Evaluate the expression when c equals negative 5 and d equals 2.
4 left parenthesis 3d plus 2c right parenthesis plus 12
(1 point)
Responses
Negative 4
Image with alt text: Negative 4
76
76
Negative 16
Image with alt text: Negative 16
Negative 32
To evaluate the expression when c equals negative 5 and d equals 2:
4(3d + 2c) + 12
Substituting the values:
4(3(2) + 2(-5)) + 12
Simplifying:
4(6 - 10) + 12
4(-4) + 12
-16 + 12
Resulting in:
-4
To evaluate the expression, we substitute the given values of c and d into the expression and simplify.
Given: c = -5, d = 2
The expression is: 4(3d + 2c) + 12
Substitute the values: 4(3(2) + 2(-5)) + 12
Simplify within the parentheses: 4(6 - 10) + 12
Further simplify within the parentheses: 4(-4) + 12
Perform multiplication: -16 + 12
Finally, add the two terms: -4
Therefore, when c equals -5 and d equals 2, the expression evaluates to -4.
To evaluate the expression 4(3d + 2c) + 12 when c equals -5 and d equals 2, we substitute the given values into the expression.
First, replace c with -5 and d with 2 in the expression:
4(3(2) + 2(-5)) + 12
Next, simplify the expression inside the parentheses:
4(6 - 10) + 12
Now, perform the multiplication and addition/subtraction:
4(-4) + 12
Multiply 4 by -4:
-16 + 12
Finally, add -16 and 12:
-4
Therefore, when c equals -5 and d equals 2, the expression 4(3d + 2c) + 12 evaluates to -4.