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. 122
C. 17
D. 172

Answer :

We are given that
[tex]$$
b = 7.
$$[/tex]

Step 1. Calculate the square of [tex]$b$[/tex]:
[tex]$$
b^2 = 7^2 = 49.
$$[/tex]

Step 2. Multiply the result by [tex]$-3$[/tex]:
[tex]$$
-3b^2 = -3 \times 49 = -147.
$$[/tex]

Step 3. Add [tex]$25$[/tex] to the result:
[tex]$$
-3b^2 + 25 = -147 + 25 = -122.
$$[/tex]

Thus, the value of the expression is [tex]$\boxed{-122}$[/tex], which corresponds to option A.