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FromTheMoon [43]
3 years ago
14

45 is 20% of what number?

Mathematics
1 answer:
nadezda [96]3 years ago
5 0
x-\ number\\\\
20\%x=45\\\\
\frac{20}{100}x=45\\\\
0.2x=45\ \ \ | divide\ by\ 0.2\\\\
x=225\\\\
45\ is\ 20\% \ of\ 225.
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Answer:

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Step-by-step explanation:

Please use " ^ " to denote exponentation:

x^2 - 10x = -8

x^2 - 10x + 25 = 17

x^2 - 10x + 25 = -8

x^2 - 10x - 25 = -33

Begin with x^2 - 10x = -8.  Here's the process for completing the square:

1.  Take half of the coefficient of x and square the result:

    (1/2)(-10) = -5, and then (-5)^2 = + 25

2.  Add this 25 to the first two terms of x^2 - 10x = -8 and also to the      constant -8:    x^2 - 10x + 25 = -8 + 25, or     x^2 - 10x + 25 = 17

3.  Match this result to one of the given possible answers.  Turns out that the given possible answer matching our result is the first one:

x^2 - 10x + 25 = 17

     

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3 years ago
Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain.
Oduvanchick [21]

we know that

If (x-8) is a factor of the function f(x)=-2x^{3}+17x^{2}-64

then

x=8 is a root of the function f(x)

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Verify

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f(8)=-1,024+1,088-64

f(8)=-1,088+1,088

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therefore

<u>the answer is</u>

Yes, (x-8) is a factor of the function f(x)

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