3 years ago

Simplify 3(x+2)-9x+5 A) -6x+11 B) 12x+7 C) 12x+11 D) -6x+7

Mathematics

1 answer:

olchik [2.2K]3 years ago

8 0

3 (x + 2) - 9x + 5 simplified would be A) -6x + 11

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Which ordered pair is a solution of the equation? y=8x+3y=8x+3

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Multiply the first equation by 4 (so that both equations will have 8x terms) and then subtract:

8x-20y = -24

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

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Now divide both sides by -23:

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Find x by plugging y=4 into either equation:

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Find two numbers whose difference is 176 and whose product is a minimum.

Zanzabum

Let the two required numbers be x and y, then x - y = 176, thus y = x - 176.

Let the product of the two numbers be represented by

$P = xy x(x - 176) = x^2 - 176x$

For the product to be minimum, $\frac{dP}{dx} =0$

$\frac{dP}{dx} =2x - 176=0 \\ \\ \Rightarrow2x=176 \\ \\ \Rightarrow x=88$

Thus, y = 88 - 176 = -88

Therefore, the two numbers are 88 and -88.

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3 years ago