Create and solve a system of equations to solve the problem. A billboard painter is using a pulley system to hoist a can of paint up to a scaffold at a rate of half a meter per second. The height of the can of paint as a function of time is given by h (t)=0.5x + 7. Five seconds after he starts raising the can of paint, his partner accidentally kicks a paint brush off of the scaffolding, which falls to the ground. The height of the falling paint brush can be represented by h(t)=-4.9(x - 5)2 + 37. When does the brush pass the paint can? If necessary, round your answer to the nearest hundredth. The paint brush passes by the can about seconds after the painter starts hoisting it up.
Create and solve a system of equations to solve the problem. A billboard painter is using a pulley system to hoist a can of paint up to a scaffold at a rate of half a meter per second. The height of the can of paint as a function of time is given by h (t)=0.5x + 7. Five seconds after he starts raising the can of paint, his partner accidentally kicks a paint brush off of the scaffolding, which falls to the ground. The height of the falling paint brush can be represented by h(t)=-4.9(x - 5)2 + 37. When does the brush pass the paint can? If necessary, round your answer to the nearest hundredth. The paint brush passes by the can about seconds after the painter starts hoisting it up.
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.4: Solve Applications With Systems Of Equations
Problem 5.82TI: Translate to a system of equations and then solve: Alexis wants to build a rectangular dog run in...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning