Scientists conduct an experiment to estimate the red-tailed hawk population in a mid-west region. They place an identifying tag on 60 red- tailed hawks. Several months after their release, researchers investigate 5 samples of 25 red-tailed hawks in the region and record how many
have a tag
Sample Number of Tagged Hawks
1
5
2
7
3
3
4
4
5
6
Based on these results, how many red-tailed hawks should they estimate live in the region?

took the test it's 94

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)

step-by-step explanation: