Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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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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Question
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Chapter 2.6, Problem 31PPS

a.

To determine

Write an absolute value function for the difference between the car’s actual speed a and the reading on the speedometer.

a.

Expert Solution
Check Mark

Answer to Problem 31PPS

  f(a)=|a−60|

Explanation of Solution

Given information:

A car speedometer reads 60 miles an hour. Write an absolute value function for the difference between the car’s actual speed a and the reading on the speedometer.

Calculation:

Consider a car speedometer reads 60 miles an hour.

Write an absolute value function for the difference between the car’s actual speed a and the reading on the speedometer,

  f(a)=|a−60|

Hence,the absolute value function for the difference between the car’s actual speed a and the reading on the speedometer is f(a)=|a−60| .

b.

To determine

What is an appropriate domain for the function?

b.

Expert Solution
Check Mark

Answer to Problem 31PPS

Domain is {a|a≥0} .

Explanation of Solution

Given information:

A car speedometer reads 60 miles an hour. What is an appropriate domain for the function? Explain your reasoning.

Calculation:

We know that speed is always positive,

  Speed=distancetime

So that speed cannot be negative.

Hence the domain is, {a|a≥0}

c.

To determine

Use the domain to graph the function.

c.

Expert Solution
Check Mark

Answer to Problem 31PPS

  Algebra 2, Chapter 2.6, Problem 31PPS , additional homework tip 1

Explanation of Solution

Given information:

A car speedometer reads 60 miles an hour. Use the domain to graph the function.

Calculation:

Create a table.

  a020406080f(a)604020020

Use maple to graph the function.

  Algebra 2, Chapter 2.6, Problem 31PPS , additional homework tip 2

Hence the graph is as shown,

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Chapter 2.6, Problem 30PPS
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Chapter 2.6, Problem 32PPS

