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13 Feb 2020, 07:59
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C
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Difficulty:
45%
(medium)
Question Stats:
68% (02:02) correct
32%
(02:29)
wrong
based on 270
sessions
History
Date
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Not Attempted Yet
Let Z be a function satisfying \(Z(ab) = \frac{Z(a)}{b}\) for all positive real numbers a and b. if Z(500) = 3, then what is the value of Z(600) ?
A. 1
B. 2
C. 5/2
D. 3
E. 18/5
Are You Up For the Challenge: 700 Level Questions
A. 1
B. 2
C. 5/2
D. 3
E. 18/5
Are You Up For the Challenge: 700 Level Questions
13 Feb 2020, 08:53
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\(Z(ab)=\frac{Z(a)}{b}\) (a,b --positive real numbers)
--> \(Z(5*100)= \frac{Z(100)}{5}=3\) --> \(Z(100)= 15\)
\(Z(6*100)= \frac{Z(100)}{6}= \frac{15}{6} = \frac{5}{2}\)
The answer is C.
--> \(Z(5*100)= \frac{Z(100)}{5}=3\) --> \(Z(100)= 15\)
\(Z(6*100)= \frac{Z(100)}{6}= \frac{15}{6} = \frac{5}{2}\)
The answer is C.
13 Feb 2020, 17:58
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Z ( 50*10)=
Z50/10=3
Z=3/5
So, Z(60*10)=
Z60/10=> 3/5*60/10= 18/5
E
Z50/10=3
Z=3/5
So, Z(60*10)=
Z60/10=> 3/5*60/10= 18/5
E
