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Mariulka [41]
4 years ago
15

Kens auto shop had $80,000 in business last year. This year it had $160,000 in business. Find the percent increase in business

Mathematics
1 answer:
levacccp [35]4 years ago
5 0
200% increase because to get percent you do
80,000 * x/100 = 160,000
to find x you must
x/100 = 160000/80000
x/100 = 2
x = 200
so there was a 200% increase

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Step-by-step explanation:

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timurjin [86]
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4 years ago
Find the value of "k" such that 1/2 is a root of 2x^2+11x=-k
trapecia [35]

The value of k is -6

Step-by-step explanation:

The general form of the quadratic equation is y = ax² + bx + c

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∵ 2x² + 11x = -k

- Add k to both sides

∴ 2x² + 11x + k = 0

∵ The roots of the quadratic equations is the values of x when y = 0

∵ \frac{1}{2} is a root of the equation

- Substitute x by \frac{1}{2} in the equation above to find k

∵ 2( \frac{1}{2} )² + 11( \frac{1}{2} ) + k = 0

∴ 2( \frac{1}{4} ) + \frac{11}{2} + k = 0

∴ \frac{1}{2} + \frac{11}{2} + k = 0

- Add the like terms

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∴ 6 + k = 0

- Subtract 6 from both sides

∴ k = -6

The value of k is -6

Learn more:

You can learn more about the quadratic equations in brainly.com/question/8196933

#LearnwithBrainly

5 0
3 years ago
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Step-by-step explanation:

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\left\{\begin{matrix}y &> 2x+3 & \\y& 2(3)+3\Rightarrow 10>9 \: False\\10>3(3)+1\Rightarrow 10 >10 \: False

So the point (3,10) is not a solution of the given system.

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4 years ago
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