As long as you believe in yourself, you can do anything.
Each person will get 9 flowers, and you will have 1 flower left over. 9x3=27
An important rule of logs is a*log b = log b^a.
Thus, 2 (log to the base 5 of )(5x^3) = (log to the base 5 of ) (5x^3)^2, or
(log to the base 5 of ) (25x^6).
Next, (1/3) (log to the base 5 of ) (x^2+6) = (log to the base 5 of ) (x^2+6)^(1/3).
Here, the addition in the middle of the given expression indicates multiplication:
2Log5(5x^3)+1/3log5(x^2+6) = (log to the base 5 of ) { (5x^3)^2 * (x^2+6)^(1/3) }.
Here we've expressed the given log quantity as a single log.
Find the average of all the tests on the first and second test. You find the average by adding up all the test scores and dividing it by the number of test scores you added. Then you can see if she did better than the overal average on each of the tests
3) Altitude / Time = y2 - y1 / x2 - x1 = 30 - 60 / 6 - 3
m = -30 / 3
m = -10
In short, constant rate of change is y = -10x
b) Constant proportionality exists between two quantities, as the amount of changing in Altitude over fixed period of time is same (constant) for every instance.
4) Sales / Day = y2-y1 / x2-x1 = 2,000 - 1,000 / 6 - 3
m = 1000 / 3
m = 333.3
a) In short, Constant relationship is y = 333.3x
b) Constant proportionality exists between two quantities, as the amount of changing in Sales over fixed days is same (constant) for every instance.
Hope this helps!