23) jill has a hot tub that holds 1,260 gallons of water. she needs to drain the hot tub, so that it can be moved to a new location in her backyard. if draining the hot tub is modeled by the equation y = - 793 2 x + 1,260, how long will it take to drain the hot tub? a) 2 hours 48 minutes b) 2 hours 59 minutes c) 3 hours 11 minutes d) 3 hours 22 minutes
exam

x

step-by-step explanation:

sorry man i accidentally pressed yes my bad

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)