Holt Mcdougal Larson Algebra 2: Student Edition 2012

1st Edition

ISBN: 9780547647159

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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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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Expert Solution & Answer

Chapter 3.5, Problem 37PS

Solution

a

To write an equation for the speed v of sound waves in air as a function of temperature C in degree Celsius. Kelvin temperature is related to the Celsius temperature by the formula K=273.15+C .

v=331.5C+273.15273.15

Given information:

The speed v in (meter per second) of sound wave in air depend on the temperature k (in kelvins) and can be modelled by the following equation:

v=331.5k273.15, k≥0

Explanation:

Substitute C+273.15 for k in the given equation:

v=331.5C+273.15273.15

The above equation gives the speed v of sound waves in air as a function of temperature C in degree Celsius.

b

To write the domain and the range for the function from part a .

The domain for the function is x≥0 and the range for the function is y≥0 .

Given information:

The speed v in (meter per second) of sound wave in air depend on the temperature k (in kelvins) and can be modelled by the following equation:

v=331.5k273.15, k≥0

Explanation:

The equation from the part a is:

v=331.5C+273.15273.15

The above equation gives the speed v of sound waves in air as a function of temperature C in degree Celsius.

Since k≥0 , it follows that:

C+273.15≥0

The radicand of the square root must be non-negative:

Therefore, the domain for the function is x≥0 and the range for the function is y≥0 .

Chapter 3.5, Problem 36PS

Chapter 3.5, Problem 38PS

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 - 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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 - 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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 - 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Solution Summary: The author explains how to write an equation for the speed of sound waves in air as a function of temperature C in degree Celsius.

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Chapter 3 Solutions