MATHEMATICS MIDDLE SCHOOL

Find the inverse of the following. select all that apply ​
Find the inverse of the following. select all that apply - 1

Answers

Answer 1
Answer:

Answer:

h^(- 1) (x) = \sqrt{(x - 8)^(3)} = (√(x - 8))^(3) = (x - 8)^{(3)/(2) }

Step-by-step explanation:

The given function is h(x) = \sqrt[3]{x^(2)} + 8 and we have to find the inverse function of this function h(x).

Now, let us assume,y = \sqrt[3]{x^(2)} + 8

⇒ y - 8 = \sqrt[3]{x^(2)}

⇒ (y - 8)^(3) = x^(2) {Cubing both sides}

⇒ x² = (y - 8)³

⇒ x = \sqrt{(y - 8)^(3) }

Therefore, the inverse function h^(- 1) (x) = \sqrt{(x - 8)^(3)} = (√(x - 8))^(3) = (x - 8)^{(3)/(2) }

So, options A, B, and D are correct. (Answer)

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To go bowling, it costs $2 to rent shoes and then $3.25 for each game bowled. Which of the following functions gives the total cost to bowl g games?

Answers

2+3.25g=y
G would be the independent variable, which means the total cost would depend on it since it depends on the number of games you bowl. Y could be any variable, such as T or C.
2+3.25g=y

Answer:

f(g) = 2 + 3.25g

Step-by-step explanation:

This function would be the correct answer because you would want to keep the 2 (no matter how many games you play you will still have to pay the $2 for shoes) and then you would multiply $3.25 by how many games you play.

Which is bigger half of 40 ,one fourth of20

Answers

One-fourth of 20 is 5. Which is smaller 
Half of 40 is 20. Which is Bigger.
So you answer would be: half of 40.
Hope This Helps =)

If a price is 60$ and it gets a 15% markup,what would the final price be?

Answers

Simple,

to find the rate of selling price price based on cost....-rate of cost+rate of the markup..

In work..

S%=C%+M%

The cost is $60 and C is 100%, also you know M%=15%

S%=100%+15%=115%

Rate of the selling price=115%

Step 2: Find the selling price

S=S%*CS=115%*$60S=1.15*60=$69

The selling price at a 15% markup is $69.

Thus, your answer.
Well, set up a proportion first.
x/60 = 15/100
solve the proportion to get the amount of money it was marked up: $9.
Add 9 to 60,
The final price would be $69.

35 girls and boys went walking. The ratio is 5 girls to every 2 boys. How many boys are there?

Answers

Set up a proportion:

In a sample of 5:2, you have 7 kids in all.

So the the ratio of boys to kids in a sample of 7 is 2:7.

So set up a proportion:

(2)/(7) = (X)/(35)

7x =70

X = 10

Therefore, 10 of the boys went walking.
5x-\ girls\n\n2x-\ boys\n\n5x+2x=35\n\n7x=35\ \ \ | divide\ by\ 7\n\nx=5\n\nThere\ are\ 10\ boys.

Cierra has 3 more than one half as many purses as Aisha. Define a variable and write an expression to represent the number of purses in Cierra's collection. Then find the number of purses in Cierra's collection if Aisha has 12 purses.

Answers

1/2x + 3 1/2(12) + 3 6+3=9 X= number of purses

Answer: 9 purses

Step-by-step explanation:

Let X be the unknown number. Technically X is 12 because it says in the problem. X1/2+3= 12×1/2= 6+3= 9. So, 9 purses

The house has five doors. the number of windows is two more than 5. how are there?

Answers

more than in mathematics means addition

So if there are 5 doors, and there are two more windows than doors, then there is 5 + 2 = 7 windows.

So, there is a total of 7 windows.
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