Explanation Given: The function F converts a temperature from C degrees Celsius to F degrees Fahrenheit as F ( c ) = 9 5 C + 32 . Calculation: a. We can express temperature in degrees Celsius C as a function of the temperature in degrees Fahrenheit F . Given F ( c ) = 9 5 C + 32 ⇒ F = 9 5 C + To determine To find: The function F ( c ) = 9 5 C + 32 converts a temperature from C degrees Celsius to F degrees Fahrenheit. b. Verify that C = C ( F ) is the inverse of F = F ( C ) by showing that C ( F ( C ) ) = C and F ( C ( F ) ) = F . To determine To find: The function F ( c ) = 9 5 C + 32 converts a temperature from C degrees Celsius to F degrees Fahrenheit. c. What is the temperature in degrees Celsius if it is 70 degrees Fahrenheit?

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

4th Edition

ISBN: 9780134686974

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Chapter 4.2, Problem 100AYU

To determine

To find: The function $F (c) = \frac{9}{5} C + 32$ converts a temperature from $C$ degrees Celsius to $F$ degrees Fahrenheit.

a. Express the temperature in degrees Celsius $C$ as a function of the temperature in degrees Fahrenheit $F$ .

To determine

To find: The function $F (c) = \frac{9}{5} C + 32$ converts a temperature from $C$ degrees Celsius to $F$ degrees Fahrenheit.

b. Verify that $C = C (F)$ is the inverse of $F = F (C)$ by showing that $C (F (C)) = C$ and $F (C (F)) = F$ .

To determine

To find: The function $F (c) = \frac{9}{5} C + 32$ converts a temperature from $C$ degrees Celsius to $F$ degrees Fahrenheit.

c. What is the temperature in degrees Celsius if it is 70 degrees Fahrenheit?

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Chapter 4.2, Problem 99AYU

Chapter 4.2, Problem 101AYU

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Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a f a function of the number of gloves produced TCD(X)=x²-x*4 where x is the weekly production volume in thousands of units and TCDX)Is the cost in thousands of dollars. The Hamiton plant's weekly production costs are given by TCH(Y) = y² + 2Y+8 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 9,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. min st. X, Y 20 (b) Use Excel Solver or LINGO to find the solution to your mathematical model to determine the optimal number of…

Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced: TCD(X) = x²-x+5, where X is the weekly production volume in thousands of units, and TCD(X) is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by: TCH(Y)²+2Y+3, where Y is the weekly production volume in thousands of units, and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 8,000 gloves per week at the lowest possible cost. a. Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. If the constant is "1" it must be entered in the box. For subtractive or negative numbers use a minus sign even if there is a + sign…

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Chapter 4 Solutions

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

Ch. 4.1 - Find f( 3 ) if f( x )=4 x 2 +5x . (pp. 60-62)Ch. 4.1 - Find f(3x) if f(x)=42 x 2 . (pp. 60-62)Ch. 4.1 - Find the domain of the function f(x)= x 2 1 x 2 25...Ch. 4.1 - 4. Given two functions f and g, the ___________,...Ch. 4.1 - True or False If f(x)= x 2 and g(x)= x+9 , then...Ch. 4.1 - 6. If and , which of the following does (fg) (x)...Ch. 4.1 - 7. If H=fg and , which of the following cannot be...Ch. 4.1 - 8. True or False The domain of the composite...Ch. 4.1 - 9. In Problems 9 and 10, evaluate each expression...Ch. 4.1 - In Problems 9 and 10, evaluate each expression...

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The function F ( c ) = 9 5 C + 32 converts a temperature from C degrees Celsius to F degrees Fahrenheit. a. Express the temperature in degrees Celsius C as a function of the temperature in degrees Fahrenheit F .

Solution Summary: The author explains how the function F converts a temperature from C degrees Celsius to F degrees Fahrenheit.

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To find: The function $F (c) = \frac{9}{5} C + 32$ converts a temperature from $C$ degrees Celsius to $F$ degrees Fahrenheit.

a. Express the temperature in degrees Celsius $C$ as a function of the temperature in degrees Fahrenheit $F$ .

To find: The function $F (c) = \frac{9}{5} C + 32$ converts a temperature from $C$ degrees Celsius to $F$ degrees Fahrenheit.

b. Verify that $C = C (F)$ is the inverse of $F = F (C)$ by showing that $C (F (C)) = C$ and $F (C (F)) = F$ .

To find: The function $F (c) = \frac{9}{5} C + 32$ converts a temperature from $C$ degrees Celsius to $F$ degrees Fahrenheit.

c. What is the temperature in degrees Celsius if it is 70 degrees Fahrenheit?

Want to see the full answer?

Chapter 4 Solutions

The function F ( c ) = 9 5 C + 32 converts a temperature from C degrees Celsius to F degrees Fahrenheit. a. Express the temperature in degrees Celsius C as a function of the temperature in degrees Fahrenheit F .

Solution Summary: The author explains how the function F converts a temperature from C degrees Celsius to F degrees Fahrenheit.

Concept explainers

Videos

To find: The function F( c ) = 9 5 C + 32 converts a temperature from C degrees Celsius to F degrees Fahrenheit. a. Express the temperature in degrees Celsius C as a function of the temperature in degrees Fahrenheit F .

To find: The function F( c ) = 9 5 C + 32 converts a temperature from C degrees Celsius to F degrees Fahrenheit. b. Verify that C = C( F ) is the inverse of F = F( C ) by showing that C( F( C ) ) = C and F( C( F ) ) = F .

To find: The function F( c ) = 9 5 C + 32 converts a temperature from C degrees Celsius to F degrees Fahrenheit. c. What is the temperature in degrees Celsius if it is 70 degrees Fahrenheit?

Want to see the full answer?

Chapter 4 Solutions

To find: The function $F (c) = \frac{9}{5} C + 32$ converts a temperature from $C$ degrees Celsius to $F$ degrees Fahrenheit.

a. Express the temperature in degrees Celsius $C$ as a function of the temperature in degrees Fahrenheit $F$ .

To find: The function $F (c) = \frac{9}{5} C + 32$ converts a temperature from $C$ degrees Celsius to $F$ degrees Fahrenheit.

b. Verify that $C = C (F)$ is the inverse of $F = F (C)$ by showing that $C (F (C)) = C$ and $F (C (F)) = F$ .

To find: The function $F (c) = \frac{9}{5} C + 32$ converts a temperature from $C$ degrees Celsius to $F$ degrees Fahrenheit.

c. What is the temperature in degrees Celsius if it is 70 degrees Fahrenheit?