Answer:To find the value of the expression 4z^2 - 7z - 2 when z = 5, we substitute z with 5 in the expression and simplify it step-by-step.
First, we substitute z with 5 in the expression:
4(5)^2 - 7(5) - 2
Next, we evaluate the exponent:
4(25) - 7(5) - 2
Now, we multiply:
100 - 35 - 2
Finally, we subtract:
100 - 35 = 65
65 - 2 = 63
Therefore, when z = 5, the value of the expression 4z^2 - 7z - 2 is 63.
Explanation: