Answer:
to solve the equation, you must multiply both sides by 4 to remove the fraction and get n by itself. so it'll be
n = -48
V = Length x Width x Height = 288
If we call the width w
then length = 3w
And height = 288/(3w x w)
Assuming none of the material used overlaps the box will need 6 faces ( top, bottom, 2 ends and 2 sides)
Area of material = 2 x LW + 2 x HW + 2 x HL
= 2(3w x w + 288/(3w x w) x w + 288/(3w x w) x 3w)
= 2(3w^2 + 288/3w + 288/w)
= 2(3w^2 + 96/w + 288/w)
= 2(3w^2 + 384/w)
= 6w^2 + 768/w
Taking the derivative in terms of w
A’ = 12w - 768/w^2
A’ is zero when 12w = 768/w^2
w^3 = 768/12 = 64
w = cube root of 64 = 4
This makes the box with the minimum materials 12 x 4 x 6
So the length that uses the minimum material is 12 inches
Answer:
C.
Step-by-step explanation:
12x^3 - 4x^5 - 2x
u have 3 terms....(12x^3) and (-4x^5) and (-2x).....making this a trinomial
the degree of this trinomial , being as it only has 1 variable, is the highest exponent.....and that would be ^5
so this is a 5th degree trinomial