Chapter 2 Solutions

Algebra 2

Ch. 2.1 - Prob. 1ACYPCh. 2.1 - Prob. 1BCYPCh. 2.1 - Prob. 2CYPCh. 2.1 - Prob. 3CYPCh. 2.1 - Prob. 4ACYPCh. 2.1 - Prob. 4BCYPCh. 2.1 - Prob. 1CYUCh. 2.1 - Prob. 2CYUCh. 2.1 - Prob. 3CYUCh. 2.1 - Prob. 4CYU
Ch. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11PPSCh. 2.1 - Prob. 12PPSCh. 2.1 - Prob. 13PPSCh. 2.1 - Prob. 14PPSCh. 2.1 - Prob. 15PPSCh. 2.1 - Prob. 16PPSCh. 2.1 - Prob. 17PPSCh. 2.1 - Prob. 18PPSCh. 2.1 - Prob. 19PPSCh. 2.1 - Prob. 20PPSCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35HPCh. 2.1 - Prob. 36HPCh. 2.1 - Prob. 37HPCh. 2.1 - Prob. 38HPCh. 2.1 - Prob. 39HPCh. 2.1 - Prob. 40HPCh. 2.1 - Prob. 41HPCh. 2.1 - Prob. 42HPCh. 2.1 - Prob. 43HPCh. 2.1 - Prob. 44HPCh. 2.1 - Prob. 45STPCh. 2.1 - Prob. 46STPCh. 2.1 - Prob. 47STPCh. 2.1 - Prob. 48STPCh. 2.1 - Prob. 49STPCh. 2.1 - Prob. 50STPCh. 2.1 - Prob. 51STPCh. 2.1 - Prob. 52STPCh. 2.1 - 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Prob. 76SCh. 2.2 - Prob. 1ECh. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.3 - Prob. 1CYPCh. 2.3 - Prob. 2CYPCh. 2.3 - Prob. 3ACYPCh. 2.3 - Prob. 3BCYPCh. 2.3 - Prob. 4ACYPCh. 2.3 - Prob. 4BCYPCh. 2.3 - Prob. 1CYUCh. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3CYUCh. 2.3 - Prob. 4CYUCh. 2.3 - Prob. 5CYUCh. 2.3 - Prob. 6CYUCh. 2.3 - Prob. 7CYUCh. 2.3 - Prob. 8CYUCh. 2.3 - Prob. 9PPSCh. 2.3 - Prob. 10PPSCh. 2.3 - Prob. 11PPSCh. 2.3 - Prob. 12PPSCh. 2.3 - Prob. 13PPSCh. 2.3 - Prob. 14PPSCh. 2.3 - Prob. 15PPSCh. 2.3 - Prob. 16PPSCh. 2.3 - Prob. 17PPSCh. 2.3 - Prob. 18PPSCh. 2.3 - Prob. 19PPSCh. 2.3 - Prob. 20PPSCh. 2.3 - Prob. 21PPSCh. 2.3 - Prob. 22PPSCh. 2.3 - Prob. 23PPSCh. 2.3 - Prob. 24PPSCh. 2.3 - Prob. 25PPSCh. 2.3 - Prob. 26PPSCh. 2.3 - Prob. 27PPSCh. 2.3 - Prob. 28PPSCh. 2.3 - Prob. 29PPSCh. 2.3 - Prob. 30PPSCh. 2.3 - Prob. 31PPSCh. 2.3 - Prob. 32PPSCh. 2.3 - Prob. 33PPSCh. 2.3 - Prob. 34PPSCh. 2.3 - Prob. 35PPSCh. 2.3 - Prob. 36HPCh. 2.3 - Prob. 37HPCh. 2.3 - 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Prob. 5PPSCh. 2.5 - Prob. 6PPSCh. 2.5 - Prob. 7PPSCh. 2.5 - Prob. 8PPSCh. 2.5 - Prob. 9PPSCh. 2.5 - Prob. 10PPSCh. 2.5 - Prob. 11PPSCh. 2.5 - Prob. 12HPCh. 2.5 - Prob. 13HPCh. 2.5 - Prob. 14HPCh. 2.5 - Prob. 15HPCh. 2.5 - Prob. 16HPCh. 2.5 - Prob. 17HPCh. 2.5 - Prob. 18HPCh. 2.5 - Prob. 19HPCh. 2.5 - Prob. 20HPCh. 2.5 - Prob. 21STPCh. 2.5 - Prob. 22STPCh. 2.5 - Prob. 23STPCh. 2.5 - Prob. 24STPCh. 2.5 - Prob. 25STPCh. 2.5 - Prob. 26STPCh. 2.5 - Prob. 27STPCh. 2.5 - Prob. 28STPCh. 2.5 - Prob. 29STPCh. 2.5 - Prob. 30SCh. 2.5 - Prob. 31SCh. 2.5 - Prob. 32SCh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.6 - Prob. 1CYPCh. 2.6 - Prob. 2ACYPCh. 2.6 - Prob. 2BCYPCh. 2.6 - Prob. 3CYPCh. 2.6 - Prob. 4ACYPCh. 2.6 - Prob. 4BCYPCh. 2.6 - Prob. 1CYUCh. 2.6 - Prob. 2CYUCh. 2.6 - Prob. 3CYUCh. 2.6 - Prob. 4CYUCh. 2.6 - Prob. 5CYUCh. 2.6 - Prob. 6CYUCh. 2.6 - Prob. 7CYUCh. 2.6 - Prob. 8CYUCh. 2.6 - Prob. 9CYUCh. 2.6 - Prob. 10CYUCh. 2.6 - Prob. 11CYUCh. 2.6 - Prob. 12PPSCh. 2.6 - Prob. 13PPSCh. 2.6 - Prob. 14PPSCh. 2.6 - Prob. 15PPSCh. 2.6 - Prob. 16PPSCh. 2.6 - Prob. 17PPSCh. 2.6 - Prob. 18PPSCh. 2.6 - Prob. 19PPSCh. 2.6 - Prob. 20PPSCh. 2.6 - Prob. 21PPSCh. 2.6 - Prob. 22PPSCh. 2.6 - Prob. 23PPSCh. 