Suppose you have 74 feet of fencing to enclose a rectangular dog pen. the function a=37x-x2, where x = width, gives you the area of the dog pen in square feet. what width gives you the maximum area? what is the maximum area? round to the nearest tenth as necessary

The function is that of a parabola. You can tell because it has the;
Standard form: ax² + bx + c
Given equation: -x² + 37x + 0

Since the "a" coefficient is negative, the parabola is flipped upside down making the maximum point the vertex.

Vertex = (-b/2a, y)
-b/2a = -37/(-1*2) = 37/2 = 18.5
This is the x-value, width which gives the maximum area

put in x = 18.5 and solve for maximum area, A.
A = -(18.5)² + 37(18.5)
A = -342.25 + 684.5
A = 342.25
round to nearest tenth
A = 342.3

The year before the 10s so it was like when caveman were alive

Gggģcawrygr3ezt9d hu and the other countries have been working to make it easier to box up their homes in an area where the government has not yet decided which countries will have the option of the government