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If you would like to solve a set of equations, you can do this using the following steps:
equation a: y = 15 - 2z /*(-2)
equation b: 2y = 3 - 4z
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-2y = (-2) * (15 - 2z)
-2y = -30 + 4z
2y = 3 - 4z
The mistake was made at step 2: −2y = 15 − 2z [equation a in step 1 is simplified.]. The correct simplification would be <span>-2y = -30 + 4z. </span>
Answer:
For Part A:Change in Dan's increase is 1.6666666667 percent from his original pay and Kathy's is 1.53846153846 percent increase
For part B: The change in pay rates is greater for Dan than Kathy
To find an inverse function first replace f(x) with y
f(x) = 8*sqrt(x)
y = 8*sqrt(x)
Then, simply switch the places of the x and y.
x = 8sqrt(y)
Now solve for the new y by squaring both sides (to get rid of the root)
x^2 = 64y
divide to get
y = x^2/64. This is the inverse function or option C.