What is the value of x in the equation (x + 12) = (startfraction 2 over 3 endfraction left-parenthesis startfraction one-half endfraction. x plus 12 right-parenthesis equals left-parenthesis startfraction one-half endfraction left-parenthesis startfraction one-third endfraction x plus 14 right-parenthesis minus 3.x + 14) – 3?

the circle one

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

the first option is the answer.