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dedylja [7]
2 years ago
9

Rachel has completed 2/3 of her shift; Jose has completed 1/6 of his shift; Damon has finished 4/5 of his shift; and Stacy has 6

/7 of her shift remaining. Out of the four employees, who has completed the most work time? A. Damon B. Rachel C. Stacy D. Jose
Mathematics
1 answer:
Alisiya [41]2 years ago
4 0

Answer:

C. Stacy

Step-by-step explanation:

One way to compare is to convert all the fractions into decimals

    Rachel works 2/3 of her shift: Approximately= 0.667

    Jose works 1/6: approx. = 0.1667

    Damon works 4/5= 0.80

    Stacy works 6/7: approx. = 0.8571

Now this makes it much easier to compare

And since 0.85714 (Stacy's shift) is the largest number, Stacy has completed the largest portion of her shift

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According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo
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Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

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Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

2x^{2} +2x-24=0\\ \\ 2(x^{2} +x-12)=0\\ \\ x^{2} +x-12=0\\ \\ x^{2} +4x-3x-12=0\\ \\ x(x+4)-3(x+4)=0\\ \\ (x-3)(x+4)=0\\ \\ x-3=0, x=3\\ \\ or\\\\x+4=0, x=-4

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

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Ho ho ho, lets get this party started
ok so I'm just really excited to use this stuff that I just learned

so

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which is equal to the given expression.

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