find the vertical asymptotes, if any, of the graph of the rational function
f(x)=x/x(2)+8
f(x)=x/x(2)+8
P * 29 = 14 * 87
P = (87/29)*14
Do the calculation.
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.
Boyle's Law can be mathematically expressed as:
PāVā = PāVā
Where:
Pā = initial pressure
Vā = initial volume
Pā = final pressure
Vā = final volume
Let's plug in the given values into the equation:
Pā = 14 pounds per square inch
Vā = 87 cubic inches
Vā = 29 cubic inches
PāVā = PāVā
14 * 87 = Pā * 29
Now, we can solve for Pā:
1218 = 29Pā
Divide both sides of the equation by 29:
Pā = 1218 / 29
Pā ā 42 pounds per square inch
Therefore, the new pressure of the gas is approximately 42 pounds per square inch.