Afarmer will build a rectangular pen for some goats. a wall will form one side of the pen. the farmer has 36 m of fencing to form the other three sides. the farmer plans to build the pen so that it has its maximum possible area. what will be the dimensions of the farmer’s goat pen? by

The maximum area is obtained when half the fence (18 m) is used parallel to the wall. Then the remaining half of the fence forms the other two (equal, 9 m) sides.

The dimensions of the pen will be 9 m by 18 m.

_____

If x represents the width of the pen (two sides out from the wall), then the area is

... area = x·(36 -2x) = 2x(18 -x)

This expression describes a parabola that opens downward and has zeros at x=0 and x=18. The line of symmetry (and vertex) is halfway between these zeros, at x=9. Hence the width of the pen is 9 m and its length is 36-2·9 = 18 m.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

answer: what in the world is this

step-by-step explanation: