Final answer:
After substituting x = -3 and y = 6 into the expression 4x^2 - 5y / 2x, we simplify it step by step to find that the value of the expression is -1.
Step-by-step explanation:
To find the value of the expression 4x^2 - 5y / 2x when x = -3 and y = 6, we substitute these values into the expression:
4(-3)^2 - 5(6) / 2(-3)
Simplifying,
4(9) - 30 / -6
36 - 30 / -6
6 / -6
Simplifying further,
-1