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3 years ago

What is the reciprocal of 3 1/4

Mathematics

2 answers:

Zinaida [17]3 years ago

7 0

3 1/4 = 13/4
so the reciprocal is 4/13

elena55 [62]3 years ago

4 0

3 1/4

Pronounced three and one-fourths.

Make this mixed number into an improper fraction.

Improper fraction : (4 × 3) + 1 = 13/4

So, now you have 13/4.

A reciprocal is basically just when you switch the numerator (top number) with the denominator (bottom number).

So, the reciprocal is : 4/13

~Hope I helped!~

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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.

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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).

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

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

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