Mike is a veterinarian. He is placing a nine-line job ad for an assistant. The following piecewise function gives the price of an x-line ad. a(x) = 45 when I <3
= 45 + 9(x – 3) when I > 3
a. The difference between the cost of a two-line ad and the cost of a 3-line ad is
b
The cost of a 10-line ad is $
c
The cost of an 11-line ad is
d. Can you find the difference between the cost of a 15-line ad and a 17-line ad, without finding out the cost of each ad first?
Word Bank:

12.5 feet

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)

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

leave feedback if u need : )