The house-numbers on a certain street go from 111 to 888888. The function B(n)B(n)B, left parenthesis, n, right parenthesis models the type of the building whose number is nnn according to the following key: Building type Function output
Residential building 000
Commercial building 111
Government building 222
Other 333
Which number type is more appropriate for the domain of BBB?

y > 1/3x

y < = -x + 4

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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)

d. 145*2 is 290 than the total angle is 360 then minus 290 then divide by two