximum daily profit the company can earn is $2,350.

It is a set of points in a coordinate plane that represents the values of the function for different inputs.

The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.

Therefore, the maximum daily profit the company can earn is $2,350.

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The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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Answer:

2nd one

as the y is both 4, the points are on the same plane. As such, we care about the distance of x which is between 3 and 7

Answer:

The coefficient of \(x^{4}\)\(y^{3}\) is -280

Step-by-step explanation:

Solving the Binomial expansion using the Pascal's triangle, it would be observed that an expansion to the power of 7 can be solved using;

1  7  21  35  35  21  7  1

Thus;

\((x - 2y)^{7}\) = 1. \(x^{7}\) + 7.\(x^{6}\)(-2y) + 21.\(x^{5}\)\((-2y)^{2}\) + 35.\(x^{4}\)\((-2y)^{3}\) + 35.\(x^{3}\)\((-2y)^{4}\) + 21.\(x^{2}\)\((-2y)^{5}\) + 7.x\((-2y)^{6}\) + \((-2y)^{7}\)

        = \(x^{7}\) -14\(x^{6}\)y +84\(x^{5}\)\(y^{2}\) -280\(x^{4}\)\(y^{3}\) + 560\(x^{3}\)\(y^{4}\) - 672\(x^{2}\)\(y^{5}\) + + 448x\(y^{6}\) - 128\(y^{7}\)

Therefore, the coefficient of \(x^{4}\)\(y^{3}\) is -280

Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5