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Post a New Question | Current Questions | Chat With Live Tutors
Posted by Matrix School 1 on Thursday, July 9, 2009 at 2:47pm.
An operation * is defined by the relation x*y = 5x + 3y - 4xy
Evaluate (3*2)*4
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- Elementary Set Theory - bobpursley, Thursday, July 9, 2009 at 2:54pm
well, 3*2= 15+6-24=-3 check that
then -3*4 must be =-15+12+48=45 check that.
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- Elementary Set Theory - Marth, Thursday, July 9, 2009 at 2:57pm
Everywhere you see the * symbol, use the function 5x + 3y - 4xy, where x and y are the numbers to either side of the * symbol.
Order of operations still applies: start within the parentheses first.
3*2 = 5(3) + 3(2) - 4(3)(2)
3*2 = 15 + 6 - 24
3*2 = -3
Now you have (-3)*4
-3*4 = 5(-3) + 3(4) - 4(-3)(4)
-3*4 = -15 + 12 + 48
-3*4 = 45
So the answer is 45.
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