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omeli [17]
3 years ago
6

Rewrite the following equation x(x)-14x+24=y in vertex form. What is the vertex?

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Step-by-step explanation:

y = x² − 14x + 24

To convert to vertex form, complete the square.  Take half of the second coefficient, square it, then add the result to both sides.

(-14/2)² = 49

y + 49 = x² − 14x + 49 + 24

y + 49 = (x − 7)² + 24

y = (x − 7)² − 25

The vertex is (7, -25).

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8/7 = 12/k solve for k
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Read 2 more answers
A basketball player stands near the middle of the court and throws the ball toward the basket.
kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

Step-by-step explanation:

General equation of parabola in vertex form y= a(x-h)^2+k

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The  ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

y=a(x-18)^2+12  ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So,6=a(0-18)^2+12

6=324a+12

-6=324a

\frac{-6}{324}=a

\frac{-1}{54}=a

Substitute the value in 1

So,y=\frac{-1}{54}(x-18)^2+12

Hence a function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

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3 years ago
What is the total purchase price of a $13.65 shirt if the sales tax rate is 6.2%?
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Answer:

14.49

Step-by-step explanation:

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