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 +8. 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 + 38. 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
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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...
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Create and solve a system of equations to solve the problem.
A billboard painter is using a pulley system to holist 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 glven by h (t) = 0.5x +8. 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
nearest hundredth.
+38. When does the brush pass the paint can? If necessary, round your answer to the
The paint brush passes by the can about
seconds after the painter starts hoisting it up.
Transcribed Image Text:Questlon Create and solve a system of equations to solve the problem. A billboard painter is using a pulley system to holist 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 glven by h (t) = 0.5x +8. 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 nearest hundredth. +38. When does the brush pass the paint can? If necessary, round your answer to the The paint brush passes by the can about seconds after the painter starts hoisting it up.
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