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blondinia [14]
3 years ago
13

Write g(x) = –16x + x2 in vertex form. Write the function in standard form. Form a perfect square trinomial by adding and subtra

ctingStartFraction b Over 2 EndFraction squared . Write the trinomial as a binomial squared. Write the function is in vertex form, if needed. G(x) = x2 – 16x b = –16, so StartFraction negative 16 Over 2 EndFraction squared = 64 g(x) = (x2 – 16x + 64) – 64 g(x) = (x – )2 –
Mathematics
2 answers:
Llana [10]3 years ago
8 0

Answer:

g(x) = (x - 8 ) ^2 - 64

Step-by-step explanation:

just did this

Inga [223]3 years ago
6 0

Answer:

Step-by-step explanation:

I'm not exactly sure what you're asking here, but I do know that to write a polynomial in vertex form you have to complete the square.

In standard form, our polynomial is

y=x^2-16x

To put this into vertex form, set it equal to 0 first:

x^2-16x = 0

To complete the square, we need the leading coefficient to be a 1 and it is, so we're ready to begin the process of completing the square.

Take half the linear term, square it, then add it into both sides of the equation.  Our linear term is 16.  Half of 16 is 8, and 8 squared is 64 so we add 64 to both sides.

x^2-16x+64=64

What we have accomplished by doing this is creating a perfect square binomial on the left which is

(x-8)^2=64

If we want to finish this off properly, we will move the 64 back over by the rest of the equation and set it back equal to y:

(x-8)^2-64=y

That's vertex form of the polynomial.

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leva [86]

Answer:

Evelyn's dance class on Saturday starts at 11:05 A.M.

Step-by-step explanation:

I know this because if her class takes an hour and 40 minutes you would subtract the hour and 40 minutes from 12:45 so you could do 12 - 1 which equals 11. Then you would do 45 - 40 which equals 5. And last you would put the new times together so it would be, 11:05. Her dance class starts at 11:05 A.M.

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Allisa [31]

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3 years ago
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x=8

Step-by-step explanation:

We can use the Pythagorean theorem to solve

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The definition of a parallelogram is a quadrilateral that has two sets of parallel sides.

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