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High School Math Calculus Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

the time (in years ago) when student B was twice as old as student A.

the time (in years ago) when student B was twice as old as student A.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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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 3.3, Problem 53E

To determine

To find: the time (in years ago) when student B was twice as old as student A.

Expert Solution & Answer

Answer to Problem 53E

10 years ago

Explanation of Solution

Given information:

Age of student A = 15 years

Student B is one third older than student A.

Condition to evaluate time: Age of student B is twice of age of student A.

Calculation:

The present age of student B can be evaluated as follows:

Age of student B=Age of student A+[(13)(Age of student A)]=15+(13)(15)=15+5=20 years

Let x represents years ago. The equations for the age of students x year ago are as follows:

Student A age=15−xStudent B age=2(Age of student A)=2(15−x)

According to the data,

20−x=2(15−x)20−x=30−2x2x−x=30−20x=10

Thus, the time when age of student B was twice of student A is 10 year ago.

Chapter 3.3, Problem 52E

Chapter 3.3, Problem 1MCQ

Chapter 3 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 3.1 - Prob. 1CFU Ch. 3.1 - Prob. 2CFU Ch. 3.1 - Prob. 3CFU Ch. 3.1 - Prob. 4CFU Ch. 3.1 - Prob. 5CFU Ch. 3.1 - Prob. 6CFU Ch. 3.1 - Prob. 7CFU Ch. 3.1 - Prob. 8CFU Ch. 3.1 - Prob. 9CFU Ch. 3.1 - Prob. 10CFU

