A new cars salesperson, sold an average of $49,483 per day for the first 1 days she worked. The next 10 days she worked, she sold an average of $61,371. How much did she sell on average per day over the entire time she worked??

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)

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1

its four gallons, i took the test and this was right.

step-by-step explanation:

on the dot where it starts for four gallons, that's when it doesn't move up any more.