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castortr0y [4]
4 years ago
14

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

Mathematics
1 answer:
Eva8 [605]4 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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What are the Coefficients in 4e + 7e + 5
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Step-by-step explanation:

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Soloha48 [4]
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3 years ago
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Which table represents a direct variation function?
sineoko [7]

Answer:

Option C is correct.

Step-by-step explanation:

A direct variation function is

y/x = k

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We will check for each Option given.

Option A

7/2 = 7/2

8/3 = 8/3

9/4 = 9/4

10/5 = 2

11/6 = 11/6

Option D is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant

Option B

-3/2 = -3/2

-5/4 = -5/4

-6/6 = -1

-7/8 = -7/8

-8/10 = -4/5

Option B is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant

Option C

10/-5 = -2

8/-4 = -2

6/-3 = -2

4/-2 = -2

2/-1 = -2

Option C is correct as y/x = k as ratio of y/x for each value in table c is equal to constant value -2

Option D

-3/-2 = 3/2

-3/1 = -3

-3/0 = 0

-3/1 = -3

-3/2 = -3/2

Option D is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant .

SO, Option C is correct.

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4 years ago
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What's 22/15+ 15/15?
Aleksandr [31]

Answer:

2  7/15

Step-by-step explanation:

37/15 or 2 7/15

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