Question

The height, in feet, of a ball thrown by a child is modeled by the quadratic equation \frac{1}{12}x^2 + 4x + 5 where \textit{x} is the horizontal distance in feet from the point at which the ball is thrown. Use \textit{f} to answer the following questions. Round solutions to three decimal places, if necessary. How high is the ball when it leaves the child's hand? feet How far away from the child does the ball reach its maximum height? feet What is the maximum height of the ball? feet How far from the child does the ball strike the ground? feet

          The height, in feet, of a ball thrown by a child is modeled by the quadratic equation
\frac{1}{12}x^2 + 4x + 5
where \textit{x} is the horizontal distance in feet from the point at which the ball is thrown. Use \textit{f} to answer the
following questions. Round solutions to three decimal places, if necessary.
How high is the ball when it leaves the child's hand?
feet
How far away from the child does the ball reach its maximum height?
feet
What is the maximum height of the ball?
feet
How far from the child does the ball strike the ground?
feet

Show more…

The height, in feet, of a ball thrown by a child is modeled by the quadratic equation
(1)/(12)x^2 + 4x + 5
where x is the horizontal distance in feet from the point at which the ball is thrown. Use f to answer the
following questions. Round solutions to three decimal places, if necessary.
How high is the ball when it leaves the child's hand?
feet
How far away from the child does the ball reach its maximum height?
feet
What is the maximum height of the ball?
feet
How far from the child does the ball strike the ground?
feet

Added by Rachel H.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Nick Johnson

07/27/2023

Step 1

f(0) = -(1/12)(0)^2 + 4(0) + 5 f(0) = 5 Therefore, the ball is 5 feet high when it leaves the child's hand. Show more…

Show all steps

lock

Thanks for your feedback!

The height, in feet, of a ball thrown by a child is modeled by the quadratic equation f(x)=-(1)/(12)x^(2)+4x+5 where x is the horizontal distance in feet from the point at which the ball is thrown. Use f to answer the following questions. Round solutions to three decimal places, if necessary. How high is the ball when it leaves the child's hand? feet How far away from the child does the ball reach its maximum height? feet What is the maximum height of the ball? feet How far from the child does the ball strike the ground? feet The height, in feet, of a ball thrown by a child is modeled by the quadratic equation f()= 2+4x+5 12 where c is the horizontal distance in feet from the point at which the ball is thrown. Use f to answer the following questions. Round solutions to three decimal places, if necessary. How high is the ball when it leaves the child's hand? feet How far away from the child does the ball reach its maximum height? feet What is the maximum height of the ball? feet How far from the child does the ball strike the ground? feet

Play audio

Feedback

Powered by NumerAI

Nick Johnson and 54 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later