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bonufazy [111]
3 years ago
10

An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change.

Mathematics
1 answer:
Nitella [24]3 years ago
6 0

The cost per unit of the auto shop function is the slope of the function

87 represents the slope and the cost per tire purchased

The function is given as:

\mathbf{C(t) = 87t + 32}

A linear function is represented as:

\mathbf{C(t) = mt + b}

Where:

m represents the slope or the unit rate.

So, by comparison:

\mathbf{m = 87}

This means that 87 represents the slope and the cost per tire purchased

Read more about slopes at:

brainly.com/question/18576224

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Mrs. Stevenson wants to split her class into 4 teams: Team A, Team B, Team C, and Team D. There are 28 students in her class. To
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To rationalize the denominator of 2/square 13+ squared 11 , you should multiply the expression by which fraction?
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<u><em>Answer:</em></u>

You should multiply the expression by \frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}

<u><em>Explanation:</em></u>

To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign

<u>This means that:</u>

The conjugate of a + b would be a -  b

Now, the given expression is \frac{2}{\sqrt{13}+\sqrt{11}}

<u>Consider the denominator:</u>

From the above, we can conclude that the conjugate of \sqrt{13}+\sqrt{11} is \sqrt{13}-\sqrt{11}

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<u>Therefore:</u>

You should multiply the expression by \frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}} in order to rationalize the denominator

Hope this helps :)

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