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Serggg [28]
2 years ago
9

Write the equations after translating the graph of y=|x+2| one unit to the right

Mathematics
1 answer:
katrin [286]2 years ago
4 0
Function
y = |x + 2|

One right
y = |x + 2 - 1|
y = |x + 1|

One left
y = |x + 2 + 1|
y = |x + 3|

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Assuming she make no profit and no loss from the business.

Let the number of gallons of the $8 grade water used be x, that of the $3 grade water, y, and that of the $4.50 grade water be z, then:

x + y + z = 200 . . . (1)
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Putting equation (3) into equations (1) and (2), we have:

x + y + 2y = 200
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and
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Multiplying equation (4) by 4, we have:
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Subtracting equation (6) from equation (5), we have:
4x = 200
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Substituting for x into equation (4), we have:
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or 3y = 200 - 50 = 150
or y = 150 / 3 = 50

Substituting for z into equation (3) gives:

z = 2(50) = 100

Therefore, 50 gallons each of the $8 grade water and the $3 grade water should be used and 100 gallons of the $4.50 grade water.
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