Answer :
Certainly! Let's find the value of the expression [tex]\(-3b^2 + 25\)[/tex] given that [tex]\(b = 7\)[/tex].
1. Substitute the value of [tex]\(b\)[/tex]:
Since [tex]\(b = 7\)[/tex], plug this value into the expression. The expression becomes:
[tex]\[
-3 \times (7)^2 + 25
\][/tex]
2. Calculate [tex]\(b^2\)[/tex]:
First, calculate [tex]\(7^2\)[/tex], which is:
[tex]\[
7 \times 7 = 49
\][/tex]
3. Multiply by -3:
Next, multiply this result by [tex]\(-3\)[/tex]:
[tex]\[
-3 \times 49 = -147
\][/tex]
4. Add 25 to the result:
Finally, add 25 to [tex]\(-147\)[/tex]:
[tex]\[
-147 + 25 = -122
\][/tex]
Therefore, the value of the expression [tex]\(-3b^2 + 25\)[/tex] is [tex]\(-122\)[/tex].
So, the correct answer is option b) -122.
1. Substitute the value of [tex]\(b\)[/tex]:
Since [tex]\(b = 7\)[/tex], plug this value into the expression. The expression becomes:
[tex]\[
-3 \times (7)^2 + 25
\][/tex]
2. Calculate [tex]\(b^2\)[/tex]:
First, calculate [tex]\(7^2\)[/tex], which is:
[tex]\[
7 \times 7 = 49
\][/tex]
3. Multiply by -3:
Next, multiply this result by [tex]\(-3\)[/tex]:
[tex]\[
-3 \times 49 = -147
\][/tex]
4. Add 25 to the result:
Finally, add 25 to [tex]\(-147\)[/tex]:
[tex]\[
-147 + 25 = -122
\][/tex]
Therefore, the value of the expression [tex]\(-3b^2 + 25\)[/tex] is [tex]\(-122\)[/tex].
So, the correct answer is option b) -122.
