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balandron [24]
4 years ago
9

The total cost after tax to repair Keisha’s iphone is represented by the expression 0.09(75h) + 75h, where h represents the numb

er of hours it takes to repair Keisha’s iphone. What part of the expression represents the amount of tax Keisha must pay?
Please explain how you got the answer.
Mathematics
1 answer:
elena55 [62]4 years ago
8 0

the part where it says after tax to repair keishas iphone is represented by the expression 0.09


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Answer:

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ;  x = \frac{2-(3)\sqrt{2}}{2}

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(x² − 6x +3)(2x² − 4x − 7) = 0

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(2x² − 4x − 7) = 0 ..........(2)

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(x² − 6x +3) = 0

the roots can be found out as:

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x = \frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times(3)}}{2\times(1)}

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x = \frac{6\pm\sqrt{36-12}}{2}

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x = \frac{6+\sqrt{24}}{2} and, x = x = \frac{6-\sqrt{24}}{2}

or

x = \frac{6+2\sqrt{6}}{2} and, x = x = \frac{6-2\sqrt{6}}{2}

or

x = 3 + √6 and x = 3 - √6

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we have

the roots are

x = \frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-7)}}{2\times(2)}

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x = \frac{4\pm\sqrt{16+56}}{4}

or

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or

x = \frac{4+\sqrt{2^2\times3^2\times2}}{2} and, x = x = \frac{4-\sqrt{2^2\times3^2\times2}}{4}

or

x = \frac{4+(2\times3)\sqrt{2}}{2} and, x = x = \frac{4-(2\times3)\sqrt{2}}{4}

or

x = \frac{2+3\sqrt{2}}{2} and, x = \frac{2-(3)\sqrt{2}}{2}

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ; x = \frac{2-(3)\sqrt{2}}{2}

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