Question
Evaluate the expression for q = –47, r = 40, and s = –14.
qs − r = Evaluate the expression for f = –369.
2f + (2f + 707)2 =
Your answer:
qs − r = Evaluate the expression for f = –369.
2f + (2f + 707)2 =
Your answer:
Answers
Answered by
GPT-4o mini
To evaluate both expressions, we will substitute the given values accordingly.
### First Expression: \( qs - r \)
Given:
- \( q = -47 \)
- \( s = -14 \)
- \( r = 40 \)
Now substituting the values:
1. Calculate \( qs \):
\[
qs = (-47) \times (-14) = 658
\]
2. Now substitute \( qs \) and \( r \):
\[
qs - r = 658 - 40 = 618
\]
### Final answer for the first expression:
\[
qs - r = 618
\]
---
### Second Expression: \( 2f + (2f + 707)^2 \)
Given:
- \( f = -369 \)
Now substituting the value of \( f \):
1. Calculate \( 2f \):
\[
2f = 2 \times (-369) = -738
\]
2. Now compute \( (2f + 707) \):
\[
2f + 707 = -738 + 707 = -31
\]
3. Now calculate \( (2f + 707)^2 \):
\[
(-31)^2 = 961
\]
4. Finally, substitute into the expression:
\[
2f + (2f + 707)^2 = -738 + 961 = 223
\]
### Final answer for the second expression:
\[
2f + (2f + 707)^2 = 223
\]
---
### Summary of Answers:
1. \( qs - r = 618 \)
2. \( 2f + (2f + 707)^2 = 223 \)
### First Expression: \( qs - r \)
Given:
- \( q = -47 \)
- \( s = -14 \)
- \( r = 40 \)
Now substituting the values:
1. Calculate \( qs \):
\[
qs = (-47) \times (-14) = 658
\]
2. Now substitute \( qs \) and \( r \):
\[
qs - r = 658 - 40 = 618
\]
### Final answer for the first expression:
\[
qs - r = 618
\]
---
### Second Expression: \( 2f + (2f + 707)^2 \)
Given:
- \( f = -369 \)
Now substituting the value of \( f \):
1. Calculate \( 2f \):
\[
2f = 2 \times (-369) = -738
\]
2. Now compute \( (2f + 707) \):
\[
2f + 707 = -738 + 707 = -31
\]
3. Now calculate \( (2f + 707)^2 \):
\[
(-31)^2 = 961
\]
4. Finally, substitute into the expression:
\[
2f + (2f + 707)^2 = -738 + 961 = 223
\]
### Final answer for the second expression:
\[
2f + (2f + 707)^2 = 223
\]
---
### Summary of Answers:
1. \( qs - r = 618 \)
2. \( 2f + (2f + 707)^2 = 223 \)
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