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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 does one solution mean?
One solution means there is only one value or set of values for the variable(s) that satisfies the equation or system of equations. It is the point at which the graph of the equation intersects the x-axis, solving for the variable(s) in the equation.
How can you know the volume from a graph?
To determine the volume from a graph, you would need to calculate the area enclosed by the graph and the axes. If the graph represents a shape with known cross-sectional area, you can integrate the shape's area over the interval represented by the graph to find the volume.
What is Stall or surge margin graph?
A stall or surge margin graph shows the operating limits of a compressor or turbine system. It typically plots pressure ratio or flow rate against surge margin, which is the distance to the surge line. This graph helps engineers ensure that the system operates safely within its design limits to avoid unstable operation.
How do you draw a momentum -time graph for force-time graph?
The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.
How can you find the solution to a system of equatios using a graph?
Graph both and where they cross is the answer to both.
Is the solution of a two-variable system the point on a graph at which the lines cross?
Yes
The solution of a system of equation is?
the solution to a system is where the two lines intersect upon a graph.
How many solutions will a system have if the graph of the solution is intersecting lines?
one solution
How many solutions will a system have if the graph of the solution is intersecting line?
One solution
The graph of a system of equations with the same slope and the same y intercepts will have no solution?
The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis time s?
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
How many solutions will a system have if the graph of the solution is coinciding lines?
no solutions
How many solutions will a system have if the graph of the solution is parallel lines?
No Solutions
What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
Does the graph of a system of equations with different slopes have no solutions?
The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.
How you can obtain the solution to a system of equations by graphing?
In the same coordinate space, i.e. on the same set of axes: -- Graph the first equation. -- Graph the second equation. -- Graph the third equation. . . -- Rinse and repeat for each equation in the system. -- Visually examine the graphs to find the points (2-dimension graph) or lines (3-dimension graph) where all of the individual graphs intersect. Since those points or lines lie on the graph of each individual graph, they are the solution to the entire system of equations.
