3 years ago

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 (Divide both sides by 14)

3. 8=y

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earnstyle [38]

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Step-by-step explanation:

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3 years ago

For the function f(x)

WITCHER [35]

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.

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

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

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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2 years ago

Give an example of a set of five positive numbers that have a median of 10 and whose mean is larger than ten?

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