An operation * is defined by the relation x*y = 5x + 3y - 4xy
Evaluate (3*2)*4
well, 3*2= 15+6-24=-3 check that
then -3*4 must be =-15+12+48=45 check that.
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.
To evaluate (3*2)*4 using the defined operation *, we need to substitute the values of x and y in the equation x*y = 5x + 3y - 4xy.
Let's begin evaluating (3*2):
Substituting x = 3 and y = 2 into the equation, we have:
3 * 2 = 5(3) + 3(2) - 4(3)(2)
= 15 + 6 - 24
= -3
Now, we have the value -3. We will use this value as x, and substitute it into the equation when evaluating (negative 3) * 4.
Substituting x = -3 and y = 4 into the equation, we have:
-3 * 4 = 5(-3) + 3(4) - 4(-3)(4)
= -15 + 12 + 48
= 45
Therefore, the evaluation of (3*2)*4 using the defined operation * is 45.