passpadi

2007

Mathematics

67ca00ce0c643c71d77dee1f

A binary operation ⊕ on real numbers is defined by x⊕y = xy + x + y for any two real numbers x and y. The value of (-3/4)⊕6 is

A.

3/4

B.

-9/2

C.

45/4

D.

-3/4

Correct Answer: 3/4

Explanation

x⊕y = xy + x + y = -3/4 (6) + (-3/4) + 6 = -9/2 - 3/4 + 6 = (-18-3+3+24) / 4 = 3/4

x⊕y = xy + x + y = -3/4 (6) + (-3/4) + 6 = -9/2 - 3/4 + 6 = (-18-3+3+24) / 4 = 3/4
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