To find the value of the expression [tex]\(-3b^2 + 25\)[/tex] when [tex]\(b = 7\)[/tex], follow these steps:
1. Substitute [tex]\(b = 7\)[/tex] into the expression:
[tex]\[-3(7)^2 + 25\][/tex]
2. Evaluate [tex]\((7)^2\)[/tex]:
[tex]\[7^2 = 49\][/tex]
3. Multiply the result by [tex]\(-3\)[/tex]:
[tex]\[-3 \times 49 = -147\][/tex]
4. Add 25 to the result:
[tex]\[-147 + 25 = -122\][/tex]
Therefore, the value of the expression [tex]\(-3b^2 + 25\)[/tex] when [tex]\(b = 7\)[/tex] is [tex]\(-122\)[/tex].
The best answer is:
C. -122
