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Lesechka [4]
3 years ago
15

At a coffee shop, Polly can choose to earn $12 per hour plus a starting bonus of $100 or she can choose to earn $16 per hour wit

h no starting bonus. After how many hours of working at the coffee shop will Patty earn the same amount for both payment options?
Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Answer:

For the first option 1h for the second option is 7h and she will earn the same which is 112$

Step-by-step explanation:

12 x 1 = 12 + 100 = 112

16 x 17 =112

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Which statement describes the behavior of the function f(x)=3x/4-x?
Oksana_A [137]

Answer:

The  graph approaches –3 as x approaches infinity. Option a is correct.

Step-by-step explanation:

The given function is

f(x)=\frac{3x}{4-x}

We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.

\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{4-x}

Taking x common from the denominator.

\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{x(\frac{4}{x}-1)}

Cancel out common factor x.

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Apply limits.

\lim_{x\rightarrow \infty}f(x)=\frac{3}{\frac{4}{\infty}-1}

\lim_{x\rightarrow \infty}f(x)=\frac{3}{0-1}

\lim_{x\rightarrow \infty}f(x)=-3

Therefore the  graph approaches –3 as x approaches infinity.

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