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marusya05 [52]
3 years ago
8

In the last baseball game, there were two 3-run home runs and 4 hits that each scored 2 runs. Write in algebraic expression to m

odel the total score.

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0
Let the number of runs made on the home run be x, then for the <span>two 3-run home runs, we have 2x

Let the number of runs made in each hit be y, then for the 4 hits that each scored 2 runs, we have 4y.

Thus the algebraic expression to model the total score is 2x + 4y.

Because, there are 3 runs per home run, then x = 3 and because there are 2 runs per hit, then y = 2.

Therefore, the total score is given by 2(3) + 4(2) = 6 + 8 = 14.
</span>
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The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

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(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

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-2(x^2-2x+1)=-3

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you can determine the coordinates of the vertex to be (1, 3)

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Read 2 more answers
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