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2 years ago

Consider the rectangle with width 8 cm and length 20 cm, write a ratio of the width to length.

Mathematics

1 answer:

NISA [10]2 years ago

3 0

Step-by-step explanation:

A ratio is a relation between two numbers.

*A ratio determines how many times 20 contains/values 8.

A ratio representing the width to the length is:

8:20.

8 represents the width, 20 represents the length.

To simplify a ratio, you must divide each side by the same number.

Simplified ratios are:

4:10 (Divide by 2)

2:5 (Divide by 4)

1:2.5 (Divide by 8)

The ratio is detailing that the length is 2.5 times larger than the width.

Your answers are;

8:20

4:10

2:5

1:2.5

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2 years ago

For the funtion f(x)= (x+7)^5, Find f^-1 (x)

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The inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

Step-by-step explanation:

For the function $f(x)= (x+7)^5$ , Find $f^{-1} (x)$

For finding inverse of x,

First let:

$y=(x+7)^5$

Now replace x with y and y with x

$x=(y+7)^5$

Now, solve for y

Taking 5th square root on both sides

$\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7$

Now, replace y with $f^{-1} (x)$

$f^{-1} (x)=\sqrt[5]{x}+7$

So, the inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

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3 years ago