evaluate the expression for the given value of the variable.
4(3h-6)-3(4h+5)/6+h ; h=-3
i think it's -37
I believe you made a mistake somewhere. Check your steps.
4[3(-3)-6]-3[4(-3)+5]
---------------------
6-3
Let's do the top, first.
4[-9-6]-3[-12+5]
4[-15]-3[-7]
-60+21
-39
Then, we still have to divide, so take 6-3, which is 3.
-39/3 = -13
To evaluate the expression for the given value of the variable, h = -3, we can follow these steps:
1. Start by substituting h with -3 in the expression: 4(3h-6)-3(4h+5)/6+h
=> 4(3(-3)-6)-3(4(-3)+5)/6+(-3)
=> 4(-9-6)-3(-12+5)/6-3
2. Simplify the expression within the parentheses:
=> 4(-15)-3(-7)/6-3
3. Evaluate the multiplication and subtraction within the first parentheses:
=> -60-3(-7)/6-3
4. Simplify the multiplication within the second parentheses:
=> -60-(-21)/6-3
5. Evaluate the subtraction within the second parentheses:
=> -60+21/6-3
6. Simplify the division:
=> -60+21/3-3
7. Evaluate the division:
=> -60+7-3
8. Simplify the addition and subtraction:
=> -53-3
9. Compute the final result:
=> -56
Therefore, the correct evaluation of the expression for h = -3 is -56, not -37.