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Agata [3.3K]
3 years ago
7

Write -3x^2-18-31 in vertex form.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0
Get into form a(x-h)²+k

complete the square

-3x²-18x-31
group x terms
(-3x²-18x)-31
undistribute the -3
-3(x²+6x)-31
take 1/2 of the linear coefient (6) and squaer it
6/2=3, 3²=9
add positive and negative of it inside parenthasees
-3(x²+6x+9-9)-31
complete the square
-3((x+3)²-9)-31
expand
-3(x+3)²+27-31
-3(x+3)²-4 is vertex form
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When is 20% off better than 20$ off
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Answer:

Price > 100$

Price > 150$

Step-by-step explanation:

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Therefore, when the price is more than 100$, then only x% off on the price is better than x$. (Answer)

Again, assume that 20% off on price y$ is better than 30$ off.

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3 years ago
Twice the quantity of 4d increased by 9 is 33.
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Mike has a barrel in the barn to keep water for his cows. The barrel is 4.5 feet tall and has a diameter of 3 feet. Approximatel
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we know that

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