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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


Sagot :

To find the value of the expression [tex]\(-3b^2 + 25\)[/tex] when [tex]\(b = 7\)[/tex], follow these steps:

1. Substitute [tex]\(b = 7\)[/tex] into the expression:

[tex]\[-3(7)^2 + 25\][/tex]

2. Evaluate [tex]\((7)^2\)[/tex]:

[tex]\[7^2 = 49\][/tex]

3. Multiply the result by [tex]\(-3\)[/tex]:

[tex]\[-3 \times 49 = -147\][/tex]

4. Add 25 to the result:

[tex]\[-147 + 25 = -122\][/tex]

Therefore, the value of the expression [tex]\(-3b^2 + 25\)[/tex] when [tex]\(b = 7\)[/tex] is [tex]\(-122\)[/tex].

The best answer is:
C. -122