Mike can run a mile in 6 minutes, and Dan can run the same mile in 9 minutes. If Mike gives Dan a head start of 1 minute, how far from the starting line will Mike pass Dan? What amount of time does it take Mike to catch Dan?
Two cars enter interstate 10 west at Siegen Lane at 8:00am, each heading for Texas. One car's average speed is 10 mph more than the other's. the faster car arrives in Beaumont at 11:00am, a half hour before the other. what was the average speed of each car and how far did they travel?
A long-distance runner started on a course at an average speed of 8 mph. Half an hour later, a second runner began the same course at an average speed of 10 mph. How long after the second runner starts will the second runner overtake the first runner?
The domain of a function is one of the most interesting topics in Algebra that many students are confused of. It is always partnered with the "range" of the function.
Domain, simply put, is the set of all permissible values of X while the range are the permissible values of Y.
The process is actually looking for EXCEPTIONS in the possible values of X; which means, the domain of a function is the SET of ALL REAL numbers EXCEPT for the non-permissible values. Domain notation may vary on how the topic is tought, but the logic is the same.
When solving systems of linear equations, you can use methods like elimination method to computer solutions to the linear system. Here is a youtube video from patrickJMT using elimination method to determine a system with infinitely many solutions. These systems are called "dependent" systems.