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castortr0y [4]
3 years ago
14

Find the VERTEX of the parabola f(x) = x^2 - 16x + 63

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0

Answer:

vertex = (8, - 1 )

Step-by-step explanation:

Given a parabola in standard form, f(x) = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = x² - 16x + 63 ← is in standard form

with a = 1 and b = - 16, thus

x_{vertex} = - \frac{-16}{2} = 8

Substitute x = 8 into f(x)

f(8) = 8² - 16(8) + 63 = 64 - 128 + 63 = - 1

vertex = (8, - 1 )

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3 years ago
Hadley paddled a canoe 2/3 mile in 1/4 hour. How fast did Hadley paddle, in miles per hour?
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2 years ago
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Read 2 more answers
Juana is 4 feet 8 inches tall. She won 1st place in a cross country race. To receive her medal she stood on a platform that was
ioda

Answer:

The distance from the top of her head to the floor is 6 feet 2 inches.

Step-by-step explanation:

In his case Juana's height is given to us with two kinds of units, feet and inches, in order to make our solution easyer we will transform her height to only inches. In 1 feet we have 12 inches, so we need to take the part of her height that is given in feet and multiply it by 12. We have:

height = 4*12 + 8 = 56 inches

Since she is in a platform that is 18 inches tall the distance from the top of her head to the floor is her height plus the height of the platform. We have:

distance = height + platform = 56 + 18 = 74 inches

We can now transform back to a mixed unit, we do that by dividing the distance by 12 that will be the "feet" part and the res of the division will be the "inches" part. We have:

distance = 74/12 = 6 feet 2 inches

The distance from the top of her head to the floor is 6 feet 2 inches.

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3 years ago
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