Holt Mcdougal Larson Algebra 2: Student Edition 2012

1st Edition

ISBN: 9780547647159

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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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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Expert Solution & Answer

Chapter 3.3, Problem 45PS

Solution

(a)

Use composition of functions to find the sale price of $85 worth of DVDs when the $15 discount is applied before the 10% discount.

$63

Given:

An online movie store is having a sale. You decided to open a charge account and buy four DVDs.

Concept Used:

The composition function f∘g can be found by replacing x by gx in the function fx

The domain of a function y=fx is the set of all x values for which the function is defined.

A rational function y=fx is undefined for the values of x , for which the denominator is zero.

A radical function is defined for positive values greater than or equal to zero.

Zero product property: if a⋅b=0 then a=0 or b=0

Calculation:

According to given diagram

Sale price x = $85

For $15 discount: f(x) = x -15

For 10% discount: g(x) = x-0.1x

If the $15 discount is applied before the 10% discount.

g(f(x))=g(f(85)) =g(85−15) =g(70) =70−0.1(70) =70−7 =63

So the sale price of $85 worth of DVDs when the $15 discount is applied before the 10% discount = $63.

(b)

Use composition of functions to find the sale price of $85 worth of DVDs when the 10% discount is applied before the $15 discount.

61.5$

Given:

An online movie store is having a sale. You decided to open a charge account and buy four DVDs.

Concept Used:

The composition function f∘g can be found by replacing x by gx in the function fx

The domain of a function y=fx is the set of all x values for which the function is defined.

A rational function y=fx is undefined for the values of x , for which the denominator is zero.

A radical function is defined for positive values greater than or equal to zero.

Zero product property: if a⋅b=0 then a=0 or b=0

Calculation:

According to given diagram

Sale price x = $85

For $15 discount: f(x) = x -15

For 10% discount: g(x) = x-0.1x

If the 10% discount is applied before the $15 discount.

f(g(x))=f(g(85)) =f(85−0.1(85)) =f(85−8.5) =f(76.5) =76.5−15 =61.5

So the sale price of $85 worth of DVDs when the 10% discount is applied before the $15 discount = $61.5

(c)

Which order of discounts gives you a better deal? Explain.

The 10% discount is applied before the $15 discount.

Given:

An online movie store is having a sale. You decided to open a charge account and buy four DVDs.

Concept Used:

The composition function f∘g can be found by replacing x by gx in the function fx

The domain of a function y=fx is the set of all x values for which the function is defined.

A rational function y=fx is undefined for the values of x , for which the denominator is zero.

A radical function is defined for positive values greater than or equal to zero.

Zero product property: if a⋅b=0 then a=0 or b=0

Calculation:

If the $15 discount is applied before the 10% discount then the sale price of $85 worth of DVDs = $63.

If the 10% discount is applied before the $15 discount then the sale price of $85 worth of DVDs = $61.5

So we will get a better deal if the 10% discount is applied before the $15 discount.

i.e. $63-$61.5=$1.5 more discount.

So apply the 10% discount is applied before the $15 discount.

