Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 5.9, Problem 20P

To determine

To find the speed going up.

Expert Solution & Answer

Answer to Problem 20P

The average speed of going top be 4 m/s

Explanation of Solution

Formula:

Given that an elevator went from the bottom to the top of a 240m tower, remained there for 12s, and returned to the bottom in an elapsed time of 2 min. If the elevator traveled 1 m/s faster on the way down.

Formula:

Speed=distancetime

Let speed be x(m/s)for going top with a distance of a 240m

First, determine the total time of 240m distance covered with speed x m/s

time(up)=240x.............(i)

Now, determine the total time of 240m distance covered with speed x+1(m/s)

time(down)=240(x+1)...............(ii)

Finally total time be the time to go up and go down with stay (no motion)

Elevator time is not moving for 12 s

So, the total time be 2min−12sec=120−12=108s (motion time).....(iii)

Now, Add equation ( i ) and equation ( ii ) and compare with equation (iii)

240x+240(x+1)=108240(x+1)+240(x)=108x(x+1)240x+240+240x=108x2+108x108x2−372x−240=09x2−31x−20=09x2−(36−5)x−20=09x2−36x+5x−20=09x(x−4)+5(x−4)=0(9x+5)(x−4)=0x:−95,4

Hence, The speed of the going top be 4 m/s

Chapter 5.9, Problem 19P

Chapter 5.9, Problem 21P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 1OE Ch. 5.1 - Prob. 2OE Ch. 5.1 - Prob. 3OE Ch. 5.1 - Prob. 4OE Ch. 5.1 - Prob. 5OE Ch. 5.1 - Prob. 6OE Ch. 5.1 - Prob. 7OE Ch. 5.1 - Prob. 8OE Ch. 5.1 - Prob. 9OE Ch. 5.1 - Prob. 10OE

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