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Marina CMI [18]
3 years ago
5

The answer choices are 11 1 2.48 6

Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:

The ball reached its maximum height of (11\ yards) in (1\ second).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6

Now factor out the coefficient of the quadratic term:

h(t)=-5(t^2 -2t) + 6

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6

Now take the balancing term out of the parenthesis:

\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))

Simplify:

h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

(1, 11)

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A basketball player made 40% of the shots she attempted.if she made 32 baskets, how many shots did she attend?
malfutka [58]
32 divde by 2 = 16 (50%) 
32 divde by 10 = 3.2 (10%) 
16 - 3.2 = 12.8 (40%)
3.2 times 4 = 12.4 (40%)

You would round the number to the nearest whole because you can't make a . of a shot. Therefore the answer would be that she made 12 shots.

Hope this helps! 
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Answer:

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Step-by-step explanation:

To convert the standard form equation into slope-intercept, we must make y isolated.

Step 1: Subtract 6x from both sides.

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Step 2: Divide both sides by -2 and flip the inequality sign.

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Therefore, the answer is J.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Step-by-step explanation:

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Step-by-step explanation:

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