Revenue from single-day ticket sales at a local amusement park can be modeled by the function y=-x2+11x+42 and revenue from season pass sales can be modeled by the function y=-5x+81, where x represents the number of months past January and y represents the total revenue in tens of thousands of dollars.

Algebraically, determine after how many months the revenue from single-day ticket sales will equal the revenue from season pass sales. (The first time it occurs)

How much revenue will they have earned at this point in time from single-ticket and season pass sales?

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step-by-step explanation:

the answer is 8/21

hope this

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)

i would say true? if the unit was informational and it "refreshed your understanding", then true.