Answer:

Step-by-step explanation:
Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.
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Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².
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Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).
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Taken altogether, these factors give us the function ...

Answer:
The "P" intercept, 31, means that Tuyet's monthly water bill would be $31 if he used no water.
Step-by-step explanation:
Answer:
B. 7.5 hours
Step-by-step explanation:
Assuming that both hoses fill at the same rate, then by simple proportion,
To raise the pool by 1 foot of water:
1 hose ---> takes 3 hours
2 hoses ----> fills twice as fast ---> will take half the time ---> 3/2 = 1.5 hrs
Hence with 2 hoses, it will take 1.5 hours to fill 1 foot of water.
to fill 5 feet of water, we will need 1.5 hours x 5 feet = 7.5 hours
Answer: A
Step-by-step explanation:
The solution to the inequality is x <= -5 and x>=-3 so A is correct
Answer:
x=3+√5 or x=3−√5
Step-by-step explanation: