A mixed number has a part that is whole and a part that is a friction.
For example:
3 1/2 and 3 2/3
3 1/2 * 3 1/4 = 7/2 * 13/4 = 91/8 = 11 3/8
9 < 11 3/8 < 12
1/5 of 70 is 14
70-14 is 56
1/2 of 56 is 28
He has $28 left
The change of base formula looks like this:
log x
(log to the base b of ) x = ----------- (you could also use ln instead of log)
log b
log 40 1.602
Then (log to the base 7 of) 40 = ------------ = ------------- = 1.896 (answer)
log 7 0.8451
check (on calculator): 7^1.896 = 40.023 (close enough to 40 to verify
that this method "worked")
The domain is [0,4], as the x-values go from 0 to 4.
The range is [0,4], as the y-values span from 0 to 4.
The relation is a function
- For a relation to be a function, each x-value can have only one, distinct y-value. This is the case for this relation, as each x-input has only one corresponding y output.