f(x) = log2 x
f(40) = log2 40
40 = 2^y
2^5 = 32 and 2^6 = 64
so f(40) lies between integers 5 and 6.
Given that y varies directly with x in the above table, if the value of x is 5, the value of y is 15.
<h3>How to calculate direct variation?</h3>
According to this question, a 2-column table with 5 rows is given.
- Column 1 is labeled x with entries 1, 3, 6, 9, 12
- Column 2 is labeled y with entries 3, 9, 18, 27, 36
If y varies directly with x, the mathematical representation is as follows:
y = kx
Since y = 3, when x = 1
3 = k × 1
k = 3
The relationship between x and y is as follows: y = 3x
Therefore, if the value of x is 5, the value of y = 3 × 5 = 15.
Learn more about direct variation at: brainly.com/question/14254277
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I thought it said 21 pilots at first
Suppose
is even, i.e. there is some integer
such that
. Then
where
is just some other integer. Therefore
is odd, proving the contrapositive, and so the original statement is also true.
