ANSWER
a=1 and b=-12
EXPLANATION
The hyperbola has a hole at:
x=3
and a vertical asymptote at x=-4.
This implies that the denominator of the rational function is
(x-3)(x+4)
We expand to get;
This simplifies to:
comparing to
We have a=1 and b=-12
The correct answer is 9
The steps are as follow:
Therefore the possibilities are 3C1*3C1 = 3!/1!(3-1)!*3!/1!(3-1)!
= 3*2!/1*2! *3*2!/1*2! = 3*3 = 9
Therefore , the number of possibilities is 9
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HINT: When you choose the numerator for the mystery fraction, pick a number that will be reduce to fraction with the denominator.
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