Evaluate the expression for the given value of the variable.
|-3x-4|+|2-x^2|-4x; x=-3
put in for x, -3
abs(9-4)+abs(2-9) +12=?
5+7+12=?????
check my thinking.
24
To evaluate the expression |-3x-4|+|2-x^2|-4x for the given value of x=-3, we need to substitute x=-3 into the expression and perform the necessary calculations.
Step 1: Substitute x=-3 into the expression.
|-3(-3)-4|+|2-(-3)^2|-4(-3)
Step 2: Simplify the expressions inside the absolute value brackets.
|-3(-3)-4|+|2-9|-4(-3)
Step 3: Simplify the expressions further using the order of operations (PEMDAS/BODMAS).
|9-4|+|2-9|-12
Step 4: Continue evaluating.
|5|+|-7|-12
Step 5: Calculate the absolute values.
5+7-12
Step 6: Perform the addition and subtraction operations.
12-12
Step 7: The final result is 0.
Therefore, when x = -3, the expression |-3x-4|+|2-x^2|-4x simplifies to 0.