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What determine from the graphs of a system of two equations in two variables?

The graphs of a system of two equations in two variables can determine the solutions to the system. If the graphs intersect at a single point, that point represents the unique solution. If the graphs are parallel and do not intersect, the system has no solution (inconsistent). If the graphs coincide, there are infinitely many solutions (dependent).


How many graphs are there?

Infinitely many. There is a different shaped graph for each function that can exist. Plus there are graphs for non-functional measures. One of my favourites is Minard's graph depicting the losses sustained by Napoleon's army in Russia. See link.


How are line graphs used in real life?

People use line graphs in businesses, and to compare data. Line graphs are mostly used when people are entrepreneurs. They figure out profit this way. Line graphs are also used when a product is made. They decide if they should continue to make this product, by how well the product sells. Line graphs show the change.


How can you tell what the solution is from the graph of a system?

To determine the solution of a system from its graph, look for the point where the graphs of the equations intersect. This intersection point represents the values of the variables that satisfy all equations in the system simultaneously. If the graphs do not intersect, the system may have no solution, indicating that the equations are inconsistent. If the graphs overlap entirely, it suggests that there are infinitely many solutions.


What is the definition of proportional relationships in graphs?

Either a straight line through the origin or a hyperbola.

Related Questions

Can cosine graphs continue infinitely in either direction?

Yes!!!! They are cyclic in nature. The cosine wave goes from negative infinity to positive infinity. It has a Wavelength of 2pi(360 degrees) and ranges from -1 to +1 . Similarly the Sine wave.


What determine from the graphs of a system of two equations in two variables?

The graphs of a system of two equations in two variables can determine the solutions to the system. If the graphs intersect at a single point, that point represents the unique solution. If the graphs are parallel and do not intersect, the system has no solution (inconsistent). If the graphs coincide, there are infinitely many solutions (dependent).


What is a straight continuous arrangement of an infinite number of points?

That would be an infinitely long line. Or just called a line if you are talking about graphs


How many graphs are there?

Infinitely many. There is a different shaped graph for each function that can exist. Plus there are graphs for non-functional measures. One of my favourites is Minard's graph depicting the losses sustained by Napoleon's army in Russia. See link.


What is the sum of all function in any circle graphs?

THere are infinitely many possible functions in any circle graph. Your question needs to be more specific.


How are line graphs used in real life?

People use line graphs in businesses, and to compare data. Line graphs are mostly used when people are entrepreneurs. They figure out profit this way. Line graphs are also used when a product is made. They decide if they should continue to make this product, by how well the product sells. Line graphs show the change.


How can you tell what the solution is from the graph of a system?

To determine the solution of a system from its graph, look for the point where the graphs of the equations intersect. This intersection point represents the values of the variables that satisfy all equations in the system simultaneously. If the graphs do not intersect, the system may have no solution, indicating that the equations are inconsistent. If the graphs overlap entirely, it suggests that there are infinitely many solutions.


What is the first thing to do to solve a math problem?

You should read the problem and any directions, graphs, charts, and data that goes with the problem


How do you interpret the solution of a system of equations by the corresponding graph?

The solution of a system of equations corresponds to the point where the graphs of the equations intersect. If the equations have one unique point of intersection, that point represents the solution of the system. If the graphs are parallel and do not intersect, the system has no solution. If the graphs overlap and coincide, the system has infinitely many solutions.


What kinds of graphs are there?

If you can illustrate numerical information in a pictorial form then that is a graph. So there are infinitely many kinds of graphs. One of my favourites illustrates Napoleon's invasion of Russia and his retreat. See link for more.


What is the definition of proportional relationships in graphs?

Either a straight line through the origin or a hyperbola.


When should you use a line graph to explain collected data?

Line graphs are often more clear to analyze, and are used for continuous data. bar graphs are used for just a certain amount of results, ones that don't continue.