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Question 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.

Question 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
Problem 29PPS
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Question 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.
Transcribed Image Text:Question 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.
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