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Harman [31]
3 years ago
10

3(r-6)+2=4(r+2)-21 find the value of x and show steps

Mathematics
1 answer:
MAXImum [283]3 years ago
7 0
 3(r-6) +2 = 4(r+2) -21
3r - 6r +2 = 4r +8 -21
     -3r +2 = 4r -13
            2 = 7r -13
          15 = 7r
             r = \frac{15}{2}
             r = 7.5
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A production plant cost-control engineer is responsible for cost reduction. One of the costly items in his plant is the amount o
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248.96

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Step-by-step explanation:

Part A:

To complete the square, we will do the first few steps all at once, since they are necessary but not complicated to follow all at once.  Set the function equal to 0 first, then move the constant over to the other side:

t^2+6t=20

The most important rule for completing the square is that the leading coefficient (the number on the t-squared term) is a positive 1.  Ours is, but if it wasn't it would need to be factored out.

Next, take half the linear term, square it, and add it to both sides.  Our linear term is 6.  Half of 6 is 3, and 3 squared is 9, so we add 9 to both sides:

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f(t)=(t-h)^2+k

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x = -3

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