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Mandarinka [93]
3 years ago
15

A taxi driver charges a $2 gas fee plus $1.25 for each mile. He charges a customer

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0

I think the answer is y=2(17)+1.25.

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5.1436 rounded to the nearest hundredth
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<img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-6%7D%7B5-2x%7D" id="TexFormula1" title="f(x)=\frac{3x-6}{5-2x}" alt="f
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i) The given function is

f(x)=\frac{3x-6}{5-2x}

The domain is all real values except the ones that will make the denominator zero.

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ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.

5-2x=0

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3x-6=0

3x=6

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x=2

iv) To find the y-intercept, we put x=0 into the given function to get;

f(0)=\frac{3(0)-6}{5-2(0)}.

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f(0)=-\frac{6}{5}.

v)

The degrees of both numerator and the denominator are the same.

The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.

The horizontal asymptote  is y=-\frac{3}{2}.

vi) The function has no common factors that are at least linear.

The function has no holes in it.

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