Answer:
39
Step-by-step explanation:
Yield goes down 1 lb for each tree over 23 per acre, so the yield per tree as a function of x trees per acre is ...
yield per tree = 55 -(x -23) = 78 -x . . . . . pounds of cherries
To get the yield per acre, we multiply the number of trees per acre by the yield per tree:
lb/acre = (x tree/acre)((78 -x) lb/tree) = x(78 -x)
This is a quadratic function that opens downward and has zeros at x=0 and x=78. The vertex (maximum) is on the line of symmetry, halfway between the zeros. The yield per acre will be a maximum when ...
x = (0 +78)/2 = 39 . . . . trees per acre
39 trees should be planted per acre to maximize yield per acre.
Answer:
18
Step-by-step explanation:
180X10=1800
1800/100=18
For B the third line I think is 100
Answer: 12 inches
Step-by-step explanation:
Vol = 1/3 x b x h
240 = 1/3 x b x 15
b = 240/5 = 48 in = area of triangle base
Area = 1/2 x b x h
48 = 1/2 x 8 x h
h = 48/4 = 12 inches
