10. Johnson hit a baseball that follows the parabolic path shown. The point (400, 8) represents the top of the outfield wall on this path. Height (ft) 100 75 50 25 0 -0.0025x+x+3 100 200 300 400 Distance from Home Plate (ft) a. Write a quadratic inequality whose solutions represent the locations of the top of any wall that his ball would clear. b. Describe the graph of the solution to the inequality in Part a. c. Will Johnson's hit be a home run? Explain.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem 10:**

Johnson hit a baseball that follows the parabolic path shown. The point (400, 8) represents the top of the outfield wall on this path.

**Graph Explanation:**
- The graph is a parabola representing the height of the ball over time. 
- The x-axis is labeled "Distance from Home Plate (ft)" and ranges from 0 to 450 feet. 
- The y-axis is labeled "Height (ft)" and ranges from 0 to 125 feet.
- The equation of the parabola is given as \( y = -0.0025x^2 + x + 3 \). 
- The graph peaks before declining and intersects the x-axis near 400 feet, indicating where the ball lands.

**Tasks:**

a. **Write a quadratic inequality whose solutions represent the locations of the top of any wall that his ball would clear.**

b. **Describe the graph of the solution to the inequality in Part a.**

c. **Will Johnson's hit be a home run? Explain.**
Transcribed Image Text:**Problem 10:** Johnson hit a baseball that follows the parabolic path shown. The point (400, 8) represents the top of the outfield wall on this path. **Graph Explanation:** - The graph is a parabola representing the height of the ball over time. - The x-axis is labeled "Distance from Home Plate (ft)" and ranges from 0 to 450 feet. - The y-axis is labeled "Height (ft)" and ranges from 0 to 125 feet. - The equation of the parabola is given as \( y = -0.0025x^2 + x + 3 \). - The graph peaks before declining and intersects the x-axis near 400 feet, indicating where the ball lands. **Tasks:** a. **Write a quadratic inequality whose solutions represent the locations of the top of any wall that his ball would clear.** b. **Describe the graph of the solution to the inequality in Part a.** c. **Will Johnson's hit be a home run? Explain.**
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