College Algebra & Trigonometry - Standalone book
College Algebra & Trigonometry - Standalone book
1st Edition
ISBN: 9780078035623
Author: Julie Miller, Donna Gerken
Publisher: McGraw-Hill Education
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 9 Solutions

College Algebra & Trigonometry - Standalone book

Ch. 9.1 - For Exercises R.1-R.4, solve the equation. R.1...Ch. 9.1 - Prob. R.2PECh. 9.1 - For Exercises R.1-R.4, solve the equation. R.3...Ch. 9.1 - Prob. R.4PECh. 9.1 - Graph the equation and identify the x and y-...Ch. 9.1 - Prob. R.6PECh. 9.1 - Prob. 1PECh. 9.1 - Prob. 2PECh. 9.1 - Prob. 3PECh. 9.1 - Prob. 4PE
Ch. 9.1 - A system of equations that has no solution is...Ch. 9.1 - A system of linear equations in two variables may...Ch. 9.1 - For Exercises 7-10, determine if the ordered pair...Ch. 9.1 - Prob. 8PECh. 9.1 - For Exercises 7-10, determine if the ordered pair...Ch. 9.1 - Prob. 10PECh. 9.1 - For Exercises 11-14, a system of equations is...Ch. 9.1 - For Exercises 11-14, a system of equations is...Ch. 9.1 - Prob. 13PECh. 9.1 - Prob. 14PECh. 9.1 - For Exercises 15-20, solve the system of equations...Ch. 9.1 - Prob. 16PECh. 9.1 - For Exercises 15-20, solve the system of equations...Ch. 9.1 - Prob. 18PECh. 9.1 - For Exercises 15-20, solve the system of equations...Ch. 9.1 - Prob. 20PECh. 9.1 - For Exercises 21-28, solve the system of equations...Ch. 9.1 - Prob. 22PECh. 9.1 - For Exercises 21-28, solve the system of equations...Ch. 9.1 - Prob. 24PECh. 9.1 - For Exercises 21-28, solve the system of equations...Ch. 9.1 - Prob. 26PECh. 9.1 - For Exercises 21-28, solve the system of equations...Ch. 9.1 - Prob. 28PECh. 9.1 - For Exercises 2934, solve the system by using any...Ch. 9.1 - Prob. 30PECh. 9.1 - For Exercises 2934, solve the system by using any...Ch. 9.1 - Prob. 32PECh. 9.1 - Prob. 33PECh. 9.1 - Prob. 34PECh. 9.1 - For Exercises 3536, Write the general solution....Ch. 9.1 - For Exercises 3536, Write the general solution....Ch. 9.1 - Prob. 37PECh. 9.1 - Prob. 38PECh. 9.1 - For Exercises 3750, solve the system using any...Ch. 9.1 - Prob. 40PECh. 9.1 - Prob. 41PECh. 9.1 - Prob. 42PECh. 9.1 - Prob. 43PECh. 9.1 - Prob. 44PECh. 9.1 - Prob. 45PECh. 9.1 - Prob. 46PECh. 9.1 - Prob. 47PECh. 9.1 - Prob. 48PECh. 9.1 - Prob. 49PECh. 9.1 - Prob. 50PECh. 9.1 - One antifreeze solution is 36% alcohol and another...Ch. 9.1 - Prob. 52PECh. 9.1 - A radiator has 16 L of a 36% antifreeze solution....Ch. 9.1 - Prob. 54PECh. 9.1 - Michelle borrows a total of $5000 in student loans...Ch. 9.1 - Prob. 56PECh. 9.1 - Prob. 57PECh. 9.1 - A total of $6000 is invested for 5 yr with a total...Ch. 9.1 - Monique and Tara each make an ice cream sundae....Ch. 9.1 - Prob. 60PECh. 9.1 - Prob. 61PECh. 9.1 - The average of an electrician's hourly