Chapter 3.3, Problem 44PS

Chapter 3.3, Problem 46PS

Chapter 3 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

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

Ch. 3.1 - Prob. 11GP Ch. 3.1 - Prob. 12GP Ch. 3.1 - Prob. 13GP Ch. 3.1 - Prob. 14GP Ch. 3.1 - Prob. 15GP Ch. 3.1 - Prob. 16GP Ch. 3.1 - Prob. 17GP Ch. 3.1 - Prob. 18GP Ch. 3.1 - Prob. 19GP Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E 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. 3.1 - Prob. 51E Ch. 3.1 - Prob. 52E Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60PS Ch. 3.1 - Prob. 61PS Ch. 3.1 - Prob. 62PS Ch. 3.1 - Prob. 63PS Ch. 3.1 - Prob. 64PS Ch. 3.1 - Prob. 65PS Ch. 3.1 - Prob. 66PS Ch. 3.2 - Prob. 1GP Ch. 3.2 - Prob. 2GP Ch. 3.2 - Prob. 3GP Ch. 3.2 - Prob. 4GP Ch. 3.2 - Prob. 5GP Ch. 3.2 - Prob. 6GP Ch. 3.2 - Prob. 7GP Ch. 3.2 - Prob. 8GP Ch. 3.2 - Prob. 9GP Ch. 3.2 - Prob. 10GP Ch. 3.2 - Prob. 11GP Ch. 3.2 - Prob. 12GP Ch. 3.2 - Prob. 13GP Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Prob. 3E Ch. 3.2 - Prob. 4E Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - Prob. 7E Ch. 3.2 - Prob. 8E Ch. 3.2 - Prob. 9E Ch. 3.2 - Prob. 10E Ch. 3.2 - Prob. 11E Ch. 3.2 - Prob. 12E Ch. 3.2 - 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Prob. 9GP Ch. 3.3 - Prob. 10GP Ch. 3.3 - Prob. 11GP Ch. 3.3 - Prob. 12GP Ch. 3.3 - Prob. 13GP Ch. 3.3 - Prob. 1E Ch. 3.3 - Prob. 2E Ch. 3.3 - Prob. 3E Ch. 3.3 - Prob. 4E Ch. 3.3 - Prob. 5E Ch. 3.3 - Prob. 6E Ch. 3.3 - Prob. 7E Ch. 3.3 - Prob. 8E Ch. 3.3 - Prob. 9E Ch. 3.3 - Prob. 10E Ch. 3.3 - Prob. 11E Ch. 3.3 - Prob. 12E 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. 43PS Ch. 3.3 - Prob. 44PS Ch. 3.3 - Prob. 45PS Ch. 3.3 - Prob. 46PS Ch. 3.3 - Prob. 47PS Ch. 3.3 - Prob. 1P Ch. 3.3 - Prob. 2P Ch. 3.3 - Prob. 3P Ch. 3.3 - Prob. 4P Ch. 3.3 - Prob. 1MRPS Ch. 3.3 - Prob. 2MRPS Ch. 3.3 - Prob. 3MRPS Ch. 3.3 - Prob. 4MRPS Ch. 3.3 - Prob. 5MRPS Ch. 3.3 - Prob. 6MRPS Ch. 3.3 - Prob. 7MRPS Ch. 3.3 - Prob. 1DC Ch. 3.3 - Prob. 2DC Ch. 3.3 - Prob. 3DC Ch. 3.4 - Prob. 1GP Ch. 3.4 - Prob. 2GP Ch. 3.4 - Prob. 3GP Ch. 3.4 - Prob. 4GP Ch. 3.4 - Prob. 5GP Ch. 3.4 - Prob. 6GP Ch. 3.4 - Prob. 7GP Ch. 3.4 - Prob. 8GP Ch. 3.4 - Prob. 9GP Ch. 3.4 - Prob. 10GP Ch. 3.4 - Prob. 11GP Ch. 3.4 - Prob. 1E Ch. 3.4 - Prob. 2E Ch. 3.4 - Prob. 3E Ch. 3.4 - Prob. 4E Ch. 3.4 - Prob. 5E Ch. 3.4 - Prob. 6E Ch. 3.4 - Prob. 7E Ch. 3.4 - Prob. 8E Ch. 3.4 - Prob. 9E Ch. 3.4 - Prob. 10E Ch. 3.4 - Prob. 11E Ch. 3.4 - Prob. 12E Ch. 3.4 - Prob. 13E Ch. 3.4 - Prob. 14E 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 - 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Prob. 6GP Ch. 3.5 - Prob. 7GP Ch. 3.5 - Prob. 8GP Ch. 3.5 - Prob. 9GP Ch. 3.5 - Prob. 10GP Ch. 3.5 - Prob. 11GP Ch. 3.5 - Prob. 1E Ch. 3.5 - Prob. 2E Ch. 3.5 - Prob. 3E Ch. 3.5 - Prob. 4E Ch. 3.5 - Prob. 5E Ch. 3.5 - Prob. 6E Ch. 3.5 - Prob. 7E Ch. 3.5 - Prob. 8E Ch. 3.5 - Prob. 9E Ch. 3.5 - Prob. 10E Ch. 3.5 - Prob. 11E 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. 35PS Ch. 3.5 - Prob. 36PS Ch. 3.5 - Prob. 37PS Ch. 3.5 - Prob. 38PS Ch. 3.5 - Prob. 39PS Ch. 3.5 - Prob. 40PS Ch. 3.6 - Prob. 1GP Ch. 3.6 - Prob. 2GP Ch. 3.6 - Prob. 3GP Ch. 3.6 - Prob. 4GP Ch. 3.6 - Prob. 5GP Ch. 3.6 - Prob. 6GP Ch. 3.6 - Prob. 7GP Ch. 3.6 - Prob. 8GP Ch. 3.6 - Prob. 9GP Ch. 3.6 - Prob. 10GP Ch. 3.6 - Prob. 11GP Ch. 3.6 - Prob. 12GP Ch. 3.6 - Prob. 13GP Ch. 3.6 - Prob. 14GP Ch. 3.6 - Prob. 1E Ch. 3.6 - Prob. 2E Ch. 3.6 - Prob. 3E Ch. 3.6 - Prob. 4E Ch. 3.6 - Prob. 5E Ch. 3.6 - Prob. 6E Ch. 3.6 - Prob. 7E Ch. 3.6 - Prob. 8E Ch. 3.6 - Prob. 9E Ch. 3.6 - Prob. 10E Ch. 3.6 - Prob. 11E Ch. 3.6 - Prob. 12E 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. 3.6 - Prob. 52E Ch. 3.6 - Prob. 53E Ch. 3.6 - Prob. 54E Ch. 3.6 - Prob. 55E Ch. 3.6 - Prob. 56PS Ch. 3.6 - Prob. 57PS Ch. 3.6 - Prob. 58PS Ch. 3.6 - Prob. 59PS Ch. 3.6 - Prob. 60PS Ch. 3.6 - Prob. 61PS Ch. 3.6 - Prob. 62PS Ch. 3.6 - Prob. 1Q Ch. 3.6 - Prob. 2Q Ch. 3.6 - Prob. 3Q Ch. 3.6 - Prob. 4Q Ch. 3.6 - Prob. 5Q Ch. 3.6 - Prob. 6Q Ch. 3.6 - Prob. 7Q Ch. 3.6 - Prob. 8Q Ch. 3.6 - Prob. 9Q Ch. 3.6 - Prob. 10Q Ch. 3.6 - Prob. 11Q Ch. 3.6 - Prob. 12Q Ch. 3.6 - Prob. 13Q Ch. 3.6 - Prob. 1P Ch. 3.6 - Prob. 2P Ch. 3.6 - Prob. 3P Ch. 3.6 - Prob. 4P Ch. 3.6 - Prob. 5P Ch. 3.6 - Prob. 6P Ch. 3.6 - Prob. 7P Ch. 3.6 - Prob. 1.1P Ch. 3.6 - Prob. 1.2P Ch. 3.6 - Prob. 1.3P Ch. 3.6 - Prob. 1.4P Ch. 3.6 - Prob. 1.5P Ch. 3.6 - Prob. 1.6P Ch. 3.6 - Prob. 1.7P Ch. 3.6 - Prob. 1.8P Ch. 3.6 - Prob. 1.9P Ch. 3.6 - Prob. 1.10P Ch. 3.6 - Prob. 1.11P Ch. 3.6 - Prob. 