Which function is represented by the graph?
a) f(x) = 2x + 6

b ) f(x) = - 2x + 6

c)f(x) = 1/2 * x + 6

d ) f(x) = - 1/2 * x + 6

f(x) = -

1

2

x + 6 is correct. Determine the x intercept, set f(x) = 0 and solve for x; -

1

2

x + 6 = 0; x = 12. Determine the y intercept, set x = 0 to find f(0); f(0) = -

1

2

x + 6 = 6. the graph of the function is a line passing through the points (12 , 0) and (0 , 6).

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)