2.6 - Prob. 24PPSCh. 2.6 - Prob. 25PPSCh. 2.6 - Prob. 26PPSCh. 2.6 - Prob. 27PPSCh. 2.6 - Prob. 28PPSCh. 2.6 - Prob. 29PPSCh. 2.6 - Prob. 30PPSCh. 2.6 - Prob. 31PPSCh. 2.6 - Prob. 32PPSCh. 2.6 - Prob. 33PPSCh. 2.6 - Prob. 34PPSCh. 2.6 - Prob. 35PPSCh. 2.6 - Prob. 36PPSCh. 2.6 - Prob. 37PPSCh. 2.6 - Prob. 38PPSCh. 2.6 - Prob. 39PPSCh. 2.6 - Prob. 40HPCh. 2.6 - Prob. 41HPCh. 2.6 - Prob. 42HPCh. 2.6 - Prob. 43HPCh. 2.6 - Prob. 44HPCh. 2.6 - Prob. 45HPCh. 2.6 - Prob. 46HPCh. 2.6 - Prob. 47HPCh. 2.6 - Prob. 48HPCh. 2.6 - Prob. 49STPCh. 2.6 - Prob. 50STPCh. 2.6 - Prob. 51STPCh. 2.6 - Prob. 52STPCh. 2.6 - Prob. 53STPCh. 2.6 - Prob. 54STPCh. 2.6 - Prob. 55STPCh. 2.6 - Prob. 56STPCh. 2.6 - Prob. 57SCh. 2.6 - Prob. 58SCh. 2.6 - Prob. 59SCh. 2.7 - Prob. 1ACYPCh. 2.7 - Prob. 1BCYPCh. 2.7 - Prob. 2ACYPCh. 2.7 - Prob. 2BCYPCh. 2.7 - Prob. 3ACYPCh. 2.7 - Prob. 3BCYPCh. 2.7 - Prob. 4ACYPCh. 2.7 - Prob. 4BCYPCh. 2.7 - Prob. 5CYPCh. 2.7 - Prob. 1CYUCh. 2.7 - Prob. 2CYUCh. 2.7 - Prob. 3CYUCh. 2.7 - Prob. 4CYUCh. 2.7 - Prob. 5CYUCh. 2.7 - Prob. 6CYUCh. 2.7 - Prob. 7CYUCh. 2.7 - Prob. 8CYUCh. 2.7 - Prob. 9CYUCh. 2.7 - Prob. 10PPSCh. 2.7 - Prob. 11PPSCh. 2.7 - Prob. 12PPSCh. 2.7 - Prob. 13PPSCh. 2.7 - Prob. 14PPSCh. 2.7 - Prob. 15PPSCh. 2.7 - Prob. 16PPSCh. 2.7 - Prob. 17PPSCh. 2.7 - Prob. 18PPSCh. 2.7 - Prob. 19PPSCh. 2.7 - Prob. 20PPSCh. 2.7 - Prob. 21PPSCh. 2.7 - Prob. 22PPSCh. 2.7 - Prob. 23PPSCh. 2.7 - Prob. 24PPSCh. 2.7 - Prob. 25PPSCh. 2.7 - Prob. 26PPSCh. 2.7 - Prob. 27PPSCh. 2.7 - Prob. 28PPSCh. 2.7 - Prob. 29PPSCh. 2.7 - Prob. 30PPSCh. 2.7 - Prob. 31PPSCh. 2.7 - Prob. 32PPSCh. 2.7 - Prob. 33PPSCh. 2.7 - Prob. 34PPSCh. 2.7 - Prob. 35PPSCh. 2.7 - Prob. 36PPSCh. 2.7 - Prob. 37PPSCh. 2.7 - Prob. 38PPSCh. 2.7 - Prob. 39PPSCh. 2.7 - Prob. 40PPSCh. 2.7 - Prob. 41PPSCh. 2.7 - Prob. 42PPSCh. 2.7 - 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Prob. 16QCCh. 2 - Prob. 1MCQCh. 2 - Prob. 2MCQCh. 2 - Prob. 3MCQCh. 2 - Prob. 4MCQCh. 2 - Prob. 5MCQCh. 2 - Prob. 6MCQCh. 2 - Prob. 7MCQCh. 2 - Prob. 8MCQCh. 2 - Prob. 9MCQCh. 2 - Prob. 10MCQCh. 2 - Prob. 11MCQCh. 2 - Prob. 12MCQCh. 2 - Prob. 13MCQCh. 2 - Prob. 14MCQCh. 2 - Prob. 15MCQCh. 2 - Prob. 16MCQCh. 2 - Prob. 17MCQCh. 2 - Prob. 18MCQCh. 2 - Prob. 19MCQCh. 2 - Prob. 20MCQCh. 2 - Prob. 21MCQCh. 2 - Prob. 22MCQCh. 2 - Prob. 23MCQCh. 2 - Prob. 24MCQCh. 2 - Prob. 25MCQCh. 2 - Prob. 1SGRCh. 2 - Prob. 2SGRCh. 2 - Prob. 3SGRCh. 2 - Prob. 4SGRCh. 2 - Prob. 5SGRCh. 2 - Prob. 6SGRCh. 2 - Prob. 7SGRCh. 2 - Prob. 8SGRCh. 2 - Prob. 9SGRCh. 2 - Prob. 10SGRCh. 2 - Prob. 11SGRCh. 2 - Prob. 12SGRCh. 2 - Prob. 13SGRCh. 2 - Prob. 14SGRCh. 2 - Prob. 15SGRCh. 2 - Prob. 16SGRCh. 2 - Prob. 17SGRCh. 2 - Prob. 18SGRCh. 2 - Prob. 19SGRCh. 2 - Prob. 20SGRCh. 2 - Prob. 21SGRCh. 2 - Prob. 22SGRCh. 2 - Prob. 23SGRCh. 2 - Prob. 24SGRCh. 2 - Prob. 25SGRCh. 2 - Prob. 26SGRCh. 2 - Prob. 27SGRCh. 2 - Prob. 28SGRCh. 2 - 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Prob. 2ECh. 2 - Prob. 1STPCh. 2 - Prob. 2STPCh. 2 - Prob. 3STPCh. 2 - Prob. 4STPCh. 2 - Prob. 5STPCh. 2 - Prob. 6STPCh. 2 - Prob. 7STPCh. 2 - Prob. 8STPCh. 2 - Prob. 9STPCh. 2 - Prob. 10STPCh. 2 - Prob. 11STPCh. 2 - Prob. 12STP

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