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Answer :
Let's find the value of the expression [tex]\(-3b^2 + 25\)[/tex] when [tex]\(b\)[/tex] is 7. We'll go through this step by step:
1. Plug in the value of [tex]\(b\)[/tex]:
- Start by replacing [tex]\(b\)[/tex] with 7 in the expression: [tex]\(-3(7^2) + 25\)[/tex].
2. Calculate the square of 7:
- [tex]\(7^2\)[/tex] means 7 multiplied by 7, which equals 49.
3. Multiply by -3:
- Now take 49 and multiply it by -3: [tex]\(-3 \times 49 = -147\)[/tex].
4. Add 25:
- Finally, add 25 to -147: [tex]\(-147 + 25 = -122\)[/tex].
So, when [tex]\(b = 7\)[/tex], the value of the expression [tex]\(-3b^2 + 25\)[/tex] is [tex]\(-122\)[/tex]. Therefore, the correct answer is option C: -122.
1. Plug in the value of [tex]\(b\)[/tex]:
- Start by replacing [tex]\(b\)[/tex] with 7 in the expression: [tex]\(-3(7^2) + 25\)[/tex].
2. Calculate the square of 7:
- [tex]\(7^2\)[/tex] means 7 multiplied by 7, which equals 49.
3. Multiply by -3:
- Now take 49 and multiply it by -3: [tex]\(-3 \times 49 = -147\)[/tex].
4. Add 25:
- Finally, add 25 to -147: [tex]\(-147 + 25 = -122\)[/tex].
So, when [tex]\(b = 7\)[/tex], the value of the expression [tex]\(-3b^2 + 25\)[/tex] is [tex]\(-122\)[/tex]. Therefore, the correct answer is option C: -122.
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