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marysya [2.9K]
2 years ago
12

(c) The original function y= A(n) converted an input, the circle's radius, to an output, the circle's area.

Mathematics
1 answer:
timama [110]2 years ago
3 0

Two functions f(x) and g(x) are inverses if and only if is true that each function evaluated in the other is equivalent to the identity.

This means that:

f( g(x)) = g( f(x)) = x

With this we can see that:

Input = area

Output = radius.

-------------------------------------

Let's see how we concluded that.

First, we know that the function:

y = A(n) converts an input, the radius of a circle into an output, the circle's area.

Let's assume that G(x) is the inverse function, and "n" is the variable that represents the radius.

By the definition of inverse functions we must have that:

G( A(n)) = n

and n is a radius, so the <u>output of the inverse function is the radius of a circle.</u>

And <u>A(n) is the</u><u> area </u><u>of that circle,</u> then the <u>input for the inverse function is the area.</u>

<u />

Finally, we can conclude that:

Input: Area

Output: Radius.

If you want to learn more, you can read:

brainly.com/question/2541698

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Divide 36 books into two groups so the ratio is 5 to 7. (Use the double number line strategy)
lutik1710 [3]

A ratio of 5:7 means out of 12 books, 5 are in one category and 7 are in another. (The “category” isn’t specified in this problem.)


So here we’re STARTING with 36 books; we want to find a ratio that is equal to 5:7 and adds up to 36. Well 36 = 3(12), and so if we multiply each number in the ratio by 3 as well, we might get what we want. Doing that gives us 15:21, which adds up to 36 and is equal to 5:7. Boom, that’s the answer.


P.S. Here’s a question you can think about: why do ratios stay the same when you multiply each number by the same amount? (For example, why is 3:1 the same as 6:2?)

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Answer:

3

Step-by-step explanation:

(6 + 2 x 6)/(15 - 11 + 2)

(6 + 12)/(4 + 2)

18/6

3

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wel

Answer:

the difference between bobby and the pool deck is 35 feet

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Answer:

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Step-by-step explanation:

Speed of the parachutist is kilometers per hour = 180

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