Read the quote, and then answer the question. Which of the following best summarizes what Sullivan is saying here?

The United States is destined to take over the world.

The United States is destined to take over all the land connecting the two coasts of North America.

The United States is destined to spread beyond North America.
Our manifest destiny [is] to overspread and to possess the whole of the continent.

–John L. O’Sullivan,
1845Solve the equation for x. 2 3 x −1 9 x + 5 = 20 x =

x = 5/16

Step-by-step explanation:

2 3 x −1 9 x + 5 = 20 x

x = 5/16

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

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)