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Lelu [443]
2 years ago
14

Evaluate 3(a – 4b) when a = –2 and b = 5. a. 54 b. 39 c. –54 d. –66

Mathematics
1 answer:
forsale [732]2 years ago
6 0
The answer is d: -66
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Round 7996.33774627 to the nearest ten.
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2 years ago
What is the y value of the vertex 4x^2+8x-8
Oksana_A [137]

Answer:

The y-value of the vertex is -12

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

In this problem we have

f(x)=4x^{2}+8x-8 -----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)+8=4x^{2}+8x

Factor the leading coefficient

f(x)+8=4(x^{2}+2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)+8+4=4(x^{2}+2x+1)

f(x)+12=4(x^{2}+2x+1)

Rewrite as perfect squares

f(x)+12=4(x+1)^{2}

f(x)=4(x+1)^{2}-12

The vertex is the point (-1,-12)

The y-value of the vertex is -12

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