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Sometimes. Not always.

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โˆ™ 2012-07-15 18:43:59
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Does the graph of a system of equations intersect at more than 1 point?
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The graph of a system of equations with the same slope will have no solutions?

That's right. If a system of equations has a solution, then their graphs intersect, and the point where they intersect is the solution, because it's the point that satisfies each equation in the system. Straight-line graphs with the same slope are parallel lines, and they never intersect, which is another way of saying they have no solution.


What is the point at which the lines intersect in a system of linear equations?

The coordinates of the point of intersection represents the solution to the linear equations.


When solving a system of equations by graphing how is the solution found?

The solution is the coordinates of the point where the graphs of the equations intersect.


How many solutions will a system of equations have if the graphs of the lines intersect?

A system of equations will have one solution if the graphs of the lines intersect. This is because the lines intersect at a single point. Let's say that point is (a, b). The x = a, y = b is the one and only solution for the system.


Will the graph of a system of parallel lines intersect at exactly 1 point?

Parallel lines don't intersect, no matter how many of them there are.


If there is no solution to a system of equations it means?

extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.


What does a single solution to a system of equations mean?

It represents the point of intersection on a graph.


What system of equations has no solution?

A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.


How the solution of a linear system with two equations is represented by the point where the graphs of the two equation intersect?

The first graph consists of all points whose coordinates satisfy the first equation.The second graph consists of all points whose coordinates satisfy the second equation.The point of intersection lies on both lines so the coordinates of that poin must satisfy both equations.


What is a solution to a system of equations graphically?

Graphically, it is the point of intersection where the lines (in a linear system) intersect. If you have 2 equations and two unknowns, then you have a 2 lines in a plane. The (x,y) coordinates of the point where the 2 lines intersect represent the values which satisfies both equations. If there are 3 equations and 3 unknowns, then you have lines in 3 dimensional space. If all 3 lines intersect at a point then there is a solution to the system. With more than 3 variables, it is difficult to visualize more dimensions, though.


What do you call the graphs that intersect at exactly one point which gives solution of the system?

They are straight line graphs that work out the solutions of 2 equations or simultaneous equations


How we solve equations of motion by graph?

One can solve equations of motion by graph by taking readings of the point of interception.

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