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If a#b = and a@b = 3a – 2b, what is the value of 1@2 – 3#4?
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27 Jul 2018, 07:13
27 Jul 2018, 07:13
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Expert Reply
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Question Stats:
89% (00:54) correct
10% (01:05) wrong based on 28 sessions
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If \(a \sharp b = \frac{1}{2a-3b}\) and \(a@b = 3a – 2b\), what is the value of \(1@2 - 3 \sharp 4\)?
(A) \(\frac{-7}{6}\)
(B) –1
(C) \(\frac{-5}{6}\)
(D) \(\frac{2}{3}\)
(E) \(\frac{7}{6}\)
(A) \(\frac{-7}{6}\)
(B) –1
(C) \(\frac{-5}{6}\)
(D) \(\frac{2}{3}\)
(E) \(\frac{7}{6}\)
Re: If a#b = and a@b = 3a – 2b, what is the value of 1@2 – 3#4?
[#permalink]
12 Aug 2018, 05:29
12 Aug 2018, 05:29
Expert Reply
Explanation
This problem defines functions for the made-up symbols # and @. Substitute a = 1 and b = 2 into the function for a@b: 3(1) – 2(2) = –1. Substitute a = 3 and b = 4 into the function for a#b: \(\frac{1}{2(3)-3(4)}=\frac{1}{-6}\).
Now, subtract: \((-1) - \frac{1}{-6}= -1 + \frac{1}{6}= \frac{-5}{6}\).
This problem defines functions for the made-up symbols # and @. Substitute a = 1 and b = 2 into the function for a@b: 3(1) – 2(2) = –1. Substitute a = 3 and b = 4 into the function for a#b: \(\frac{1}{2(3)-3(4)}=\frac{1}{-6}\).
Now, subtract: \((-1) - \frac{1}{-6}= -1 + \frac{1}{6}= \frac{-5}{6}\).
gmatclubot
Re: If a#b = and a@b = 3a – 2b, what is the value of 1@2 – 3#4? [#permalink]
12 Aug 2018, 05:29
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