Carlotta handpaints T-shirts and sells them to her friends. She uses the equations below to determine her costs to produce shirts and the amount of money earned when she sells the shirts. Production Cost: c = 28 + 3 s, where c is the total cost and s is the number of shirts
Money Earned: m = 10 s, where m is the amount of money earned from sales and s is the number of shirts

How many shirts must Carlotta sell to make a profit?
2
3
4
5

the answer is d. 75%

what are you trying to solve here

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)