Answer:
3 x (3 x - 5) (3 x + 5)
Step-by-step explanation:
Factor the following:
27 x^3 - 75 x
Factor 3 x out of 27 x^3 - 75 x:
3 x (9 x^2 - 25)
9 x^2 - 25 = (3 x)^2 - 5^2:
3 x (3 x)^2 - 5^2
Factor the difference of two squares. (3 x)^2 - 5^2 = (3 x - 5) (3 x + 5):
Answer: 3 x (3 x - 5) (3 x + 5)
Solve using system of equations!
Let y=total amount of money and x=hours of overtime.
mall: y=400+15x
movies: y=360+20x
Solve! Set the equations equal to each other to find x.
400+15x=360+20x
40=5x
x=8
After 8 hours of overtime the movies would pay her more.
If you are working with time or days, you can't put in a negative value because if you are doing an experiment, you can't go back in time to do that experiment to gather data. (Time for the most part considered to be an input value so that's why I used it as an example.)
