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Softa [21]
3 years ago
7

For 31 hours of work, you are paid $240.25. How much would you receive for 40 hours?

Mathematics
2 answers:
CaHeK987 [17]3 years ago
7 0
310

240.25/31= $7.75 an hour
7.75 x 40=$310
skad [1K]3 years ago
6 0
310 because you divide 240.25 by 31 and get 7.75. Then you subtract 40-31 and get 9 and multiply 9x7.75 and get 69.75. Lastly you add 69.75 and 240.25 and get 310. Hope that helps.
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To check for continuity at the edges of each piece, you need to consider the limit as x approaches the edges. For example,

g(x)=\begin{cases}2x+5&\text{for }x\le-3\\x^2-10&\text{for }x>-3\end{cases}

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\displaystyle\lim_{x\to-3^-}g(x)=\lim_{x\to-3^+}g(x)=g(-3)

By definition of g, we have g(-3)=2(-3)+5=-1, and the limits are

\displaystyle\lim_{x\to-3^-}g(x)=\lim_{x\to-3}(2x+5)=-1

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The limits match, so g is continuous.

For the others: Each of the individual pieces of f,h are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.

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3 years ago
I need help with this
VikaD [51]
This should help just try to use this

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