7. The United States population is roughly 314 million people (314,000,000). The workforce participation rate, defined as the percent of the population working or looking for work, is 62.8%. The unemployment
rate is the percent of the workforce that is looking for work, but cannot find it.
(a) How many people are working or looking for (b) If the unemployment rate is currently 6.8%,
work in the United States?
then how many people are unemployed to the
nearest hundred thousand.

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)

0

step-by-step explanation:

equals the constant of proportionality.

solve for