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:
960
Step-by-step explanation:
10 x 8 x 4 x 3
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Common factor of 16 and 24 is 8
Answer:
38, 1
Step-by-step explanation:
Since this is a transversal, we know that 3x + 2x -10 is equal to 180. Therefore:
3x + 2x - 10 = 180
5x - 10 = 180
5x = 190
x = 38
We know that 12x + 8 is equal to 4x + 16 because they are corresponding angles. So:
12x + 8 = 4x + 16 (subtract 4x, and subtract 8)
8x = 8
x = 1