Final answer:
After evaluating the expression 3x² + y + 4z with the values x = -1, y = 4, and z = 6, the result is 31, which is not listed in the provided answer choices.
Step-by-step explanation:
The question requires us to evaluate a given expression (3x² + y + 4z) using the provided values for x, y, and z. The values given are x = -1, y = 4, and z = 6.
- Firstly, substitute x with -1: 3(-1)² = 3(1) = 3.
- Next, y is given as 4, so we just keep it as it is.
- Lastly, substitute z with 6: 4(6) = 24.
Now add them all together: 3 + 4 + 24 = 31.
None of the answer choices match this result, leading to the conclusion that there might be an error in the question or the answer choices provided. However, the method described above is the correct way to evaluate the given expression using the substitution method.