What is the image of (−8,−8) after a dilation by a scale factor of 1/2 centered at the origin?

Answer:

f^-1(x) = (x² + 21)/7

Step-by-step explanation:

Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:

Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:

y² = 7x – 21

Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:

y² + 21 = 7x

Step 3: Divide both sides of the equation by 7. Doing that we have:

x = (y² + 21)/7

Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:

f^-1(x) = (x² + 21)/7

Answer:look at explanation

Step-by-step explanation:

Answer:

divide

Step-by-step explanation:

divide

..........................

Answer:

its A.multiply

Step-by-step explanation:

if you cannot divide than you cannot multiply

Answer:

1 should be the answer bi

Step-by-step explanation:

Step-by-step explanation:

Kindly make the question clearer for assistance

Answer:

3

Step-by-step explanation:

Answer:

$72.00

Step-by-step explanation:

Answer:

$72

Step-by-step explanation:

I hope this helps!

Answer:

The answer is 1/6

Step-by-step explanation:

This is the answer because it is.

Answer:

X= -1

Step-by-step explanation:

Answer:

2x+2

Step-by-step explanation:

It's multiplicative distribution - when you multiply something in parenthesis by another expression, you distributively multiply the expression to the expression in the parenthesis.

Answer:

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

Step-by-step explanation:

The length of the box = [tex]l[/tex]

The height of the box = [tex]h[/tex]

The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.

The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]

hence volume = [tex]l^2 \times h =29[/tex]

Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.

[tex]h =29/l^2[/tex]

In the next phase, we are to find the surface area of the box.

The box has a square base, hence it will be made up of

2 squares with 4 rectangles. This is assuming the top is closed.

This means the surface area will be

[tex]2(l^2) +4 (l\times h)[/tex]

recall [tex]h = 29/l^2[/tex]

Hence, surface area =

[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

The surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of cuboid or box can be given as,

[tex]V=l\times b\times h[/tex]

Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.

A closed box has a square base with side length l feet and height h feet.  Therefore, the length and width will be the same.

The volume of the box is 29 cubic feet. Thus,

[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]

The surface area of the square base box is,

[tex]A=2l^2+4lh[/tex]

Put the value of height,

[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]

Hence, the surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

Learn more about the volume of cylinder here;

https://brainly.com/question/12748872

Answer:

69

Step-by-step explanation:

Answer:

O The range of the function is all real numbers greater

than or equal to 0.

Step-by-step explanation:

The function f(x) = -square root x is shown on the graph.

Which statement is correct?

ТУ

7

6

5

3

The domain of the function is all real numbers less

than or equal to - 1

O The range of the function is all real numbers greater

than or equal to 0.

The range of the function is all real numbers less

than or equal to 0.

The domain of the function is all real numbers less

than or equal to 0.

2

55

14

-

2

-

3

4 5 6 7 X

-2

3

4

-5

Answer:

C:domain: all real numbers

range: all real numbers greater than 1

Step-by-step explanation:

Edge 2021

Answer:

48 books

Step-by-step explanation:

32-8 = 24

24= 1/2 of total

24x2=48

Answer=48 books

Check:

48/2=24

24+8=32

YAY!!

Answer:

48 comic books

Step-by-step explanation:

Let's use x as the amount that he originally had.

If he sold half of them, that would be:

(1/2)x

Then he bought 8 more, so you would add 8 to that total.

(1/2)x + 8

If he now has 32 then we need to set that equation to equal 32.

(1/2)x + 8 = 32

Subtract 8 from each side.

(1/2)x = 24

Then you will divide 24 by 1/2. That is the same thing as multiplying by 2.

So,

x = 48

Check work

(1/2)x + 8 = 32

(1/2)(48) + 8 = 32

Half of 48 is 24.

24 + 8 = 32.

32 = 32.

Answer:

It’s 10 inches, 12 inches, 13 inches

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

value in a expansion is 5

expansion

simplistic form

Answer:

m = 136

Step-by-step explanation:

m/8 - 5 = 12

1. Add 5 on both sides

m/8 - 5 + 5 = 12 + 5

m/8 = 17

Multiply 8 on both sides since u are trying to isolate the variable

m/8 * 8 = 17*8

m = 136

Check

136/8 - 5 = 12

17 - 5 = 12

12 = 12

Hope it helped!