wage and a...Ch. 9.1 - A moving sidewalk in an airport moves people...Ch. 9.1 - Prob. 64PECh. 9.1 - Prob. 65PECh. 9.1 - Prob. 66PECh. 9.1 - A cleaning company charges $100 for each office it...Ch. 9.1 - Prob. 68PECh. 9.1 - For Exercises 6970, refer to Figure 9-1 and the...Ch. 9.1 - Prob. 70PECh. 9.1 - Prob. 71PECh. 9.1 - Prob. 72PECh. 9.1 - Prob. 73PECh. 9.1 - Prob. 74PECh. 9.1 - Two angles are complementary. The measure of one...Ch. 9.1 - Prob. 76PECh. 9.1 - For Exercises 7778, find the measure of angles x...Ch. 9.1 - Prob. 78PECh. 9.1 - Prob. 79PECh. 9.1 - Prob. 80PECh. 9.1 - Prob. 81PECh. 9.1 - Prob. 82PECh. 9.1 - Prob. 83PECh. 9.1 - Prob. 84PECh. 9.1 - Prob. 85PECh. 9.1 - Prob. 86PECh. 9.1 - Prob. 87PECh. 9.1 - Prob. 88PECh. 9.1 - Prob. 89PECh. 9.1 - Prob. 90PECh. 9.1 - Prob. 91PECh. 9.1 - Prob. 92PECh. 9.1 - Prob. 93PECh. 9.1 - Prob. 94PECh. 9.1 - Prob. 95PECh. 9.1 - Prob. 96PECh. 9.1 - Prob. 97PECh. 9.1 - Prob. 98PECh. 9.1 - Prob. 99PECh. 9.2 - How much interest will Roxanne have to pay if she...Ch. 9.2 - Prob. R.2PECh. 9.2 - Prob. R.3PECh. 9.2 - Prob. 1PECh. 9.2 - Prob. 2PECh. 9.2 - Prob. 3PECh. 9.2 - Prob. 4PECh. 9.2 - For Exercises 5-8, determine if the ordered triple...Ch. 9.2 - Prob. 6PECh. 9.2 - Prob. 7PECh. 9.2 - Prob. 8PECh. 9.2 - For Exercises 9-32, solve the system. If a system...Ch. 9.2 - Prob. 10PECh. 9.2 - For Exercises 9-32, solve the system. If a system...Ch. 9.2 - Prob. 12PECh. 9.2 - For Exercises 9-32, solve the system. If a system...Ch. 9.2 - Prob. 14PECh. 9.2 - For Exercises 9-32, solve the system. If a system...Ch. 9.2 - Prob. 16PECh. 9.2 - For Exercises 9-32, solve the system. If a system...Ch. 9.2 - Prob. 18PECh. 9.2 - For Exercises 9-32, solve the system. If a system...Ch. 9.2 - Prob. 20PECh. 9.2 - For Exercises 9-32, solve the system. If a system...Ch. 9.2 - Prob. 22PECh. 9.2 - Prob. 23PECh. 9.2 - Prob. 24PECh. 9.2 - For Exercises 9-32, solve the system. If a system...Ch. 9.2 - Prob. 26PECh. 9.2 - Prob. 27PECh. 9.2 - Prob. 28PECh. 9.2 - Prob. 29PECh. 9.2 - Prob. 30PECh. 9.2 - Prob. 31PECh. 9.2 - Prob. 32PECh. 9.2 - Prob. 33PECh. 9.2 - Prob. 34PECh. 9.2 - Prob. 35PECh. 9.2 - Prob. 36PECh. 9.2 - Prob. 37PECh. 9.2 - Prob. 38PECh. 9.2 - Devon invested $8000 in three different mutual...Ch. 9.2 - Prob. 40PECh. 9.2 - A basketball player scored 26 points in one game....Ch. 9.2 - Prob. 42PECh. 9.2 - Prob. 43PECh. 9.2 - Prob. 44PECh. 9.2 - Prob. 45PECh. 9.2 - Prob. 46PECh. 9.2 - The measure of the largest angle in a triangle is...Ch. 9.2 - Prob. 48PECh. 9.2 - a. Show that the points (l, 0), (3, 10), and (-2,...Ch. 9.2 - Prob. 50PECh. 9.2 - For Exercises 51-52, find an equation of the form...Ch. 9.2 - For Exercises 51-52, find an equation of the form...Ch. 9.2 - Prob. 53PECh. 9.2 - Prob. 54PECh. 9.2 - Prob. 