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What are the ordered pairs of the solutions for 4 this system of equations? 2 (-2, [ ?]) -4 2 4 -2 and +4 6) Enter

What are the ordered pairs of the solutions for 4 this system of equations? 2 (-2, [ ?]) -4 2 4 -2 and +4 6) Enter

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Understanding Solutions of Systems of Equations** **Graph Overview:** The image features a graph that represents a system of two equations. The graph includes one red line and one blue parabola. The x-axis ranges from -4 to 6, and the y-axis ranges from -6 to 6. There are two distinct points where the red line intersects the blue parabola. **Graph Details:** - The red line appears to have a positive slope, intersecting the y-axis at -2. - The blue parabola opens upwards and has its vertex at (0, -6). **Problem Statement:** The educational task is to determine the ordered pairs of solutions where the red line intersects the blue parabola. **Intersection Points:** - The first intersection point is at x-coordinate -2. The y-coordinate for this intersection is not provided and needs to be found. - The second intersection point occurs at y-coordinate 6. The x-coordinate for this intersection is not provided and needs to be found. **Questions:** 1. What are the coordinates (ordered pair) of the first intersection? The given information is (-2, ?). 2. What are the coordinates (ordered pair) of the second intersection? The given information is (?, 6). To solve this, identify the precise y-coordinate for the point where \(x = -2\) intersects the blue parabola. Similarly, determine the x-coordinate for the point where \(y = 6\) intersects the given red line and blue parabola. In conclusion, by analyzing the graph, we can identify the exact points where the system of equations intersects, providing the solutions to the system.
Transcribed Image Text:**Understanding Solutions of Systems of Equations** **Graph Overview:** The image features a graph that represents a system of two equations. The graph includes one red line and one blue parabola. The x-axis ranges from -4 to 6, and the y-axis ranges from -6 to 6. There are two distinct points where the red line intersects the blue parabola. **Graph Details:** - The red line appears to have a positive slope, intersecting the y-axis at -2. - The blue parabola opens upwards and has its vertex at (0, -6). **Problem Statement:** The educational task is to determine the ordered pairs of solutions where the red line intersects the blue parabola. **Intersection Points:** - The first intersection point is at x-coordinate -2. The y-coordinate for this intersection is not provided and needs to be found. - The second intersection point occurs at y-coordinate 6. The x-coordinate for this intersection is not provided and needs to be found. **Questions:** 1. What are the coordinates (ordered pair) of the first intersection? The given information is (-2, ?). 2. What are the coordinates (ordered pair) of the second intersection? The given information is (?, 6). To solve this, identify the precise y-coordinate for the point where \(x = -2\) intersects the blue parabola. Similarly, determine the x-coordinate for the point where \(y = 6\) intersects the given red line and blue parabola. In conclusion, by analyzing the graph, we can identify the exact points where the system of equations intersects, providing the solutions to the system.
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