Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentiation:
A = x^2 + 9x - 36. This factors into A = (x + 12)(x - 3). We can assume that the length of the parallelogram is x + 12 and that the width is x - 3.
Note that if x = 3 the area becomes zero. So: x must be greater than 3, so that the (x - 3) factor is positive.
Example: If x = 4, then the dimensions of the parallelogram are 4 + 12, or 16, and 4 - 3, or 1.
We are asked to find z = g0f or what is the same:
z = g (f (x))
That is, we must introduce the function f (x) within the function g (x)
So, we have
f (x) = 3x-9
g (x) = x ²
Therefore we have the following function
z = (3x-9) ²
Finally (g0f) (5) = (3 (5) -9) ²
(g0f) (5) = 36
Answer:
80 ÷ 16 = 5
Step-by-step explanation:
The "family facts" seem to be related to the relationship ...
5 × 16 = 80
One of the facts is generated from this one by reversing the order of the factors:
16 × 5 = 80
The other two are found by dividing the equation by one or the other of the factors:
16 = 80/5 . . . . . divide by 5
5 = 80/16 . . . . . divide by 16
This last one is the one that is missing. It the form used in the problem statement, it is ...
80 : 16 = 5
