Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 5.6, Problem 63E

To determine

Tofind: the inverse function .

Expert Solution

Answer to Problem 63E

The inverse function is F=95C+32 .

Explanation of Solution

Given information:

the function is C=59(F−32) .

Calculation: to find the inverse function, switch the variables and simplify,

C=59(F−32)(F−32)=95C [cross multiplication]F=95C+32 [simplify]

The inverse function represents the Celsius temperature into Fahrenheit.

To determine

To find: the Fahrenheit temperatures at the start and end of the race.

Expert Solution

Answer to Problem 63E

The temperature at the starting and ending of the race is 41∘F and 14∘F .

Explanation of Solution

Given information:

The functions are C=59(F−32) and F=95C+32 .

Calculation:since, the temperature was 5∘C in the starting of the race, to find the temperature in Fahrenheit substitute in the inverse function and simplify

F=95C+32F=95(5)+32 [substitute]F=9+32 [simplify]F=41

since, the temperature was −10∘C in the end of the race, to find the temperature in Fahrenheit substitute in the inverse function and simplify

F=95C+32F=95(−10)+32 [substitute]F=−18+32 [simplify]F=14

Thus, the temperature at the starting and ending of the race is 41∘F and 14∘F .

To determine

To graph :the function and inverse function by using graphing calcualtor.

Expert Solution

Explanation of Solution

Given information:

The functions are C=59(F−32) and F=95C+32 .

Graph: Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expression 59(x−32),95x+32 which is required to graph.

Step 4: Press GRAPH button to graph the function.

The graph is obtained as:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 5.6, Problem 63E

Interpretation: from the above graph it can be observed thatat the temperature −40∘ both temperature scales are same.

Chapter 5.6, Problem 62E

Chapter 5.6, Problem 64E

Chapter 5 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E

Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.2 - Prob. 1E Ch. 5.2 - Prob. 2E Ch. 5.2 - 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