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Olin [163]
3 years ago
13

Determine if each pair of ratios or rates is equivalent. Explain your reasoning. 288 miles on 12 gallons of fuel; 240 miles 10 g

allons of fuel
Mathematics
1 answer:
lesantik [10]3 years ago
3 0
Yes they are equivalent. This is because if you simplify each fraction : 288/12 and 240/10 they both equal 24.
\frac{288}{12}  = 24
\frac{240}{10}  = 24
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The inverse function of the above function is f(x) = \frac{x^{2} - 2}{2}

You can find the inverse of any function by switching the f(x) and x terms. Once you have done that, solve for the new f(x). Finally, what you'll have remaining is the inverse function. The work is done for you below:

f(x) = \sqrt{2x + 2} ----> Switch the x and f(x)

x = \sqrt{2f(x) + 2} ---> square both sides

x^{2} = 2f(x) + 2 ---> subtract 2 from both sides

x^{2} - 2 = 2f(x) ----> divide both sides by 2

\frac{x^{2} - 2}{2} = f(x) ----> switch the order for formatting sake.

f(x) = \frac{x^{2} - 2}{2}

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SHOW YOUR WORK/SHOW HOW YOU GOT YOUR ANSWER
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