Material=wall+2*side and material is 40 ft so:
40=w+2s
w=40-2s
Area=ws, using w from above we get:
A=(40-2s)s
A=40s-2s^2
dA/ds=40-4s and d2A/ds2=-4
Since d2A/ds2 is a constant negative acceleration, when dA/ds=0, A(s) is at an absolute maximum.
dA/ds=0 when 4s=40, s=10 ft
And since w=40-2s, w=20 ft
So the dimensions of the pen are 20 ft by 10 ft, with the 20 ft side being opposite the wall. And the maximum possible area is thus 200 ft^2
For the pair of functions, find the indicated sum, difference, product, or quotient.
f(x) = 6 - 7x, g(x) = -3x + 7
Find (f + g)(x).
Answer:
Emily: 13, Peter: 9, Joshua: 18
Step-by-step explanation:
Emily = x
Peter = Emily - 4 = x - 4
Joshua = 2(Peter) = 2(x - 4)
Total = 40 = Emily + Peter + Joshua = (x) + (x - 4) + 2(x - 4)
40 = 2x - 4 + 2x -8
40 = 4x - 4 - 8
40 = 4x - 12
52 = 4x
x = 13
Emily = 13
Peter = 13 - 4 = 9
Joshua = 2(13 - 4) = 2(9) = 18
13 + 9 +18 = 40
Answer:
4.68
Step-by-step explanation:
