Final answer:
To evaluate the expression m² + 5m +9 when m is -3, you perform substitution and follow the order of operations to find the result is 3.
Step-by-step explanation:
To evaluate the expression m² + 5m +9 when m = -3, substitute -3 for m in the expression. After substitution, the expression becomes (-3)² + 5(-3) + 9.
Here are the steps to evaluate it:
- Square the value of m: (-3)² = 9.
- Multiply m by 5: 5(-3) = -15.
- Add these results together along with the constant 9: 9 - 15 + 9.
- Combine the numbers to find the value: -6 + 9 = 3.
Therefore, the value of the expression when m = -3 is 3.