The equation of the graphed line is 2x – 3y = 12. A coordinate plane with a line passing through (0, negative 4) and (6, 0).
What is the x-intercept of the graph?

–4
–Negative StartFraction 3 Over 2 EndFraction
StartFraction 2 Over 3 EndFraction
6

the x intercept is 6

Step-by-step explanation:

hope this helps :)

30005

yes ok                                            

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)