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BigorU [14]
3 years ago
6

Jake and amber worm at McDonald's they each earn $8 per hour jake works three more hours then amber if jake and amber made a tot

al of $120 how many hours did jake work?
Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

9 hours

Step-by-step explanation:

Set up the equations: x is the amount of hours Amber worked and y is the hours Jake worked

8x + 8y = 120

y = 3 + x

Substitute the second equation into the first

8x + 8(3+x) = 120

Distribute

8x + 24 + 8x = 120

Combine like-terms

16x + 24 = 120

Subtract 24 on both sides

16x = 96

Divide 16 on both sides

x = 6 (hours Amber worked)

Plug in this x-value into on of the two equations. I will use the second

y = 3 + 6

y = 9

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Answer:

The horizontal asymptote can be described by the line y = 6

The vertical asymptote can be described by the line x = -2

Step-by-step explanation:

* <em>Lets the meaning of vertical and horizontal asymptotes</em>

- <u><em>Vertical asymptotes</em></u> are vertical lines which correspond to the zeroes

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- <u><em>A horizontal asymptote</em></u> is a y-value on a graph which a function

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* <em>Lets solve the problem</em>

∵ f(x)=\frac{6x}{x+2}

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∴ The numerator and the denominator have same degree

∵ The leading coefficient of the numerator is 6

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- Subtract 2 from both sides

∴ x = -2

∴ <em>The vertical asymptote can be described by the line x = -2</em>

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