Simplification of the equation is equal to (x² -24)/ 3x(x+3), restriction on the variables are x ≠0 , x≠ -3.
As given in the question,
Given equation
Simplify the given equation,
x/ 3(x+3) - 8/x(x+3)
= (x² - 24) / 3x(x+3)
Restriction on the variables for the above equation is,
x≠ 0 , x≠ -3
Therefore, simplification of the equation is equal to (x² -24)/ 3x(x+3), restriction on the variables are x ≠0 , x≠ -3.
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Answer:
Option C.
Step-by-step explanation:
It is given that,
Total number of applicants = 9
Number of job = 3
We need to select 3 applicants out of 9. So, the required number of ways is
Therefore, there are ways the positions can be filled because the order in which the applicants are chosen matters.
Hence, the correct option is C.
Answer:
.
Step-by-step explanation:
The direct variation is defined as
where, k is constant of proportionality.
It is given that a direct variation function contains the points (-8,-6) and (12, 9).
Substitute x=-8 and y=-6 in the above equation.
Divide both sides by -8.
The value of constant of proportionality is . So, the required equation is
At x=12,
It means, the line passing through (12,9). Hence, the equation is correct.
Therefore, the equation of the function is .