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]: First, substitute 7 for [tex]\(b\)[/tex] in the expression.
[tex]\[
-3 \times 7^2 + 25
\][/tex]
2. Calculate [tex]\(b^2\)[/tex]: Next, calculate [tex]\(7^2\)[/tex].
[tex]\[
7^2 = 49
\][/tex]
3. Multiply by -3: Now, multiply 49 by -3.
[tex]\[
-3 \times 49 = -147
\][/tex]
4. Add 25: Finally, add 25 to the result from the previous step.
[tex]\[
-147 + 25 = -122
\][/tex]
So, the value of the expression when [tex]\(b = 7\)[/tex] is [tex]\(-122\)[/tex]. The correct answer is option B) [tex]\(-122\)[/tex].
1. Substitute the value of [tex]\(b\)[/tex]: First, substitute 7 for [tex]\(b\)[/tex] in the expression.
[tex]\[
-3 \times 7^2 + 25
\][/tex]
2. Calculate [tex]\(b^2\)[/tex]: Next, calculate [tex]\(7^2\)[/tex].
[tex]\[
7^2 = 49
\][/tex]
3. Multiply by -3: Now, multiply 49 by -3.
[tex]\[
-3 \times 49 = -147
\][/tex]
4. Add 25: Finally, add 25 to the result from the previous step.
[tex]\[
-147 + 25 = -122
\][/tex]
So, the value of the expression when [tex]\(b = 7\)[/tex] is [tex]\(-122\)[/tex]. The correct answer is option B) [tex]\(-122\)[/tex].
