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
        
             
        
        
        
Answer:
x^2+(y-1)^2=25
Step-by-step explanation:
eqn of circle : (x-h)^2+(y-k)^2=r^2
center of circle = (h,k) 
hence, the center of the current circle is (2,3) 
moving 2 units to the left would make the center (0,1) 
the radius would remain the same (5) , hence the new eqn would be 
(x-0)^2+(y-1)^2=25
x^2+(y-1)^2=25
 
        
             
        
        
        
Answer:
, x ≠ -1/4
Explanation:We are given that:
f (x) = 4x + 1
g(x) = x² - 5
We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:

Now, we should note that any function is undefined if its denominator is equal to zero.
This means that for our current function:
4x + 1 cannot be equal to zero
4x + 1 = 0
4x = -1
x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.
Based on the above, the last option is the correct one.
Hope this helps :)
 
        
             
        
        
        
Answer:
if she uses a 1/4 measuring cup she would need to get 14 1/4 cups of flour
Step-by-step explanation: