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If the farmer has 246 feet of fencing, what are the dimensions of the region which enclose the maximal area?

If the farmer has 246 feet of fencing, what are the dimensions of the region which enclose the maximal area?

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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If the farmer has 246 feet of fencing, what are the dimensions of the region which enclose the maximal area?

The image is a graph of a quadratic function, which is a parabola. The graph is plotted on a coordinate grid with both x and y axes ranging from -7 to 7. Here is a detailed description: 1. **Axes**: The x-axis (horizontal) and y-axis (vertical) are both labeled with numbers ranging from -7 to 7, with intersection at the origin (0, 0). 2. **Parabola**: - The parabola is opening downwards, indicating that the quadratic function has a negative leading coefficient. - The vertex of the parabola appears to be at the point (3, 3), which is the highest point on the graph due to the downward opening. - The parabola crosses the x-axis around (1, 0) and (5, 0), indicating the approximate roots of the quadratic equation. 3. **Points**: - There is a solid point marked at the vertex (3, 3), highlighting it as a significant feature of the graph. - Another point is visible on the parabola at (4, 2), marking a particular value on the curve. 4. **Grid**: The background grid aids in reading precise values from the graph, with each square representing a unit step on both axes. This graph represents a typical quadratic function form and can be used to explore properties such as vertex, axis of symmetry, and roots/solutions.
Transcribed Image Text:The image is a graph of a quadratic function, which is a parabola. The graph is plotted on a coordinate grid with both x and y axes ranging from -7 to 7. Here is a detailed description: 1. **Axes**: The x-axis (horizontal) and y-axis (vertical) are both labeled with numbers ranging from -7 to 7, with intersection at the origin (0, 0). 2. **Parabola**: - The parabola is opening downwards, indicating that the quadratic function has a negative leading coefficient. - The vertex of the parabola appears to be at the point (3, 3), which is the highest point on the graph due to the downward opening. - The parabola crosses the x-axis around (1, 0) and (5, 0), indicating the approximate roots of the quadratic equation. 3. **Points**: - There is a solid point marked at the vertex (3, 3), highlighting it as a significant feature of the graph. - Another point is visible on the parabola at (4, 2), marking a particular value on the curve. 4. **Grid**: The background grid aids in reading precise values from the graph, with each square representing a unit step on both axes. This graph represents a typical quadratic function form and can be used to explore properties such as vertex, axis of symmetry, and roots/solutions.
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