Ch. 3.1 - Prob. 11CFU Ch. 3.1 - Prob. 12CFU Ch. 3.1 - Prob. 13CFU Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.2 - Prob. 1CFU Ch. 3.2 - Prob. 2CFU Ch. 3.2 - Prob. 3CFU Ch. 3.2 - Prob. 4CFU Ch. 3.2 - Prob. 5CFU Ch. 3.2 - Prob. 6CFU Ch. 3.2 - Prob. 7CFU Ch. 3.2 - Prob. 8CFU Ch. 3.2 - Prob. 9CFU Ch. 3.2 - Prob. 10CFU Ch. 3.2 - Prob. 11CFU Ch. 3.2 - Prob. 12CFU Ch. 3.2 - Prob. 13E Ch. 3.2 - Prob. 14E Ch. 3.2 - Prob. 15E Ch. 3.2 - Prob. 16E Ch. 3.2 - Prob. 17E Ch. 3.2 - Prob. 18E Ch. 3.2 - Prob. 19E Ch. 3.2 - Prob. 20E Ch. 3.2 - Prob. 21E Ch. 3.2 - Prob. 22E Ch. 3.2 - Prob. 23E Ch. 3.2 - Prob. 24E Ch. 3.2 - Prob. 25E Ch. 3.2 - Prob. 26E Ch. 3.2 - Prob. 27E Ch. 3.2 - Prob. 28E Ch. 3.2 - Prob. 29E Ch. 3.2 - Prob. 30E Ch. 3.2 - Prob. 31E Ch. 3.2 - Prob. 32E Ch. 3.2 - Prob. 33E Ch. 3.2 - Prob. 34E Ch. 3.2 - Prob. 35E Ch. 3.2 - Prob. 36E Ch. 3.2 - Prob. 37E Ch. 3.2 - Prob. 38E Ch. 3.2 - Prob. 39E Ch. 3.2 - Prob. 40E Ch. 3.2 - Prob. 41E Ch. 3.2 - Prob. 42E Ch. 3.2 - Prob. 43E Ch. 3.2 - Prob. 44E Ch. 3.2 - Prob. 45E Ch. 3.2 - Prob. 46E Ch. 3.2 - Prob. 47E Ch. 3.2 - Prob. 48E Ch. 3.2 - Prob. 49E Ch. 3.2 - Prob. 50E Ch. 3.2 - Prob. 51E Ch. 3.2 - Prob. 52E Ch. 3.2 - Prob. 53E Ch. 3.3 - Prob. 1CFU Ch. 3.3 - Prob. 2CFU Ch. 3.3 - Prob. 3CFU Ch. 3.3 - Prob. 4CFU Ch. 3.3 - Prob. 5CFU Ch. 3.3 - Prob. 6CFU Ch. 3.3 - Prob. 7CFU Ch. 3.3 - Prob. 8CFU Ch. 3.3 - Prob. 9CFU Ch. 3.3 - Prob. 10CFU Ch. 3.3 - Prob. 11CFU Ch. 3.3 - Prob. 12CFU Ch. 3.3 - Prob. 13E Ch. 3.3 - Prob. 14E Ch. 3.3 - Prob. 15E Ch. 3.3 - Prob. 16E Ch. 3.3 - Prob. 17E Ch. 3.3 - Prob. 18E Ch. 3.3 - Prob. 19E Ch. 3.3 - Prob. 20E Ch. 3.3 - Prob. 21E Ch. 3.3 - Prob. 22E Ch. 3.3 - Prob. 23E Ch. 3.3 - Prob. 24E Ch. 3.3 - Prob. 25E Ch. 3.3 - Prob. 26E Ch. 3.3 - Prob. 27E Ch. 3.3 - Prob. 28E Ch. 3.3 - Prob. 29E Ch. 3.3 - Prob. 30E Ch. 3.3 - Prob. 31E Ch. 3.3 - Prob. 32E Ch. 3.3 - Prob. 33E Ch. 3.3 - Prob. 34E Ch. 3.3 - Prob. 35E Ch. 3.3 - Prob. 36E Ch. 3.3 - Prob. 37E Ch. 3.3 - Prob. 38E Ch. 3.3 - Prob. 39E Ch. 3.3 - Prob. 40E Ch. 3.3 - Prob. 41E Ch. 3.3 - Prob. 42E Ch. 3.3 - Prob. 43E Ch. 3.3 - Prob. 44E Ch. 3.3 - Prob. 45E Ch. 3.3 - Prob. 46E Ch. 3.3 - Prob. 47E Ch. 3.3 - Prob. 48E Ch. 3.3 - Prob. 49E Ch. 3.3 - Prob. 50E Ch. 3.3 - Prob. 51E Ch. 3.3 - Prob. 52E Ch. 3.3 - Prob. 53E Ch. 3.3 - Prob. 1MCQ Ch. 3.3 - Prob. 2MCQ Ch. 3.3 - Prob. 