SOLUTION: Let the operations ♦ and ♥ be defined for real numbers a and b a ♦ b = 2a – b a ♥ b = (a + b)/2 What is the value of (4 ♥ 9) ♦ 3?

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Question 329400: Let the operations ♦ and ♥ be defined for real numbers a and b
a ♦ b = 2a – b
a ♥ b = (a + b)/2
What is the value of (4 ♥ 9) ♦ 3?
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4 ♥ 9 = (4 + 9)/2 =13/2
(4 ♥ 9) ♦ 3=(13/2) ♦ 3=2(13/2)-3=13-3=10

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let the operations ♦ and ♥ be defined for real numbers a and b
a ♦ b = 2a – b
a ♥ b = (a + b)/2
What is the value of
(4 ♥ 9) ♦ 3) = 2[(4+9)/2]-3
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= (13/2)-3
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= 3 1/2
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Cheers,
Stan H.
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