Answer :
Sure! Let's find the value of the expression [tex]\(-3b^2 + 25\)[/tex] when [tex]\(b = 7\)[/tex] by showing each step clearly.
1. Substitute the value of [tex]\(b\)[/tex] into the expression:
[tex]\[
-3b^2 + 25 \quad \text{where} \quad b = 7
\][/tex]
2. Calculate [tex]\(b^2\)[/tex]:
[tex]\[
7^2 = 49
\][/tex]
3. Multiply this result by [tex]\(-3\)[/tex]:
[tex]\[
-3 \times 49 = -147
\][/tex]
4. Add 25 to the resulting product:
[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:
D. [tex]\(-122\)[/tex]
1. Substitute the value of [tex]\(b\)[/tex] into the expression:
[tex]\[
-3b^2 + 25 \quad \text{where} \quad b = 7
\][/tex]
2. Calculate [tex]\(b^2\)[/tex]:
[tex]\[
7^2 = 49
\][/tex]
3. Multiply this result by [tex]\(-3\)[/tex]:
[tex]\[
-3 \times 49 = -147
\][/tex]
4. Add 25 to the resulting product:
[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:
D. [tex]\(-122\)[/tex]
