Question

What is the value of this expression?

x = -6 and y = -1/2
4(x^2 + 3) - 2y

a) -131
b) -35
c) 57 and 1/2
d) 157

Answer 1

After substituting x = -6 and y = -1/2 into the expression and simplifying, the value of the expression is found to be 157. This corresponds to answer choice (d).

Step-by-step explanation:

The student is asking to evaluate an expression with given values for variables x and y, where x = -6 and y = -1/2. The expression provided is: 4(x^2 + 3) - 2y.

To find the value, we will substitute x and y into the expression and simplify step by step:

1. Substitute x with -6 and y with -1/2 into the expression: 4((-6)^2 + 3) - 2(-1/2).
2. Square x: (-6)^2 = 36.
3. Continue simplifying: 4(36 + 3) - 2(-1/2) = 4(39) + 1.
4. Multiply inside the parentheses: 4 * 39 = 156.
5. Finish the simplification: 156 + 1 = 157.

The value of the expression when x = -6 and y = -1/2 is 157, which corresponds to answer choice (d).