A box without a top is to be made to hold copious bags of candy. It is made from a rectangular piece of cardboard, with dimensions: width choose a number between 1.5 ft and 3.5 ft and length choose a number between 4 ft and 6ft , by cutting out square corners with side length x and folding up the sides.(a) Write an equation for the volume V of the box in terms of x. (b) Use Desmos to graph and estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process. Post a snapshot of your graph with your work.(c) Explain what the x- and y-coordinates represent in your equation.

answer: a) 56% women

b)44% men

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

b

step-by-step explanation:

yeah i know the problem you need. i am taking it right now. the answer is step 3

~mickey