George has a part-time job which pays $10 per hour. He has already saved $94 toward the purchase of a new car stereo which costs $194. If x represents the number of hours he still needs to work in order to buy the stereo, which of the inequalities
symbolizes this situation?
OA $10x + $94 $194
OB. $94x + $ 10 $194
OC $94x + $10 < $194
OD. $10x + $94 s $194

Step-by-step explanation:

Given

Wage = $10 per hour

Savings = $94

Stereo = $194

Required

Represent the scenario using an inequality

From the question, x represents the number of hours.

If his wage is $10 per hour then, his wage is $10x in x hours

Solving further;

For George to afford the stereo, the sum of his wages and savings must be greater than or equal to the cost of the stereo

Mathematically, this is:

Substitute right values for the above expression

The options are not well presented, hwever the solution is

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.