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BabaBlast [244]
4 years ago
12

Jeff earns money mowing lawns. His earnings and hours worked represent a direct variation. He worked for 5 hours and earned $37.

50. Determine the constant of proportionality for dollars earned per hours worked and for hours worked per dollars earned.
Mathematics
1 answer:
OLEGan [10]4 years ago
6 0

Answer:

$7.50 are earned per hour

Step-by-step explanation:

5x = 37.50

divide both sides by 5

x = 7.50

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Step-by-step explanation:

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3 years ago
For all integer values of x and constant k, if (x-k)(x-5)=x^2-9x+20, what is the value of K?
amid [387]
<h3>Answer: C) 4</h3>

============================

Work Shown:

Expand out the left hand side

(x-k)(x-5)

x(x-5)-k(x-5)

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Note that the constant term here is 5k. Yes k seems like a variable, but it's actually a constant. Once we know k, we can replace it to get a fixed number. In this case, k = 4 since 5k = 5*4 = 20 to have it match with the 20 at the end of x^2-9x+20

For the x terms, we have -5x-kx = -5x-4x = -9x which matches with the middle term of x^2-9x+20

Therefore,

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updates to

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The -4 and -5 multiply to 20, and they also add to -9. This helps confirm we have the right k value.

4 0
4 years ago
You have been given the following data set: 10,12,14,13,13,13,11,12,14,12. For the given data set: which is the more effective m
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Step-by-step explanation:

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