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Leto [7]
3 years ago
6

What is the minimum value of the function g(x) = x2 - 6x – 12? -21 3-21 3 3+21

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

- 21

Step-by-step explanation:

The minimum value occurs at the vertex of the function

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Given

f(x) = x² - 6x - 12

add/ subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 - 12

     = (x - 3)² - 21

with vertex = (3, - 21 )

The minimum is the value of k, that is minimum value = - 21

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The length of a rectangle is 4 yd less than three times the width, and the area of the rectangle is 55 ya? Find the dimensions o
inysia [295]

Answer:

length = 11 yard

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Step-by-step explanation:

Area of a rectangle = L W

where A = 55 yard

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solution:

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                    2(3)

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6 0
3 years ago
Mr. Wong spent 2/3 of his workday selling products and the rest of his workday making phone calls. What fraction of his workday
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Answer:

1/3

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7 0
3 years ago
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