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r=7 and s=-7
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30 Jul 2021, 07:03
30 Jul 2021, 07:03
Expert Reply
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Question Stats:
96% (00:44) correct
3% (00:42) wrong based on 26 sessions
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\(r=7\) and \(s=-7\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(2r-2s+r^2\) |
\(2s-2r+s^2\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: r=7 and s=-7
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30 Jul 2021, 10:15
30 Jul 2021, 10:15
1
Carcass wrote:
\(r=7\) and \(s=-7\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(2r-2s+r^2\) |
\(2s-2r+s^2\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Col. A: \(2r-2s+r^2\)
Col. B: \(2s-2r+s^2\)
Adding \(2r\) and \(2s\) to both sides;
Col. A: \(2r + 2r -2s + 2s + r^2\)
Col. B: \(2s + 2s -2r +2r + s^2\)
Col. A: \(4r + r^2\)
Col. B: \(4s + s^2\)
Col. A: \(r(4 + r)\)
Col. B: \(s(4 + s)\)
Col. A: \(7(11)\)
Col. B: \(-7(-3)\)
Col. A: \(77\)
Col. B: \(21\)
Hence, option A
General Discussion
Re: r=7 and s=-7
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30 Jul 2021, 10:04
30 Jul 2021, 10:04
r = 7 and s = -7
QA:
2r - 2s + r ^2 = 2(r-s) +r^2 = 2(14) + (7)^2 = 28 + 49
Qb:
2s-2r+s^2=2(s-r)+s^2 = 2(-14) + (-7)^2 = -28 + 49
QA>QB
option(A)
QA:
2r - 2s + r ^2 = 2(r-s) +r^2 = 2(14) + (7)^2 = 28 + 49
Qb:
2s-2r+s^2=2(s-r)+s^2 = 2(-14) + (-7)^2 = -28 + 49
QA>QB
option(A)
