22. A student concluded that 8x - 12 = solutions. Which statement BEST describes the student's conclusion?
= 4(x - 6) has infinitely many
A. The conclusion is incorrect because the equation has no solution
B. The conclusion is incorrect because there is exactly one solution to the equation.
C. The conclusion is correct because there are exactly two solutions to the equation.
D. The conclusion is correct because when simplified, both sides of the equation are
equivalent.

Step-by-step explanation:

Given equation:

Solve it:

It has one solution

Correct choice is B

Given :-

To Find ;-

Solution :-

Taking the given equation :-

Hence it has only one solution .

Option B is correct

dd

step-by-step explanation:

dd

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)