Jeremiah always rides his bike to and from work. The total

Mathematics

1 answer:

Katen [24]2 years ago

7 0

From the computation done, the total kilometers that he uses last month will be 262.8 kilometers.

The total length of a trip to and from work is 14.6 kilometers and last month, Jeremiah worked 18 days.

Therefore, the kilometers that he rode his bike to and from work last month will be;

= 14.6 × 18.

= 262.8 kilometers.

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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.

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.

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).

Taken altogether, these factors give us the function ...

$\boxed{f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}}$