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3 years ago

15

Write an equation describing the relationship of the given variables. y varies inversely as the cube root of x and when x=125, y

=8.

1 answer:

notka56 [123]3 years ago

4 0

Answer:

y = 40 / x^1/3

Step-by-step explanation:

Given that :

y α x^1/3

y = k * 1 / x^1/3

y = k / x^1/3

When x = 125 ; y = 8

8 = k / 125^1/3

Cube root of 125 = 5

8 = k / 5

8 * 5 = k ; k = 40

Hence, expression becomes :

y = 40 / x^1/3

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Andru [333]

Answer:

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Step-by-step explanation:

<u>Given</u>

<u /> $f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5$

<u>Swap x and y and solve for y</u>

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<u>Final answer</u>

<u /> $f^{-1}(x)=4x+20$

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Dafna11 [192]

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