SOLUTION: Hello, My problem is - If x = -2, y = 3, and z = 4, which expression has the greatest value? a. z(x-y) b. z(x-y) to the 2nd power - x c. z(x-y) to the 3rd power + x d. z over x

Question 647491: Hello, My problem is - If x = -2, y = 3, and z = 4, which expression has the greatest value?
a. z(x-y)
b. z(x-y) to the 2nd power - x
c. z(x-y) to the 3rd power + x
d. z over x - xy
-I have looked several chapters back and still can't find a thing on how to do this.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)

z(x-y)

4(-2-3) ... Plug in x = -2, y = 3, and z = 4

4(-5)

-20

So z(x-y) = -20 when x = -2, y = 3, and z = 4
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b)

z(x-y)^2 - x

4(-2-3)^2 - (-2) ... Plug in x = -2, y = 3, and z = 4

4(-2-3)^2 + 2

4(-5)^2 + 2

4(25) + 2

100 + 2

102

So z(x-y)^2 - x = 102 when x = -2, y = 3, and z = 4

So far, choice B is the largest.
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c)
z(x-y)^3 + x

4(-2-3)^3 + (-2)

4(-2-3)^3 - 2

4(-5)^3 - 2

4(-125) - 2

-500 - 2

-502

So z(x-y)^3 + x = -502 when x = -2, y = 3, and z = 4

Choice C is NOT larger than choice B. So choice B is still the largest.

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d)

I'm assuming this one is

z/x - xy

4/(-2) - (-2)(3)

-2 - (-2)(3)

-2 - (-6)

-2 + 6

4

So z/x - xy = 4 when x = -2, y = 3, and z = 4
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Answer:

Choice B is has the greatest value.

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