Step-by-step explanation:

[tex]\frac{m}{8}[/tex] - 5 = 12 : Original Problem

[tex]\frac{m}{8}[/tex] -5 +5 = 12 + 5 : Bringing the constants to one side

[tex]\frac{m}{8}[/tex] = 17 : Simplification

[tex]\frac{m}{8}[/tex]×8 = 17×8: Isolating the variable

m = 136 : The answer!!!

Checking the answer

[tex]\frac{136}{8}[/tex] -5 = 12 : Substitution

[tex]\frac{136}{8}[/tex] = 17 : Bringing constants to one side and simplification

136 = 17 × 8 : Isolating the answer

136 = 136 : Success!!!

I hope this is what you wanted and I hope this helps!!!

Answer:

It is the 3rd graph

Step-by-step explanation:

It is the only one that shows a porpotional relationship.

Answer:

sry mate.....

............

Answer:

n ≥ -95

Step-by-step explanation:

[tex]\frac{n}{-5}[/tex]  -4 ≤ 15    

[tex]\frac{n}{-5}[/tex] ≤ 19             add 4 to 15

n ≥ -95            multiple -5 to 19; sign flips when multiplying or dividing an inequality

Answer:

30

Step-by-step explanation:

If 50% is 15 then to find 100% you have to multiply 15 by 2

Because 50% is half of 2.

15•2=30

Answer:

30

Step-by-step explanation:

50%  half  100 so 15*2 is 30

Answer:

Step-by-step explanation:

We will use a proportion to solve this.

x/y = x/y

let x = the number of families in each case

let y = the number of plants in each case

Since we don't know the second y, we will leave that as y and solve for it.

50/150 = 65/y

Cross-multiply

50y = 9750

Divide

195  = y

Now, we can check this by substituting the value of y back into the equation and seeing if both sides equal.

50 (195) = 9750

9750 = 9750 ✅

Answer:

There are no solutions

Step-by-step explanation:

No intersections or points that apply for the equations.

Any intersection between both lines is a solution. As these lines are parallel they have no solution. If they met at any point, 90 degree or not, there is  solution, the solution will be a point. If they are on the same line, hitting all the same points, the solutions are infinite.

its 3 shorts

Step-by-step explanation:

11×5= 55 82-55= 27 27÷9= 3

Answer:

Step-by-step explanation:

Given this information, we can set up an equation

[tex]11x + 9y = 82[/tex], where x is the amount of shirts bought, and y is the amount of shorts bought. Since we know she bough 5 shirts, we can replace x with 5

[tex]11 (5) + 9y = 82[/tex]   Now, we have to find for y.

Step 1. Simplify

[tex]55+9y=82[/tex]

Step 2. Subtract 55 from both sides

[tex]55-55+9y=82-55\\9y=27[/tex]

Step 3. Divide both sides by 9

[tex]\frac{9y}{9}=\frac{27}{9}\\y=3[/tex]

If y = 3, this means that Jiyoung bought 3 shorts.

Answer: There are 2/3 cups of peanuts and 21/4 cups of trail mix if you are to subtract the two witch gives you 4.58333333333 then simplify that as a fraction  u should get 41/2 then simplify that u should get  20 or 1/2

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

The number of students in Mr.Romano’s class is 35.

Given that, in Mr. Romano‘s class, 40% of the students like baseball.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of students in Mr.Romano’s class be x.

Here, 40% of x = 14

⇒ 40/100 × x = 14

⇒ 0.4x = 14

⇒ x = 14/0.4

⇒ x = 35

Therefore, the number of students in Mr.Romano’s class is 35.

To learn more about an equation visit:

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Answer:20 minutes

Step-by-step explanation:

4m + 9 + 5m – 12 = 42. A. m = 5 B. m = 4 C. m = –5 D. m = -4

Answer:

yes

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

you have to multiply 2/3 by 27 km