
Finding the extreme point :

Now,
f''( x ) at x = 1/3 and -1 is :

Therefore, it is maximum at x = -1 and minimum at x = 1/3 .
Hence, this is the required solution.
Answer:
all work is pictured and shown
Answer:
x = 44 and y = 4
Step-by-step explanation:
Given:
x - y = 40
2x + 3y = 100
Isolate for x in the first equation:
x = 40 + y
Sub x = 40 + y into the second equation and solve for y:
2(40 + y) + 3y = 100
80 + 2y + 3y = 100
5y = 20
y = 4
Sub y = 4 into the equation for x:
x = 40 + 4
x = 44
Therefore, x = 44 and y = 4
Answer:
He had 51 before his purchases
Step-by-step explanation: