Evaluate b(x)=18-0.5x when x= -2,0, and 5.

19, 18, 15.5

Step-by-step explanation:

b(-2) =

18 - 0.5(-2)

18 - (-1)

b(x) = 19

b(0) =

18 - 0.5(0)

18 - 0 =

b(x) = 18

b(5) =

18 - 0.5(5)

18 - 2.5

b(x) = 15.5

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)