55PECh. 9.2 - Many statistics courses cover a topic called...Ch. 9.2 - Prob. 57PECh. 9.2 - Prob. 58PECh. 9.2 - Prob. 59PECh. 9.2 - Prob. 60PECh. 9.2 - Prob. 61PECh. 9.2 - Prob. 62PECh. 9.2 - Prob. 63PECh. 9.2 - Prob. 64PECh. 9.2 - Prob. 65PECh. 9.2 - Prob. 66PECh. 9.2 - Prob. 67PECh. 9.2 - Prob. 68PECh. 9.3 - Prob. R.1PECh. 9.3 - Prob. R.2PECh. 9.3 - Prob. R.3PECh. 9.3 - Prob. R.4PECh. 9.3 - Prob. R.5PECh. 9.3 - Prob. 1PECh. 9.3 - Prob. 2PECh. 9.3 - Prob. 3PECh. 9.3 - Prob. 4PECh. 9.3 - Prob. 5PECh. 9.3 - Prob. 6PECh. 9.3 - Prob. 7PECh. 9.3 - Prob. 8PECh. 9.3 - Prob. 9PECh. 9.3 - Prob. 10PECh. 9.3 - Prob. 11PECh. 9.3 - Prob. 12PECh. 9.3 - Prob. 13PECh. 9.3 - Prob. 14PECh. 9.3 - Prob. 15PECh. 9.3 - Prob. 16PECh. 9.3 - Prob. 17PECh. 9.3 - Prob. 18PECh. 9.3 - Prob. 19PECh. 9.3 - Prob. 20PECh. 9.3 - Prob. 21PECh. 9.3 - Prob. 22PECh. 9.3 - Prob. 23PECh. 9.3 - Prob. 24PECh. 9.3 - Prob. 25PECh. 9.3 - Prob. 26PECh. 9.3 - Prob. 27PECh. 9.3 - Prob. 28PECh. 9.3 - Prob. 29PECh. 9.3 - Prob. 30PECh. 9.3 - Prob. 31PECh. 9.3 - Prob. 32PECh. 9.3 - Prob. 33PECh. 9.3 - Prob. 34PECh. 9.3 - Prob. 35PECh. 9.3 - Prob. 36PECh. 9.3 - Prob. 37PECh. 9.3 - Prob. 38PECh. 9.3 - Prob. 39PECh. 9.3 - Prob. 40PECh. 9.3 - Prob. 41PECh. 9.3 - Prob. 42PECh. 9.3 - Prob. 43PECh. 9.3 - Prob. 44PECh. 9.3 - Prob. 45PECh. 9.3 - Prob. 46PECh. 9.3 - Prob. 47PECh. 9.3 - Prob. 48PECh. 9.3 - Prob. 49PECh. 9.3 - Prob. 50PECh. 9.3 - Prob. 51PECh. 9.3 - Prob. 52PECh. 9.3 - Prob. 53PECh. 9.3 - Prob. 54PECh. 9.3 - Prob. 55PECh. 9.3 - Prob. 56PECh. 9.4 - For Exercises R.1-R.3, graph the equation. R.1....Ch. 9.4 - Prob. R.2PECh. 9.4 - Prob. R.3PECh. 9.4 - Prob. R.4PECh. 9.4 - Prob. R.5PECh. 9.4 - Prob. 1PECh. 9.4 - Prob. 2PECh. 9.4 - For Exercises 3-14, a. Graph the equations in the...Ch. 9.4 - Prob. 4PECh. 9.4 - Prob. 5PECh. 9.4 - Prob. 6PECh. 9.4 - For Exercises 3-14, a. Graph the equations in the...Ch. 9.4 - Prob. 8PECh. 9.4 - Prob. 9PECh. 9.4 - Prob. 10PECh. 9.4 - For Exercises 3-14, a. Graph the equations in the...Ch. 9.4 - Prob. 12PECh. 9.4 - For Exercises 3-14, a. Graph the equations in the...Ch. 9.4 - Prob. 14PECh. 9.4 - Prob. 15PECh. 9.4 - Prob. 16PECh. 9.4 - For Exercises 15-22, solve the system by using the...Ch. 9.4 - Prob. 18PECh. 9.4 - Prob. 19PECh. 9.4 - Prob. 20PECh. 9.4 - Prob. 21PECh. 9.4 - Prob. 22PECh. 9.4 - Prob. 23PECh. 9.4 - Prob. 24PECh. 9.4 - Prob. 25PECh. 9.4 - Prob. 26PECh. 9.4 - Prob. 27PECh. 9.4 - Prob. 28PECh. 9.4 - Prob. 29PECh. 9.4 - Prob. 30PECh. 9.4 - Prob. 31PECh. 9.4 - Prob. 32PECh. 9.4 - Prob. 33PECh. 9.4 - Prob. 34PECh. 9.4 - Prob. 35PECh. 9.4 - Prob. 36PECh. 9.4 - Find two numbers whose sum is 12 and whose product...Ch. 9.4 - Prob. 38PECh. 9.4 - Prob. 39PECh. 9.4 - Prob. 40PECh. 9.4 - Prob. 41PECh. 9.4 - Prob. 42PECh. 9.4 - Prob. 43PECh. 9.4 - Prob. 44PECh. 9.4 - Prob. 45PECh. 9.4 - Prob. 46PECh. 9.4 - Prob. 47PECh. 9.4 - Prob. 48PECh. 9.4 - Prob. 49PECh. 9.4 - Prob. 50PECh. 9.4 - Prob. 51PECh. 9.4 - Prob. 52PECh. 9.4 - Prob. 53PECh. 9.4 - Prob. 54PECh. 9.4 - Prob. 55PECh. 9.4 - Prob. 56PECh. 9.4 - Prob. 57PECh. 9.4 - Prob. 58PECh. 9.4 - Prob. 59PECh. 9.4 - Prob. 60PECh. 9.4 - Prob. 61PECh. 9.4 - Prob. 62PECh. 9.4 - Prob. 63PECh. 9.4 - Prob. 64PECh. 9.4 - Prob. 65PECh. 9.4 - Prob. 66PECh. 9.4 - Prob. 67PECh. 9.4 - Prob. 68PECh. 9.4 - Prob. 69PECh. 9.4 - Prob. 70PECh. 9.4 - Prob. 71PECh. 9.4 - Prob. 72PECh. 9.4 - Prob. 73PECh. 9.4 - Prob. 74PECh. 9.4 - Prob. 75PECh. 9.4 - Prob. 76PECh. 9.4 - Prob. 77PECh. 9.4 - Prob. 78PECh. 9.4 - Prob. 79PECh. 9.4 - Prob. 80PECh. 9.5 - Use the graph to solve the equation and...Ch. 9.5 - Prob. 1PECh. 9.5 - Prob. 2PECh. 9.5 - Prob. 3PECh. 9.5 - Prob. 4PECh. 9.5 - Prob. 5PECh. 9.5 - Prob. 6PECh. 9.5 - Prob. 7PECh. 9.5 - Prob. 8PECh. 9.5 - Prob. 9PECh. 9.5 - Prob. 10PECh. 9.5 - Prob. 11PECh. 9.5 - Prob. 12PECh. 9.5 - Prob. 13PECh. 9.5 - Prob. 14PECh. 9.5 - Prob. 15PECh. 9.5 - Prob. 16PECh. 9.5 - Prob. 17PECh. 9.5 - Prob. 18PECh. 9.5 - Prob. 19PECh. 9.5 - Prob. 20PECh. 9.5 - Prob. 21PECh. 9.5 - Prob. 22PECh. 9.5 - Prob. 23PECh. 9.5 - Prob. 24PECh. 9.5 - Prob. 25PECh. 9.5 - Prob. 26PECh. 9.5 - Prob. 27PECh. 9.5 - Prob. 28PECh. 9.5 - Prob. 29PECh. 9.5 - Prob. 30PECh. 9.5 - Prob. 31PECh. 9.5 - Prob. 32PECh. 9.5 - Prob. 33PECh. 9.5 - Prob. 34PECh. 9.5 - Prob. 35PECh. 9.5 - Prob. 36PECh. 9.5 - Prob. 37PECh. 9.5 - Prob. 38PECh. 9.5 - Prob. 39PECh. 9.5 - Prob. 40PECh. 9.5 - Prob. 41PECh. 9.5 - Prob. 42PECh. 9.5 - Prob. 43PECh. 9.5 - Prob. 44PECh. 9.5 - Prob. 45PECh. 9.5 - Prob. 46PECh. 9.5 - Prob. 47PECh. 9.5 - Prob. 48PECh. 9.5 - Prob. 49PECh. 9.5 - Prob. 50PECh. 9.5 - Prob. 51PECh. 9.5 - Prob. 52PECh. 9.5 - Prob. 53PECh. 9.5 - For Exercises 41-58, graph the solution set. If...Ch. 9.5 - For Exercises 41-58, graph the solution set. If...Ch. 9.5 - Prob. 56PECh. 9.5 - For Exercises 41-58, graph the solution set. If...Ch. 9.5 - For Exercises 41-58, graph the solution set. If...Ch. 9.5 - Prob. 59PECh. 9.5 - Prob. 60PECh. 9.5 - Prob. 61PECh. 9.5 - Prob. 62PECh. 9.5 - Prob. 63PECh. 9.5 - Prob. 64PECh. 9.5 - Prob. 65PECh. 9.5 - Prob. 66PECh. 9.5 - Prob. 67PECh. 9.5 - Prob. 68PECh. 9.5 - Prob. 69PECh. 9.5 - Prob. 70PECh. 9.5 - Prob. 71PECh. 9.5 - Prob. 72PECh. 9.5 - Prob. 73PECh. 9.5 - Prob. 74PECh. 9.5 - Prob. 75PECh. 9.5 - Explain how test points are used to determine the...Ch. 9.5 - Prob. 77PECh. 9.5 - Prob. 78PECh. 9.5 - Prob. 79PECh. 9.5 - Prob. 80PECh. 9.5 - Prob. 81PECh. 9.5 - Prob. 82PECh. 9.6 - A salesperson makes a base salary of $500 per week...Ch. 9.6 - A luxury car rental company charges $123 per day...Ch. 9.6 - The process that maximizes