In the ordered pair (20, 140), the first value, 20, typically represents the independent variable or the input of a function, while the second value, 140, represents the dependent variable or the output. In a specific context, such as a graph or data set, these values could signify measurements, such as time and distance, or any other two correlated variables. The exact meaning depends on the context in which the ordered pair is used.
1
If the reflection is over the x value, the x-value does not change.
When an ordered pair is reflected over the x-axis, the x-value remains unchanged. Only the y-value is altered; it becomes its opposite. For example, if the original ordered pair is (a, b), after reflection, it becomes (a, -b).
y
Given the ordered pair (3, y), what value of ywould make the ordered pair a solution of the equation 4x − 2y = 24?12
1
An ordered pair has two values. You need to define the absolute value of an ordered pair before the question can be answered. There are many possible metrics.
If the reflection is over the x value, the x-value does not change.
When an ordered pair is reflected over the x-axis, the x-value remains unchanged. Only the y-value is altered; it becomes its opposite. For example, if the original ordered pair is (a, b), after reflection, it becomes (a, -b).
The INVERSE of any relation is obtained by switching the coordinates in each ordered pair.
y
Given the ordered pair (3, y), what value of ywould make the ordered pair a solution of the equation 4x − 2y = 24?12
Evaluate the function at the first number in the pair. If the answer is not equal to the second value, then the ordered pair cannot be in the function.
The x coordinate.
Removing the ordered pair would ensure that each input (or "x" value) in the relation corresponds to exactly one output (or "y" value). A function is defined as a relation where no two ordered pairs have the same first component with different second components. Therefore, eliminating the pair that violates this condition would make the relation a valid function.
a patteren
If an ordered pair is a solution to a system of linear equations, then algebraically it returns the same values when substituted appropriately into the x and y variables in each equation. For a very basic example: (0,0) satisfies the linear system of equations given by y=x and y=-2x By substituting in x=0 into both equations, the following is obtained: y=(0) and y=-2(0)=0 x=0 returns y=0 for both equations, which satisfies the ordered pair (0,0). This means that if an ordered pair is a solution to a system of equations, the x of that ordered pair returns the same y for all equations in the system. Graphically, this means that all equations in the system intersect at that point. This makes sense because an x value returns the same y value at that ordered pair, meaning all equations would have the same value at the x-coordinate of the ordered pair. The ordered pair specifies an intersection point of the equations.