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balu736 [363]
2 years ago
5

Simplify the expression. −4a + 3b + 6a − 8b A) 2a − 5b B) 2a − 11b C) 10a − 5b D) −2a − 5b

Mathematics
2 answers:
Ber [7]2 years ago
7 0

Collect like terms

(-4a + 6a) + (3b - 8b)

Simplify

2a - 5b

<u>Answer: D) 2a - 5b</u>

Lisa [10]2 years ago
4 0

Answer:

2a -5b

Step-by-step explanation:

−4a + 3b + 6a − 8b

Combine like terms

-4a +6a +3b -8b

2a -5b

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  • (x + y)^2 = x^2 + 2xy + y^2
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So before I put the equation into standard form, I'm first going to be putting it into vertex form. Since the vertex appears to be (-1,7), plug that into the vertex form formula:

y=a(x-(-1))^2+7\\y=a(x+1)^2+7

Next, we need to solve for a. Looking at this graph, another point that is in this line is the y-intercept (0,5). Plug (0,5) into the x and y placeholders and solve for a as such:

5=a(0+1)^2+7\\5=a(1)^2+7\\5=a+7\\-2=a

Now we know that <u>our vertex form equation is y = -2(x + 1)^2 + 7.</u>

However, we need to convert this into standard form still, and we can do it as such:

Firstly, solve the exponent: y = -2(x^2+2x+1) + 7

Next, foil -2(x^2+2x+1): y = -2x^2-4x-2+7

Next, combine like terms and <u>your final answer will be: y = -2x^2-4x+5</u>

3 0
2 years ago
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Answer:

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8 0
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