Answer:
Step-by-step explanation:
Volume = 198 ft
length * width * height = 198
(x - 1) * (x + 4) * 3 = 198
(x - 1) * (x + 4) = 198/3
(x - 1) * (x + 4) = 66
x*x + x*4 -1*x - 1*4 = 66 {Use FOIL method to multiply}
x² + 4x - x - 4 = 66
x² + 3x - 4 =66
x² + 3x - 4 - 66 = 0
x² + 3x - 70 = 0
Now factorize.
x² + 10x - 7x - 7*10 = 0
x(x +10) - 7(x + 10 ) = 0
(x + 10)(x - 7) = 0
x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}
x = 7
length = x - 1 = 7 - 1 = 6ft
Width = x + 4 = 7 + 4 = 11 ft
Answer:
The concept which best describes the change of the population is the derivative of 
.
Step-by-step explanation:
Observe that the function describes the amount of rabbits at the time t (in years) but no the rate of change of the population at a given instant. So you have to use the derivative of 
to obtain that rate of change at any instant. For example, if we derivate the function we obtain:
And if we want to find the rate of change at 
years we evaluate
rabbits/year
Answer:
18
Step-by-step explanation:
Well, if that is a comma in the number, it is already rounded. If the comma is supposed to be a decimal, the answer would be $57.