1.12P Ch. 3.6 - Prob. 1.13P Ch. 3.6 - Prob. 1MRPS Ch. 3.6 - Prob. 2MRPS Ch. 3.6 - Prob. 3MRPS Ch. 3.6 - Prob. 4MRPS Ch. 3.6 - Prob. 5MRPS Ch. 3.6 - Prob. 6MRPS Ch. 3.6 - Prob. 7MRPS Ch. 3.6 - Prob. 8MRPS Ch. 3.6 - Prob. 9MRPS Ch. 3 - Prob. 1VE Ch. 3 - Prob. 2VE Ch. 3 - Prob. 3VE Ch. 3 - Prob. 4VE Ch. 3 - Prob. 5VE Ch. 3 - Prob. 6VE Ch. 3 - Prob. 7VE Ch. 3 - Prob. 8REAE Ch. 3 - Prob. 9REAE Ch. 3 - Prob. 10REAE Ch. 3 - Prob. 11REAE Ch. 3 - Prob. 12REAE Ch. 3 - Prob. 13REAE Ch. 3 - Prob. 14REAE Ch. 3 - Prob. 15REAE Ch. 3 - Prob. 16REAE Ch. 3 - Prob. 17REAE Ch. 3 - Prob. 18REAE Ch. 3 - Prob. 19REAE Ch. 3 - Prob. 20REAE Ch. 3 - Prob. 21REAE Ch. 3 - Prob. 22REAE Ch. 3 - Prob. 23REAE Ch. 3 - Prob. 24REAE Ch. 3 - Prob. 25REAE Ch. 3 - Prob. 26REAE Ch. 3 - Prob. 27REAE Ch. 3 - Prob. 28REAE Ch. 3 - Prob. 29REAE Ch. 3 - Prob. 30REAE Ch. 3 - Prob. 31REAE Ch. 3 - Prob. 32REAE Ch. 3 - Prob. 1T Ch. 3 - Prob. 2T Ch. 3 - Prob. 3T Ch. 3 - Prob. 4T Ch. 3 - Prob. 5T Ch. 3 - Prob. 6T Ch. 3 - Prob. 7T Ch. 3 - Prob. 8T Ch. 3 - Prob. 9T Ch. 3 - Prob. 10T Ch. 3 - Prob. 11T Ch. 3 - Prob. 12T Ch. 3 - Prob. 13T Ch. 3 - Prob. 14T Ch. 3 - Prob. 15T Ch. 3 - Prob. 16T Ch. 3 - Prob. 17T Ch. 3 - Prob. 18T Ch. 3 - Prob. 19T Ch. 3 - Prob. 20T Ch. 3 - Prob. 21T Ch. 3 - Prob. 22T Ch. 3 - Prob. 23T Ch. 3 - Prob. 24T Ch. 3 - Prob. 25T Ch. 3 - Prob. 26T Ch. 3 - Prob. 27T Ch. 3 - Prob. 28T Ch. 3 - Prob. 29T Ch. 3 - Prob. 30T Ch. 3 - Prob. 31T Ch. 3 - Prob. 32T Ch. 3 - Prob. 33T Ch. 3 - Prob. 34T Ch. 3 - Prob. 35T Ch. 3 - Prob. 36T Ch. 3 - Prob. 37T Ch. 3 - Prob. 38T Ch. 3 - Prob. 1P Ch. 3 - Prob. 2P Ch. 3 - Prob. 1TP Ch. 3 - Prob. 2TP Ch. 3 - Prob. 3TP Ch. 3 - Prob. 4TP Ch. 3 - Prob. 5TP Ch. 3 - Prob. 6TP Ch. 3 - Prob. 7TP Ch. 3 - Prob. 8TP Ch. 3 - Prob. 9TP Ch. 3 - Prob. 10TP Ch. 3 - Prob. 11TP Ch. 3 - Prob. 12TP Ch. 3 - Prob. 13TP Ch. 3 - Prob. 14TP Ch. 3 - Prob. 15TP Ch. 3 - Prob. 16TP Ch. 3 - Prob. 17TP Ch. 3 - Prob. 18TP Ch. 3 - Prob. 19TP Ch. 3 - Prob. 20TP

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Solution Summary: The author analyzes the composition of functions to find the sale price of 85 worth of DVDs when the 15 discount is applied before the 10% discount.

Concept explainers

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Chapter 3 Solutions