Answer:
1. z^2
2. 14z
Step-by-step explanation:
- We know that (a^m)^n = a^(mn) = (a^n) ^m
We also know that (a^m)(a^n) = a^(m+n)
- 36 can be written as 6^2 and here 36^(500) can be written as (6^2)^500 which also can be written as (6^500)^2 and as already it is mentioned that 6^500 as z we can write the above as <u>z^2</u>
2. 8 x 6^500 = 8z
And we can also write 6^(501) as 6^(500+1) which is equivalent to 6(6^500) which is 6z.
From the above we can make sure that the question is the sum of the above which is 8z + 6z = <u>14z</u><u>.</u>
Starting from a parent function
, if you add a constant to the whole function, i.e. you perform the transformation

you shift the graph of the parent function by
units, upwards if
is positive, downwards otherwise.
In this case, so, you're shifting, the graph of
5 units upwards. Since the parent function passes through the point
, because
, the shifted graph mantains the same
coordinate, but the
coordinate is increased by 5, because of the 5 units upwards shift.
Step-by-step explanation:
B. 426 people per square. mile