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mars1129 [50]
3 years ago
15

Rewrite f(x) = –2(x − 3)^2 + 2 from vertex form to standard form.

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0
F(x) = -2(x - 3)^2 + 2 = -2(x^2 - 6x + 9) + 2 = -2x^2 + 12x - 18 + 2 = -2x^2 + 12x - 16

f(x) = -2x^2 + 12x - 16
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Step-by-step explanation:

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3 years ago
In figure 2, find x if the perimeter is 4. Does each answer make sense? Why or why not?
stealth61 [152]

The value of x is equal to 1.5.

It is required to find x.

<h3>What is quadratic equation?</h3>

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

So for the triangle, the perimeter would be:

(x^{2} +x+3)+(x^{2} +2x-2)+(x^{2} +2x-9)=4

By solving in above equation, we get

(x^{2} +x+3)+(x^{2} +2x-2)+(x^{2} +2x-9)=4\\\\\\\2x^{2}+5x-8=4\\\\2x^{2}+5x-12=0\\\\2(x + 4)(x - 1.5)=0\\\\ x=-4\\\\ x=1.5

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Hence, the value of x is equal to 1.5.

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8 0
2 years ago
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blagie [28]

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Step-by-step explanation:

(x + 53)° + (x + 74)° + 73° = 180°

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m\angle A = (x +53)\degree \\\\m\angle A = (-10 +53)\degree \\\\m\angle A = 43\degree \\\\

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3 years ago
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Step-by-step explanation:

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Salsk061 [2.6K]

Answer:

a = 8 ÷ 1/8

Step-by-step explanation:

All I really did was put another variable similar to the x in the original problem, then I changed the numbers to be a bit lower while still keep the original work-- In a short term, I lowered the 9s to 8s.

4 0
3 years ago
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