Answer :
Let's find the value of the expression [tex]\(-3b^2 + 25\)[/tex] when [tex]\(b = 7\)[/tex].
1. Substitute the value of [tex]\(b\)[/tex]:
We are given [tex]\(b = 7\)[/tex]. Plug this value into the expression, so it becomes [tex]\(-3(7)^2 + 25\)[/tex].
2. Calculate [tex]\(b^2\)[/tex]:
First, find [tex]\(7^2\)[/tex], which is [tex]\(7 \times 7 = 49\)[/tex].
3. Multiply by -3:
Next, multiply this result by [tex]\(-3\)[/tex] to get [tex]\(-3 \times 49 = -147\)[/tex].
4. Add 25:
Finally, add 25 to [tex]\(-147\)[/tex], which gives [tex]\(-147 + 25 = -122\)[/tex].
The value of the expression [tex]\(-3b^2 + 25\)[/tex] when [tex]\(b = 7\)[/tex] is [tex]\(-122\)[/tex].
So, the correct answer is [tex]\(\text{A) -122}\)[/tex].
1. Substitute the value of [tex]\(b\)[/tex]:
We are given [tex]\(b = 7\)[/tex]. Plug this value into the expression, so it becomes [tex]\(-3(7)^2 + 25\)[/tex].
2. Calculate [tex]\(b^2\)[/tex]:
First, find [tex]\(7^2\)[/tex], which is [tex]\(7 \times 7 = 49\)[/tex].
3. Multiply by -3:
Next, multiply this result by [tex]\(-3\)[/tex] to get [tex]\(-3 \times 49 = -147\)[/tex].
4. Add 25:
Finally, add 25 to [tex]\(-147\)[/tex], which gives [tex]\(-147 + 25 = -122\)[/tex].
The value of the expression [tex]\(-3b^2 + 25\)[/tex] when [tex]\(b = 7\)[/tex] is [tex]\(-122\)[/tex].
So, the correct answer is [tex]\(\text{A) -122}\)[/tex].
