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If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3
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30 Jul 2018, 09:49
30 Jul 2018, 09:49
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Question Stats:
75% (00:48) correct
24% (02:44) wrong based on 29 sessions
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Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3
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31 Jul 2018, 14:20
31 Jul 2018, 14:20
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Expert Reply
Explanation
Plug m and n into the function in place of a and b. If f(m, n) = 5, then:
\(m^2n^4 = 5\)
This cannot be further simplified, so continue to the second part of the problem: plug \(3m\) and \(2n\) into the function for a and b:
\(f(3m, 2n) = (3m)^2(2n)^4 = 9m^2 16n^4 = 144m^2n^4\)
Since \(m^2n^4 = 5\), \(144m^2n^4 = 144(5) = 720\).
Plug m and n into the function in place of a and b. If f(m, n) = 5, then:
\(m^2n^4 = 5\)
This cannot be further simplified, so continue to the second part of the problem: plug \(3m\) and \(2n\) into the function for a and b:
\(f(3m, 2n) = (3m)^2(2n)^4 = 9m^2 16n^4 = 144m^2n^4\)
Since \(m^2n^4 = 5\), \(144m^2n^4 = 144(5) = 720\).
Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3
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19 Dec 2023, 12:30
19 Dec 2023, 12:30
1
f(m, n) = m^2 n^4
f(m, n) = 5
m^2 n^4 = 5
f(3m, 2n) = 9m^2 * 16 n^4 =144 * 5 = 720
f(m, n) = 5
m^2 n^4 = 5
f(3m, 2n) = 9m^2 * 16 n^4 =144 * 5 = 720
