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3 years ago

7

Simplify into one fraction 8x-2/x-8-2/x-8

1 answer:

Elis [28]3 years ago

3 0

$\frac{8x-2}{x-8} - \frac{2}{x-8}$

The fractions already have a common denominator of x-8, so all wee need to do is combine the numerators:

$\frac{8x-2-2}{x-8}$

$\frac{8x-4}{x-8}$

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Answer:

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Step-by-step explanation:

Let the numbers be $x, y\ and\ z.$

Such that:

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Make z the subject

$z = 140 -x - y$

For their product to be maximum, we have:

$f(x,y,z) = xyz$

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Factorize:

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Split

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---------------------------------------------------

Substitute y = 0

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$140x - x^2 = 0$

Factorize

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---------------------------------------------------

Substitute $y = 140 - 2x$

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Factor x out

$x(3x - 140) = 0$

Divide through by x

$3x - 140 = 0$

$3x = 140$

$x = \frac{140}{3}$

Recall that: $y = 140 - 2x$

$y = 140 - 2 * \frac{140}{3}$

$y = 140 - \frac{280}{3}$

Take LCM

$y = \frac{140*3-280}{3}$

$y = \frac{140}{3}$

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$z = 140 - \frac{140}{3} - \frac{140}{3}$

Take LCM

$z = \frac{3 * 140- 140 - 140}{3}$

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Hence, the numbers are:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

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