Answer:
(f * g)(x) has a final product of 16x² + 8x.
Step-by-step explanation:
When you see (f * g)(x), this means that we are going to be multiply f(x) and g(x) together.
<em>f(x)=8x</em>
<em>g(x)=2x+1</em>
Now, we multiply these terms together.
(8x)(2x + 1)
Use the foil method to multiply.
16x² + 8x
So, the product of these terms is 16x² + 8x.
Year New flowers
1 1200
2 300
3 75
There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year
Initially there are 1200 flowers and start decreasing by 
So first term is 1200 and common ratio is
.
Its a geometric sequence so summation becomes
i =1∑ ∞ 1200(
Now we find the sum
We use sum formula

Where a is the first term , a= 1200
r is the common ratio , r= 1/4


Sum = 1600 wildflowers
Answer:
Function 1:
The starting point is (0,0.5)
As x increases, y increases
Function 2:
The starting point is (0,3)
As x increases, y decreases
Step-by-step explanation:
In order to find the starting point, we need to plug in x=0.


As we plug in increasing numbers into function#1, the y-value increases
As we plug in increasing numbers into function #2, the y-value is decreasing
A•a^7 = a^8 (add the power (n=1+7=8))