Answer:
10x+15
Step-by-step explanation:
area of the two rectangles combined is one big rectangle
area of rectange= base*height
base length: 2x+3
height: 5
(2x+3)*5
=(2x*5)+(3*5)
=10x+15
Yes you have the right idea. You find the derivative to get the velocity function and then determine when the velocity is zero. That turns out to be at t = 2 and t = 6. Both are correct. The final answer is correct.
The only flaw I see is that you wrote
x'(t) = 3y^3 - 24t + 36
on line 2 when it should be
x'(t) = 3t^2 - 24t + 36
Other than that it looks perfect.
Put this into ratio form:
20 baskets/ 4 minutes.
This means for every 4 minutes, you can make 20 baskets.
Now solve for 1 minute...how many baskets can you make in one minute.
You can solve this in many ways:
1. Cross Multiply:
20/4 = x/1...20×1= 20 ÷ 4= 5 baskets per minute
2. Simplify- (simpler way to solve)
20 baskets ÷ 4 minutes= 5 baskets in 1 minute
3. Critical Thinking:
how many times can 4 go into 20? 5 times. So there are:
5 baskets per minute
Answer: option C
find f(x) - g(x)
f(x)= 
g(x) = 
To find f(x) - g(x) we plug in the functions and subtract
Remove the parenthesis and change the sign of each term
Combine like terms
So option C is correct
I think it’s either a or c I’m not sure but I’m going for c please lmk if I’m wrong
