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4 years ago

14

One hundred times the quantity seven plus two

1 answer:

Mandarinka [93]4 years ago

8 0

"seven" means ' 7 '

"two" means ' 2 '

"the quantity seven plus two" means ' (7 + 2) '

"one hundred times the quantity ..." means ' <em>100 (7 + 2)</em> '
That's the expression.

One of the rules for handling these things is that you should always
take care of anything inside parentheses first. So do that.

(7 + 2) = 9

Now you can can write the expression like this: ' 100 (9) ' .

That's just <em>900 .

</em>

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3 years ago

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Let f(x)= x^2-4x-c. Find a nonzero value of c such that f(c)=c.

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Answer:

The nonzero value of c will be:

$c = 6$

Step-by-step explanation:

Given the function

$f\left(x\right)=\:x^2-4x-c$

$f\left(c\right)=\:c^2-4c-c$

as

$f(c) = c$

so

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switching the sides

$c^2-4c-c=c$

subtract c from both sides

$c^2-4c-c-c=c-c$

$c^2-6c=0$

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Using the zero factor principle

$\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$c=0\quad \mathrm{or}\quad \:c-6=0$

so, the solutions to the quadratic equations are:

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Therefore, a nonzero value of c will be:

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3 years ago

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Step-by-step explanation:

Please see attachment

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