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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:
We replace [tex]\(b\)[/tex] with 7, so the expression becomes [tex]\(-3(7)^2 + 25\)[/tex].
2. Calculate [tex]\(7^2\)[/tex]:
[tex]\(7^2\)[/tex] means [tex]\(7 \times 7\)[/tex], which equals 49.
3. Multiply by [tex]\(-3\)[/tex]:
Now, multiply the result by [tex]\(-3\)[/tex]. So we have:
[tex]\(-3 \times 49 = -147\)[/tex].
4. Add 25 to the result:
Add 25 to [tex]\(-147\)[/tex]:
[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 correct answer is C) -122.
1. Substitute the value of [tex]\(b\)[/tex] into the expression:
We replace [tex]\(b\)[/tex] with 7, so the expression becomes [tex]\(-3(7)^2 + 25\)[/tex].
2. Calculate [tex]\(7^2\)[/tex]:
[tex]\(7^2\)[/tex] means [tex]\(7 \times 7\)[/tex], which equals 49.
3. Multiply by [tex]\(-3\)[/tex]:
Now, multiply the result by [tex]\(-3\)[/tex]. So we have:
[tex]\(-3 \times 49 = -147\)[/tex].
4. Add 25 to the result:
Add 25 to [tex]\(-147\)[/tex]:
[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 correct answer is C) -122.
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