Answer:
The slope of f(x) is -2/2 and the slope of g(x) is 0. When the line it's horizontal and not an increasing or decreasing line, the slope it's always 0. The greatest slope is of the f(x) function because the slope is not equal to 0.
Answer:
lies between 0 and 1.
Step-by-step explanation:
We must have in mind that given average weight of a newborn panda is a non-integer rational number, such that lies between two integer rational number. In other words, this number must satisfy the following condition:
, 
Which is now developed mathematically to deduce a useful expression to find integers:
1) Given
2) 
Modulative property
3) 
Existence of Multiplicative inverse/Definition of division.
4) ![(n\cdot b)\cdot b^{-1} < a\cdot b^{-1}< [(n+1)\cdot b] \cdot b^{-1}](https://tex.z-dn.net/?f=%28n%5Ccdot%20b%29%5Ccdot%20b%5E%7B-1%7D%20%3C%20a%5Ccdot%20b%5E%7B-1%7D%3C%20%5B%28n%2B1%29%5Ccdot%20b%5D%20%5Ccdot%20b%5E%7B-1%7D)
Commutative, Associative and Distributive properties.
5) 
Compatibility with Multiplication/Existence of Multiplicative Inverse/Modulative Property/Result.
If we know that 
and 
, the following inequation is formed:
It is quite evident to conclude that lies between 0 and 1.
For this case, the area is given by:
A = x * (200-2x)
Rewriting:
A = 200x-2x ^ 2
Deriving the expression we have:
A '= 200-4x
Equaling zero we have:
200-4x = 0
We clear x:
4x = 200
x = 200/4
x = 50 feet
Then, the maximum area is:
A (50) = 50 * (200-2 * 50)
A (50) = 5000 feet ^ 2
Answer:
the maximum possible area that can be enclosed with his 200ft of fencing is:
A (50) = 5000 feet ^ 2
