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3 years ago

Please, if anyone can help me out here that would be great!!

Mathematics

2 answers:

vazorg [7]3 years ago

7 0

Well If john has to pay

89.95 a month so 179.9$

He was given 95$ from the company so 179.9 - 95= 84.9

and he owes 12.75 for late fees so 84.9 + 12.75

He owes a grand total of 97.4$ to the phone company

Anna007 [38]3 years ago

7 0

seriously what class are you taking? It's like class for financial advisers geese...

first we do $89.95 times 2, this results in $179.90

then suddenly, John remembered that they gave him a $95 gift card, so we subtract $179.90 from $95 to get $84.90

then for some unknown reason he remembers that he received $12.75 from the company as well, which then brings us down to $72.15

Sorry John, should have paid your over priced phone bill when you had the chance

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Solve for x.

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ANSWER

$x=\frac{2-\sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

We have

$3x^2-4x-2=0$

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

$3x^2-4x=2$

Dividing through by 3 gives

$x^2-\frac{4}{3}x= \frac{2}{3}$

Adding $(-\frac{2}{3})^2$ to both sides gives

$x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2$

The expression on the Left Hand side is a perfect square.

$(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}$

$\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}$

$\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}$

$\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}$

Splitting the plus or minus sign gives

$x=\frac{2- \sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

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