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Vera_Pavlovna [14]
3 years ago
7

The volume of this rectangular prism is 112 cubic centimeters. What is the value of y?

Mathematics
1 answer:
KIM [24]3 years ago
7 0

Answer:

y=8

Step-by-step explanation:

1. 112=7*2*y

2. (112)/14=(14*y)/14 (<u>Divide both sides by 14</u>)

3. 8=y

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Step-by-step explanation:

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For the function f(x)
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Given:

The function is

f(x)=\dfrac{8\sqrt[3]{x}-8}{9}

To find:

The inverse function f^{-1}(x).

Solution:

We have,

f(x)=\dfrac{8\sqrt[3]{x}-8}{9}

Step 1: Putting f(x)=y, we get

y=\dfrac{8\sqrt[3]{x}-8}{9}

Step 2: Interchange x and y.

x=\dfrac{8\sqrt[3]{y}-8}{9}

Step 3: Isolate variable y.

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Taking cube on both sides, we get

\left(\dfrac{9x+8}{8}\right)^3=y

y=\left(\dfrac{9x+8}{8}\right)^3

Step 4: Putting y=f^{-1}(x), we get

f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3

Therefore, the correct option is C.

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