6 A cannon is placed on the edge of a cliff. The height of a fired cannonball is modeled by the function below, where x is the time in seconds. Exactly how long is the cannonball in the air? Write the equation you will need to solve to answer this question. f(x) = (50- 16x)(x + 3) %3D
6 A cannon is placed on the edge of a cliff. The height of a fired cannonball is modeled by the function below, where x is the time in seconds. Exactly how long is the cannonball in the air? Write the equation you will need to solve to answer this question. f(x) = (50- 16x)(x + 3) %3D
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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![### Problem 6
A cannon is placed on the edge of a cliff. The height of a fired cannonball is modeled by the function below, where \( x \) is the time in seconds. Exactly how long is the cannonball in the air?
Write the equation you will need to solve to answer this question.
\[ f(x) = (50 - 16x)(x + 3) \]
**Enter your answer:**
---
### Problem 7
A cannon is placed on the edge of a cliff. The height of a fired cannonball is modeled by the function below, where \( x \) is the time in seconds. Exactly how long is the cannonball in the air? (No decimals)
Solve the equation you wrote in number 6. Show/explain how you solved it. You may upload a picture of your work at the end.
\[ f(x) = (50 - 16x)(x + 3) \]
**Enter your answer:**
---
### Explanation for Educators
In these problems, students are tasked with determining the time it takes for a cannonball, fired from a cliff, to return to ground level. Given the height function \( f(x) = (50 - 16x)(x + 3) \), students need to set this function equal to zero and solve for \( x \), representing time in seconds. This requires understanding and applying concepts of quadratic equations and factoring. The solution involves finding the roots of the polynomial equation representing the cannonball's height as a function of time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F716b07bd-8c61-4cea-9832-6f6fb0ec5c5a%2Faaa8d41d-45c4-4395-a288-ebf3c102ef1e%2Fyd8xnn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 6
A cannon is placed on the edge of a cliff. The height of a fired cannonball is modeled by the function below, where \( x \) is the time in seconds. Exactly how long is the cannonball in the air?
Write the equation you will need to solve to answer this question.
\[ f(x) = (50 - 16x)(x + 3) \]
**Enter your answer:**
---
### Problem 7
A cannon is placed on the edge of a cliff. The height of a fired cannonball is modeled by the function below, where \( x \) is the time in seconds. Exactly how long is the cannonball in the air? (No decimals)
Solve the equation you wrote in number 6. Show/explain how you solved it. You may upload a picture of your work at the end.
\[ f(x) = (50 - 16x)(x + 3) \]
**Enter your answer:**
---
### Explanation for Educators
In these problems, students are tasked with determining the time it takes for a cannonball, fired from a cliff, to return to ground level. Given the height function \( f(x) = (50 - 16x)(x + 3) \), students need to set this function equal to zero and solve for \( x \), representing time in seconds. This requires understanding and applying concepts of quadratic equations and factoring. The solution involves finding the roots of the polynomial equation representing the cannonball's height as a function of time.
![**Activity 8**
The area of a triangular flag, \( y \), is given by the equation below, where \( x \) is the length of the base.
**Question:**
What is the length of the base if the area is 48 units squared?
**Instructions:**
Write the equation you will need to solve.
\[ y = 2x^2 + 10x \]
**Input Box for Answer:**
[Enter your answer]
---
**Activity 9**
The area of a triangular flag, \( y \), is given by the equation below, where \( x \) is the length of the base.
**Question:**
What is the length of the base if the area is 48 units squared?
**Instructions:**
Solve the equation you wrote in #8. Show/explain how you solved it. You may upload a picture of your work at the end.
\[ y = 2x^2 + 10x \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F716b07bd-8c61-4cea-9832-6f6fb0ec5c5a%2Faaa8d41d-45c4-4395-a288-ebf3c102ef1e%2Frhamd3l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Activity 8**
The area of a triangular flag, \( y \), is given by the equation below, where \( x \) is the length of the base.
**Question:**
What is the length of the base if the area is 48 units squared?
**Instructions:**
Write the equation you will need to solve.
\[ y = 2x^2 + 10x \]
**Input Box for Answer:**
[Enter your answer]
---
**Activity 9**
The area of a triangular flag, \( y \), is given by the equation below, where \( x \) is the length of the base.
**Question:**
What is the length of the base if the area is 48 units squared?
**Instructions:**
Solve the equation you wrote in #8. Show/explain how you solved it. You may upload a picture of your work at the end.
\[ y = 2x^2 + 10x \]
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