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12. If the value of [tex]$b$[/tex] is 7, then what is the value of the expression [tex]-3b^2 + 25[/tex]?

A. 172
B. 122
C. -122
D. 17

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.

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