Answer :
To solve the problem, we need to evaluate the expression [tex]\(-3b^2 + 25\)[/tex] when the value of [tex]\(b\)[/tex] is 7. Let's go through the steps to find the solution:
1. Identify the expression: The expression given is [tex]\(-3b^2 + 25\)[/tex].
2. Substitute the value of [tex]\(b\)[/tex]: We know [tex]\(b = 7\)[/tex], so we replace [tex]\(b\)[/tex] in the expression with 7. This gives us:
[tex]\[
-3(7)^2 + 25
\][/tex]
3. Calculate [tex]\(7^2\)[/tex]:
[tex]\[
7^2 = 49
\][/tex]
4. Multiply by -3:
[tex]\[
-3 \times 49 = -147
\][/tex]
5. Add 25:
[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 correct answer is A. -122.
1. Identify the expression: The expression given is [tex]\(-3b^2 + 25\)[/tex].
2. Substitute the value of [tex]\(b\)[/tex]: We know [tex]\(b = 7\)[/tex], so we replace [tex]\(b\)[/tex] in the expression with 7. This gives us:
[tex]\[
-3(7)^2 + 25
\][/tex]
3. Calculate [tex]\(7^2\)[/tex]:
[tex]\[
7^2 = 49
\][/tex]
4. Multiply by -3:
[tex]\[
-3 \times 49 = -147
\][/tex]
5. Add 25:
[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 correct answer is A. -122.
