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