For this case we must find an expression equivalent to:
So:
We expanded 
by moving 2 out of the logarithm:
By definition of logarithm properties we have to:
The logarithm of a product is equal to the sum of the logarithms of each factor:
The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.
Then, rewriting the expression:
We apply distributive property:
Answer:
An equivalent expression is:
In this relation we have two ordered pairs:
( 5, 7 ) and ( 5, 8 )
For x = 5 : f ( x ) = 7 and also for x = 5, f ( x ) = 8. This is not possible for a function.
Answer:
b ) No. The relation is not a function.
A repeating decimal is when the number repeat or go on forever and do not change
a terminating decimal is one that has an end to it's numbers
example of repeating: .303030303030303.....
example of terminating: .2427
First we find the mean (average)
(17 + 18 + 19 + 20 + 21) / 5 = 95/5 = 19
now subtract 19 from all values...then square it
17 - 19 = -2...-2^2 = 4
18 - 19 = -1...-1^2 = 1
19 - 19 = 0...0^2 = 0
20 - 19 = 1....1^2 = 1
21 - 19 = 2...2^2 = 4
now take the mean (average) of those
(4 + 1 + 0 + 1 + 4) / 5 = 10/5 = 2 <== this is ur variance
standard deviation is the square root of the variance...
sq rt 2 = 1.414
