f(x)g(x) = 9x² + 10x - 16
<u>Step-by-step explanation:</u>
Step 1:
Given f(x) = 3x - 4 × 2 + 6x and g(x) = 5x + 2 × 2 - 3x
f(x) = 9x - 8
g(x) = 2x + 4
f(x)g(x) = (9x - 8)(2x + 4)
= 18x² + 36x - 16x -32
= 18x² + 20x - 32
= 9x² + 10x - 16
So we need to find the sum of the first 5 terms.
You have told me that the first term is 10 meters, and that r = 0.5 per term.
With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).
Plugging in the terms that we know...
s₅=10((1-0.5⁵)/(1-0.5))
s₅=10(0.96875/0.5)
s₅=10(1.9375)
s₅=19.375
With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.
Answer:
True
Step-by-step explanation:
First, we need to recognize that
Now, we can try to solve
Multiply each side by 
As we end up with an answer that cannot be true, we know that there is no solution.
Another method to solve this would be graphing the function 
When graphed, it can be seen that there is an asymptote at x=0 meaning that there is no value for x=0.
Step-by-step explanation:
<u>Given functions:</u>
<u>Find (f*g)(6):</u>
- (f*g)(6) = f(6)*g(6) = 6(6 - 1)*3(6) = 30*18 = 540
<u>In case it is a composite function (f · g)(6) the answer is different:</u>
- (f · g)(6) = f(g(6)) = f(3*6) = f(18) = 18*(18 - 1) = 306
2 x 1/4 is the same as 1/4 + 1/4
