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mash [69]
3 years ago
6

Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = eight divided by x squared' + 2 Show your work.

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

g(x) = (x^2 + 2) and f(x) = 8/x.

Step-by-step explanation:

f(g(x)) =  y = 8 / (x^2 + 2)

g(x) could be x^2 + 2 and f(x) could be 8/x.

g(x) would replace the x in 8/x.

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A cylindrical tank has a height of 10 feet and a radius of 4 feet. Jane fills the tank with water at a rate of 8 cubic feet per
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<u>Given</u>:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

We need to determine the time it will take for Jane to completely fill the tank without overflowing it.

<u>Volume of the cylinder:</u>

The volume of the cylinder can be determined using the formula,

V=\pi r^2 h

Substituting the values, we have;

V=(3.14)(4)^2(10)

V=(3.14)(16)(10)

V=502.4

Thus, the volume of the cylinder is 502.4 cubic feet.

<u>Time taken:</u>

The time taken can be determined using the formula,

Time = \frac{Volume}{Rate \ of\  filling}

Substituting the values, we have;

Time = \frac{502.4}{8}

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3 years ago
Solve for f: −5f=20<br> 30 POINTS TO SOMEONE WHO HELPS
zloy xaker [14]

Answer:

\huge\boxed{\sf f = -4}

Step-by-step explanation:

\sf -5f = 20\\\\Dividing\ both\ sides\ by\ -5\\\\\frac{-5f}{-5} = \frac{20}{-5} \\\\f = -4

\rule[225]{225}{2}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
7 0
3 years ago
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