Answer:
For maximum volume the dimension should be;
w= 1.5ft , b=3ft and h= 2ft
Step-by-step explanation:
The surface area of the rectangular box
S = 2wb + 2wh + 2bh = 27ft^2 ......1
Given that b = 2w
Substituting into eqn 1
2w(2w) + 2wh + 2h(2w) = 27
4w^2 + 2wh + 4hw = 27
h(6w) = 27 - 4w^2
h = (27 - 4w^2)/6w .......2
The volume of a rectangular box is given as
V=w×b×h
V= w×2w×h = 2hw^2 ....3
Substituting eqn2 into eqn3
V=2w^2(27-4w^2)/6w
V = w(27-4w^2)/3 = (27w-4w^3)/3
To find the maximum point, we need to differentiate the eqn above.
At maximum dV/dw = 0
dV/dw = (27 - 12w^2)/3 = 0
12w^2 = 27
w^2 = 9/4
w = 3/2ft = 1.5ft
b = 2w = 6/2 = 3ft
h = (27 - 4w^2)/6w
h = (27 - 4(3/2)^2)/6(3/2)
h = ( 27 - 9)/6 = 18/9
h = 2ft
14x-3x= 11x and the 17 stays the same, so the answer is 11x/17 or answer B.
Answer:
-11 x 2 = -22
-22 + 9 = -14
-14 is less then -13
Step-by-step explanation:
Answer:
y = 3x -5
Step-by-step explanation:
Use the slope-intercept form:
y = (slope)x + intercept
slope = 3
intercept = -5
Equation in slope-intercept form:
y = 3x -5
For the 3 you multiply the equations of f(x) and g(x) by each other and you do that by foiling then you combine like terms. After that the terms A, B,C D, and E are in the answer which is...