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Read the information given below and answer the questions that follow.(x?y) = (x + y)/2(x&y) = (x2 - y2)(x$y) = (x - y)/2  Q 39.   Determine the value of (A $ B) & C, when A = 1, B = -1 and C = 2.  Ops:   A. -1    B. -3    C. 2    D. 1

Question

Read the information given below and answer the questions that follow.(x?y) = (x + y)/2(x&y) = (x2 - y2)(xy)=(xy)/2 Q39. Determinethevalueof(Ay) = (x - y)/2  Q 39.   Determine the value of (A B) & C, when A = 1, B = -1 and C = 2.  Ops:   A. -1    B. -3    C. 2    D. 1

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Solution

First, we need to find the value of (A B).GiventhatA=1andB=1,andusingtheoperationdefinition(x B). Given that A = 1 and B = -1, and using the operation definition (xy) = (x - y)/2, we get:

(A $ B) = (1 - (-1))/2 = (1 + 1)/2 = 2/2 = 1

Next, we use this result to find the value of (A B) & C. Given that (A B) = 1 and C = 2, and using the operation definition (x&y) = (x^2 - y^2), we get:

(A $ B) & C = (1^2 - 2^2) = (1 - 4) = -3

So, the value of (A $ B) & C, when A = 1, B = -1 and C = 2 is -3. Therefore, the correct answer is B. -3.

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