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Usimov [2.4K]
3 years ago
11

What is the answer?I dont get it please help!

Mathematics
1 answer:
Temka [501]3 years ago
3 0
2(x-5) + 4x - 7 = 7
2x-10 + 4x -7 -7 =0
6x - 24 = 0
6x = 24
x= 24/6
x= 4

Micah's answer is incorrect because X=4
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((p^2)-pq) - ((q^2)-pq)
(p^2) - (q^2) - 2pq
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Which of the following salaries will have a purchasing power of $24,035 if the inflation rate is five percent?
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The answer would be 25,300
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NO LINKS!! Please help me with these graphs. Part 1​
AveGali [126]

Problem 9

The instructions aren't stated anywhere, but I'm assuming your teacher wants you to find the equation of each parabola.

The vertex here is (h,k) = (-6,-4) which you have correctly determined.

This means

y = a(x-h)^2 + k\\\\y = a(x-(-6))^2 +(-4)\\\\y = a(x+6)^2 - 4\\\\

Next we plug in one of the other points on the parabola. We cannot pick the vertex again. Let's pick the point (-4,0) which is one of the x intercepts. We'll do this to solve for 'a'

y = a(x+6)^2 - 4\\\\0 = a(-4+6)^2 - 4\\\\0 = a(2)^2 - 4\\\\0 = a(4) - 4\\\\0 = 4a-4\\\\4a-4 = 0\\\\4a = 4\\\\a = 4/4\\\\a = 1\\\\

This means

y = a(x+6)^2 - 4\\\\y = 1(x+6)^2 - 4\\\\y = (x+6)^2 - 4\\\\

represents the equation of the parabola in vertex form.

<h3>Answer: y = (x+6)^2 - 4\\\\</h3>

========================================================

Problem 10

The vertex is (h,k) = (-2,-6)

So,

y = a(x-h)^2 + k\\\\y = a(x-(-2))^2 + (-6)\\\\y = a(x+2)^2 - 6\\\\

Now plug in another point on the parabola like (-1,-8) and solve for 'a'

y = a(x+2)^2 - 6\\\\-8 = a(-1+2)^2 - 6\\\\-8 = a(1)^2 - 6\\\\-8 = a(1) - 6\\\\a-6 = -8\\\\a = -8+6\\\\a = -2\\\\

<h3>Answer:  y = -2(x+2)^2 - 6\\\\</h3>

For each equation, you could optionally expand things out to get it into y = ax^2+bx+c form, but I think it's fine to leave it as vertex form.

7 0
1 year ago
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N^2+16n+60 over 36-n^2
svetoff [14.1K]
Factor
36-n^2 is difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
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factor

n^2+16n+60
find what 2 numbers multiply to 60 and add to 16
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the numbers are 10 and 6
so factored out
(x+6)(x+10)
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so the equation is
[(x+6)(x+10)]/[(6+x)(6-x)]=[(6+x)/(6+x)] times (x+10)/((6-x)=1 times (x+10)/(6-x)


the answer is (x+10)/(6-x)

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Answer:

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Step-by-step explanation:

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