College

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

A) -122
B) 172
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:
[tex]\[
-3(7)^2 + 25
\][/tex]

2. Calculate the square of 7:
[tex]\[
7^2 = 49
\][/tex]

3. Multiply the squared value by -3:
[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].

The correct answer is A) -122.