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Y_Kistochka [10]
3 years ago
10

Given the following perfect square trinomial, fill in the missing term. x2 − 16x + ____

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

Answer:

x^{2}-16x+64

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following perfect square trinomial given in the problem:

x^{2}-16+

2. To fill the missing term, you must divide the coefficient -16 by 2 and then you must square it, as following:

(\frac{-16}{2})^{2}=(-8)^{2}=64

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Answer: OPTION A.

Step-by-step explanation:

Given the following function:

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You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.

Since it is a Quadratic function its graph is parabola.

So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.

You can find the x-coordinate of the Vertex with this formula:

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In this case:

a=-\frac{1}{4}\\\\b=\frac{1}{2}

Then, substituting values, you get:

x=\frac{-\frac{1}{2}}{(2)(-\frac{1}{4}))}\\\\x=1

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h(1)=y=-\frac{1}{4}(1)^2+\frac{1}{2}(1)+\frac{1}{2}\\\\y=0.75

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<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>

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Step-by-step explanation:

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Step-by-step explanation:

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