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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.
Where on on a solubility graph a saturated solution occurs when the amount of solute dissolved at a given temperature is below the line?
A saturated solution occurs when the amount of solute dissolved at a given temperature is exactly on the solubility line of the graph. If the amount of solute is below this line, the solution is unsaturated, meaning it can still dissolve more solute. Conversely, if the solute amount is above the line, the solution is supersaturated. Therefore, only points on the line represent saturation.
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 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.
What does the point of intersection mean on graph of a system equation?
The point of intersection on the graph of a system of equations represents the solution to the system, indicating the values of the variables that satisfy all equations simultaneously. In a two-variable system, it shows where the two lines (or curves) cross, meaning both equations yield the same output for those specific input values. If the lines intersect at a single point, there is one unique solution; if they coincide, there are infinitely many solutions; and if they are parallel, there is no solution.
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.
