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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 function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two option
postnew [5]

Answer:

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

Step-by-step explanation:

The correct question in the attached figure

we have the function

f(x)=5(\frac{1}{5})^{x}

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

f(−x) = f(x).

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative  x-values)

f(x)=5(\frac{1}{5})^{-x}

An equivalent form will be

f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}

therefore

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

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