Answer:
Part A: [0,2], Part B: [2, 4], Part C: [8,10], Part D: 0 ft
Step-by-step explanation:
Part A: The time between 0 seconds to 2 seconds is the time when it's increasing. There is no other time like that.
Part B: The graph shows a straight line so therefore it is staying the same.
Part C: The graph shows a sharp decline.
Part D: Starting from the 10th second, the balloon already hit to ground so it would only make sense for it to stay there...
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The area of the rectangular pen is 
The cost of material used to make one side is 
The cost of material used to make the other sides is 
Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard
So the cost is mathematically represented as

=> 
=> 
Now the area of the fence is mathematically represented as

=> 
=> ![C = 9x + 6[\frac{24}{x} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209x%20%20%2B%20%206%5B%5Cfrac%7B24%7D%7Bx%7D%20%5D)
=> ![C = 9x + [\frac{144}{x} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209x%20%20%2B%20%20%5B%5Cfrac%7B144%7D%7Bx%7D%20%5D)
Now differentiating


At minimum 
So




Now substituting for x in the equation above to obtain minimum cost
![C = 9(5.66) + [\frac{144}{5.66} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209%285.66%29%20%20%2B%20%20%5B%5Cfrac%7B144%7D%7B5.66%7D%20%5D)

Find the GCF (Greatest Common Factor)
GCF = 3
Factor out the GCF ( Write the GCF first. Then, in parentheses, divide each term by the GCF)
3(3x^2/3 + -12x/3 - 15/3)
Simplify each term in parentheses
3(x^2 - 4x - 5)
Factor x^2 - 4x - 5
<u>3(x - 5)(x + 1)</u>
well, you can multiply the values to where they are equivalent, so multiply 2/3 by 4 ( both numbers ) so you get 8/12 and 3/12, so, just in case you want POST added, the answer to 2/3 ( 8/12 ) + 3/12 = is 11/12!
Hope this helps, if not, comment below please!!!
Answer:
BF
BA
AG
Step-by-step explanation: