# algebra

when the temperature stays the same, the volume of the gas is inversely proportional to the pressure of the gas. If a balloon is filled with 87 cubic inches of a gas at a pressure of 14 pounds per square inch. Find the new pressure of the gas if the volume is decreased to 29 cubic inches.

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1. find the vertical asymptotes, if any, of the graph of the rational function
f(x)=x/x(2)+8

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2. When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 87 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 29 cubic inches.

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3. Pressure times Volume is constant in a costant-temperature situation. Let the new pressure be P.
P * 29 = 14 * 87
P = (87/29)*14

Do the calculation.

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4. f(x)=x/x(2)+8

I am going to guess you mean

f(x)=x/(x^2+8)

( the ^ sign is the standard way to indicate an exponent)

Vertical asymptotes result when a division close to zero takes place, so
you are looking at the x2 + 8 part.
but this cannot have a real solution.
since we would have to solve x^2 = -8

so your function has no vertical asymptotes.

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5. 56

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