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faltersainse [42]
2 years ago
11

Andy is scuba diving. He starts at sea level and then descends 10 feet in 2 1/2 minutes.

Mathematics
1 answer:
tino4ka555 [31]2 years ago
4 0

Answer:

A. -4 feet per minute (FPM)

B. -24 feet below sea level.

Step-by-step explanation:

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Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
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Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

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7 0
1 year ago
The coordinate points below show part of the data collected by the cell phone company, where x is age in years and y is texting
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Step-by-step explanation:

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The answer is B.

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Answer:

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Step-by-step explanation:

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Answer:

B.~f^{-1}(x)=\frac{x-4}{8}

Step-by-step explanation:

To find the inverse of a function, swap the places of the x and y variables and solve for y again.

x=8y+4\\x-4=8y\\\frac{x-4}{8}=y

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