or minimizes a function...Ch. 9.6 - The function to be optimized in a linear...Ch. 9.6 - The region in the plane that represents the...Ch. 9.6 - The points of intersection of a feasible region...Ch. 9.6 - Prob. 5PECh. 9.6 - Prob. 6PECh. 9.6 - Prob. 7PECh. 9.6 - Prob. 8PECh. 9.6 - Prob. 9PECh. 9.6 - Prob. 10PECh. 9.6 - Prob. 11PECh. 9.6 - Prob. 12PECh. 9.6 - Prob. 13PECh. 9.6 - Prob. 14PECh. 9.6 - Prob. 15PECh. 9.6 - Prob. 16PECh. 9.6 - Prob. 17PECh. 9.6 - Prob. 18PECh. 9.6 - Prob. 19PECh. 9.6 - Prob. 20PECh. 9.6 - Prob. 21PECh. 9.6 - Guyton makes $24/hr tutoring chemistry and $20/hr...Ch. 9.6 - A plant nursery sells two sizes of oak trees to...Ch. 9.6 - A sporting goods store sells two types of exercise...Ch. 9.6 - Prob. 25PECh. 9.6 - A large department store needs at least 3600 labor...Ch. 9.6 - A manufacturer produces two models of a gas grill....Ch. 9.6 - Prob. 28PECh. 9.6 - A farmer has 1200 acres ofland and plans to plant...Ch. 9.6 - Prob. 30PECh. 9.6 - Prob. 31PECh. 9.6 - Prob. 32PECh. 9.6 - Prob. 33PECh. 9.6 - Prob. 34PECh. 9 - For Exercises 1-2, for parts (a) and (b), graph...Ch. 9 - For Exercises 1-2, for parts (a) and (b), graph...Ch. 9 - Prob. 3PRECh. 9 - Prob. 4PRECh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Emily receives an inheritance of $20,000 and...Ch. 9 - Prob. 20RECh. 9 - For Exercises 20-21, use a system of linear...Ch. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - The sum of the squares of two negative numbers is...Ch. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 - Prob. 51RECh. 9 - Prob. 52RECh. 9 - Prob. 53RECh. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - A fitness instructor wants to mix two brands...Ch. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - Prob. 9TCh. 9 - Prob. 10TCh. 9 - Prob. 11TCh. 9 - Prob. 12TCh. 9 - Prob. 13TCh. 9 - Prob. 14TCh. 9 - Prob. 15TCh. 9 - Prob. 16TCh. 9 - Prob. 17TCh. 9 - Prob. 18TCh. 9 - Prob. 19TCh. 9 - Prob. 20TCh. 9 - Use a system of linear equations in three...Ch. 9 - Prob. 22TCh. 9 - Prob. 23TCh. 9 - Prob. 24TCh. 9 - Prob. 25TCh. 9 - Prob. 26TCh. 9 - Prob. 27TCh. 9 - Prob. 28TCh. 9 - Prob. 29TCh. 9 - Prob. 30TCh. 9 - Prob. 31TCh. 9 - Prob. 32TCh. 9 - Prob. 33TCh. 9 - Prob. 34TCh. 9 - Prob. 35TCh. 9 - Prob. 36TCh. 9 - A weight lifter wants to mix two types of protein...Ch. 9 - Prob. 1CRECh. 9 - Prob. 2CRECh. 9 - Prob. 3CRECh. 9 - Prob. 4CRECh. 9 - Prob. 5CRECh. 9 - Prob. 6CRECh. 9 - Prob. 7CRECh. 9 - Prob. 8CRECh. 9 - Prob. 9CRECh. 9 - Prob. 10CRECh. 9 - Prob. 11CRECh. 9 - Prob. 12CRECh. 9 - Prob. 13CRECh. 9 - Prob. 14CRECh. 9 - Prob. 15CRECh. 9 - Prob. 16CRECh. 9 - Prob. 17CRECh. 9 - Prob. 18CRECh. 9 - Prob. 19CRECh. 9 - Prob. 20CRECh. 9 - Prob. 21CRECh. 9 - Prob. 22CRE
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