3MCQ Ch. 3.3 - Prob. 4MCQ Ch. 3.3 - Prob. 5MCQ Ch. 3.3 - Prob. 6MCQ Ch. 3.3 - Prob. 7MCQ Ch. 3.3 - Prob. 8MCQ Ch. 3.3 - Prob. 9MCQ Ch. 3.3 - Prob. 10MCQ Ch. 3.4 - Prob. 1CFU Ch. 3.4 - Prob. 2CFU Ch. 3.4 - Prob. 3CFU Ch. 3.4 - Prob. 4CFU Ch. 3.4 - Prob. 5CFU Ch. 3.4 - Prob. 6CFU Ch. 3.4 - Prob. 7CFU Ch. 3.4 - Prob. 8CFU Ch. 3.4 - Prob. 9CFU Ch. 3.4 - Prob. 10CFU Ch. 3.4 - Prob. 11CFU Ch. 3.4 - Prob. 12CFU Ch. 3.4 - Prob. 13CFU Ch. 3.4 - Prob. 14CFU Ch. 3.4 - Prob. 15E Ch. 3.4 - Prob. 16E Ch. 3.4 - Prob. 17E Ch. 3.4 - Prob. 18E Ch. 3.4 - Prob. 19E Ch. 3.4 - Prob. 20E Ch. 3.4 - Prob. 21E Ch. 3.4 - Prob. 22E Ch. 3.4 - Prob. 23E Ch. 3.4 - Prob. 24E Ch. 3.4 - Prob. 25E Ch. 3.4 - Prob. 26E Ch. 3.4 - Prob. 27E Ch. 3.4 - Prob. 28E Ch. 3.4 - Prob. 29E Ch. 3.4 - Prob. 30E Ch. 3.4 - Prob. 31E Ch. 3.4 - Prob. 32E Ch. 3.4 - Prob. 33E Ch. 3.4 - Prob. 34E Ch. 3.4 - Prob. 35E Ch. 3.4 - Prob. 36E Ch. 3.4 - Prob. 37E Ch. 3.4 - Prob. 38E Ch. 3.4 - Prob. 39E Ch. 3.4 - Prob. 40E Ch. 3.4 - Prob. 41E Ch. 3.4 - Prob. 42E Ch. 3.4 - Prob. 43E Ch. 3.4 - Prob. 44E Ch. 3.4 - Prob. 45E Ch. 3.4 - Prob. 46E Ch. 3.4 - Prob. 47E Ch. 3.4 - Prob. 48E Ch. 3.4 - Prob. 49E Ch. 3.4 - Prob. 50E Ch. 3.4 - Prob. 51E Ch. 3.4 - Prob. 52E Ch. 3.4 - Prob. 53E Ch. 3.4 - Prob. 54E Ch. 3.4 - Prob. 55E Ch. 3.4 - Prob. 56E Ch. 3.5 - Prob. 1CFU Ch. 3.5 - Prob. 2CFU Ch. 3.5 - Prob. 3CFU Ch. 3.5 - Prob. 4CFU Ch. 3.5 - Prob. 5CFU Ch. 3.5 - Prob. 6CFU Ch. 3.5 - Prob. 7CFU Ch. 3.5 - Prob. 8CFU Ch. 3.5 - Prob. 9CFU Ch. 3.5 - Prob. 10CFU Ch. 3.5 - Prob. 11CFU Ch. 3.5 - Prob. 12E Ch. 3.5 - Prob. 13E Ch. 3.5 - Prob. 14E Ch. 3.5 - Prob. 15E Ch. 3.5 - Prob. 16E Ch. 3.5 - Prob. 17E Ch. 3.5 - Prob. 18E Ch. 3.5 - Prob. 19E Ch. 3.5 - Prob. 20E Ch. 3.5 - Prob. 21E Ch. 3.5 - Prob. 22E Ch. 3.5 - Prob. 23E Ch. 3.5 - Prob. 24E Ch. 3.5 - Prob. 25E Ch. 3.5 - Prob. 26E Ch. 3.5 - Prob. 27E Ch. 3.5 - Prob. 28E Ch. 3.5 - Prob. 29E Ch. 3.5 - Prob. 30E Ch. 3.5 - Prob. 31E Ch. 3.5 - Prob. 32E Ch. 3.5 - Prob. 33E Ch. 3.5 - Prob. 34E Ch. 3.5 - Prob. 35E Ch. 3.5 - Prob. 36E Ch. 3.5 - Prob. 37E Ch. 3.5 - Prob. 38E Ch. 3.5 - Prob. 39E Ch. 3.5 - Prob. 40E Ch. 3.5 - Prob. 41E Ch. 3.5 - Prob. 42E Ch. 3.5 - Prob. 43E Ch. 3.5 - Prob. 44E Ch. 3.5 - Prob. 45E Ch. 3.5 - Prob. 46E Ch. 3.5B - Prob. 1GCE Ch. 3.5B - Prob. 2GCE Ch. 3.5B - Prob. 3GCE Ch. 3.5B - Prob. 4GCE Ch. 3.5B - Prob. 5GCE Ch. 3.5B - Prob. 6GCE Ch. 3.5B - Prob. 7GCE Ch. 3.5B - Prob. 8GCE Ch. 3.5B - Prob. 9GCE Ch. 3.5B - Prob. 10GCE Ch. 3.5B - Prob. 11GCE Ch. 3.5B - Prob. 12GCE Ch. 3.5B - Prob. 13GCE Ch. 3.5B - Prob. 14GCE Ch. 3.6 - Prob. 1CFU Ch. 3.6 - Prob. 2CFU Ch. 3.6 - Prob. 3CFU Ch. 3.6 - Prob. 4CFU Ch. 3.6 - Prob. 5CFU Ch. 3.6 - Prob. 6CFU Ch. 3.6 - Prob. 7CFU Ch. 3.6 - Prob. 8CFU Ch. 3.6 - Prob. 9CFU Ch. 3.6 - Prob. 10CFU Ch. 3.6 - Prob. 11CFU Ch. 3.6 - Prob. 12CFU Ch. 3.6 - Prob. 13E Ch. 3.6 - Prob. 14E Ch. 3.6 - Prob. 15E Ch. 3.6 - Prob. 16E Ch. 3.6 - Prob. 17E Ch. 3.6 - Prob. 18E Ch. 3.6 - Prob. 19E Ch. 3.6 - Prob. 20E Ch. 3.6 - Prob. 21E Ch. 3.6 - Prob. 22E Ch. 3.6 - Prob. 23E Ch. 3.6 - Prob. 24E Ch. 3.6 - Prob. 25E Ch. 3.6 - Prob. 26E Ch. 3.6 - Prob. 27E Ch. 3.6 - Prob. 28E Ch. 3.6 - Prob. 29E Ch. 3.6 - Prob. 30E Ch. 3.6 - Prob. 31E Ch. 3.6 - Prob. 32E Ch. 3.6 - Prob. 33E Ch. 3.6 - Prob. 34E Ch. 3.6 - Prob. 35E Ch. 3.6 - Prob. 36E Ch. 3.6 - Prob. 37E Ch. 3.6 - Prob. 38E Ch. 3.6 - Prob. 39E Ch. 3.6 - Prob. 40E Ch. 3.6 - Prob. 41E Ch. 3.6 - Prob. 42E Ch. 3.6 - Prob. 43E Ch. 3.6 - Prob. 44E Ch. 3.6 - Prob. 45E Ch. 3.6 - Prob. 46E Ch. 3.6 - Prob. 47E Ch. 3.6 - Prob. 48E Ch. 3.6 - Prob. 49E Ch. 3.6 - Prob. 50E Ch. 3.6 - Prob. 51E Ch. 3.7 - Prob. 1CFU Ch. 3.7 - Prob. 2CFU Ch. 3.7 - Prob. 3CFU Ch. 3.7 - Prob. 4CFU Ch. 3.7 - Prob. 5CFU Ch. 3.7 - Prob. 6CFU Ch. 3.7 - Prob. 7CFU Ch. 3.7 - Prob. 8CFU Ch. 3.7 - Prob. 9CFU Ch. 3.7 - Prob. 10CFU Ch. 3.7 - Prob. 11CFU Ch. 3.7 - Prob. 12CFU Ch. 3.7 - Prob. 13CFU Ch. 3.7 - Prob. 14E Ch. 3.7 - Prob. 15E Ch. 3.7 - Prob. 16E Ch. 3.7 - Prob. 17E Ch. 3.7 - Prob. 18E Ch. 3.7 - Prob. 19E Ch. 3.7 - Prob. 20E Ch. 3.7 - Prob. 21E Ch. 3.7 - Prob. 22E Ch. 3.7 - Prob. 23E Ch. 3.7 - Prob. 24E Ch. 3.7 - Prob. 25E Ch. 3.7 - Prob. 26E Ch. 3.7 - Prob. 27E Ch. 3.7 - Prob. 28E Ch. 3.7 - Prob. 29E Ch. 3.7 - Prob. 30E Ch. 3.7 - Prob. 31E Ch. 3.7 - Prob. 32E Ch. 3.7 - Prob. 33E Ch. 3.7 - Prob. 34E Ch. 3.7 - Prob. 35E Ch. 3.7 - Prob. 36E Ch. 3.7 - Prob. 37E Ch. 3.7 - Prob. 38E Ch. 3.7 - Prob. 39E Ch. 3.7 - Prob. 40E Ch. 3.7 - Prob. 41E Ch. 3.7 - Prob. 42E Ch. 3.7 - Prob. 43E Ch. 3.7 - Prob. 44E Ch. 3.7 - Prob. 45E Ch. 3.7 - Prob. 46E Ch. 3.7 - Prob. 47E Ch. 3.7 - Prob. 48E Ch. 3.7 - Prob. 49E Ch. 3.7 - Prob. 50E Ch. 3.7 - Prob. 51E Ch. 3.7 - Prob. 52E Ch. 3.7 - Prob. 53E Ch. 3.7 - Prob. 54E Ch. 3.7 - Prob. 55E Ch. 3.7 - Prob. 56E Ch. 3.8 - Prob. 1CFU Ch. 3.8 - Prob. 2CFU Ch. 3.8 - Prob. 3CFU Ch. 3.8 - Prob. 4CFU Ch. 3.8 - Prob. 5CFU Ch. 3.8 - Prob. 6CFU Ch. 3.8 - Prob. 7CFU Ch. 3.8 - Prob. 8CFU Ch. 3.8 - Prob. 9CFU Ch. 3.8 - Prob. 10CFU Ch. 3.8 - Prob. 11CFU Ch. 3.8 - Prob. 12CFU Ch. 3.8 - Prob. 13E Ch. 3.8 - Prob. 14E Ch. 3.8 - Prob. 15E Ch. 3.8 - Prob. 16E Ch. 3.8 - Prob. 17E Ch. 3.8 - Prob. 18E Ch. 3.8 - Prob. 19E Ch. 3.8 - Prob. 20E Ch. 3.8 - Prob. 21E Ch. 3.8 - Prob. 22E Ch. 3.8 - Prob. 23E Ch. 3.8 - Prob. 24E Ch. 3.8 - Prob. 25E Ch. 3.8 - Prob. 26E Ch. 3.8 - Prob. 27E Ch. 3.8 - Prob. 28E Ch. 3.8 - Prob. 29E Ch. 3.8 - Prob. 30E Ch. 3.8 - Prob. 31E Ch. 3.8 - Prob. 32E Ch. 3.8 - Prob. 33E Ch. 3.8 - Prob. 34E Ch. 3.8 - Prob. 35E Ch. 3.8 - Prob. 36E Ch. 3.8 - Prob. 37E Ch. 3.8 - Prob. 38E Ch. 3.8 - Prob. 39E Ch. 3 - Prob. 1SGA Ch. 3 - Prob. 2SGA Ch. 3 - Prob. 3SGA Ch. 3 - Prob. 4SGA Ch. 3 - Prob. 5SGA Ch. 3 - Prob. 6SGA Ch. 3 - Prob. 7SGA Ch. 3 - Prob. 8SGA Ch. 3 - Prob. 9SGA Ch. 3 - Prob. 10SGA Ch. 3 - Prob. 11SGA Ch. 3 - Prob. 12SGA Ch. 3 - Prob. 13SGA Ch. 3 - Prob. 14SGA Ch. 3 - Prob. 15SGA Ch. 3 - Prob. 16SGA Ch. 3 - Prob. 17SGA Ch. 3 - Prob. 18SGA Ch. 3 - Prob. 19SGA Ch. 3 - Prob. 20SGA Ch. 3 - Prob. 21SGA Ch. 3 - Prob. 22SGA Ch. 3 - Prob. 23SGA Ch. 3 - Prob. 24SGA Ch. 3 - Prob. 25SGA Ch. 3 - Prob. 26SGA Ch. 3 - Prob. 27SGA Ch. 3 - Prob. 28SGA Ch. 3 - Prob. 29SGA Ch. 3 - Prob. 30SGA Ch. 3 - Prob. 31SGA Ch. 3 - Prob. 32SGA Ch. 3 - Prob. 33SGA Ch. 3 - Prob. 34SGA Ch. 3 - Prob. 35SGA Ch. 3 - Prob. 36SGA Ch. 3 - Prob. 37SGA Ch. 3 - Prob. 38SGA Ch. 3 - Prob. 39SGA Ch. 3 - Prob. 40SGA Ch. 3 - Prob. 41SGA Ch. 3 - Prob. 42SGA Ch. 3 - Prob. 43SGA Ch. 3 - Prob. 44SGA Ch. 3 - Prob. 45SGA Ch. 3 - Prob. 46SGA Ch. 3 - Prob. 47SGA Ch. 3 - Prob. 48SGA Ch. 3 - Prob. 49SGA Ch. 3 - Prob. 50SGA Ch. 3 - Prob. 51SGA Ch. 3 - Prob. 52SGA Ch. 3 - Prob. 53SGA Ch. 3 - Prob. 54SGA Ch. 3 - Prob. 55SGA Ch. 3 - Prob. 56SGA Ch. 3 - Prob. 57SGA Ch. 3 - Prob. 58SGA Ch. 3 - Prob. 59SGA Ch. 3 - Prob. 60SGA Ch. 3 - Prob. 61SGA Ch. 3 - Prob. 1SAP Ch. 3 - Prob. 2SAP Ch. 3 - Prob. 3SAP Ch. 3 - Prob. 4SAP Ch. 3 - Prob. 5SAP Ch. 3 - Prob. 6SAP Ch. 3 - Prob. 7SAP Ch. 3 - Prob. 8SAP Ch. 3 - Prob. 9SAP Ch. 3 - Prob. 10SAP

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