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Answer :
To understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents, let's break it down step-by-step.
1. Understand the function: The function [tex]\( C(F) \)[/tex] is used to convert a temperature in degrees Fahrenheit (F) into degrees Celsius (C).
2. Structure of the function:
- [tex]\( F \)[/tex] stands for the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] stands for the temperature in degrees Celsius.
3. Conversion formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes the temperature in Fahrenheit, subtracts 32 from it, multiplies the result by [tex]\(\frac{5}{9}\)[/tex], and the final result is the temperature in degrees Celsius.
4. Interpretation:
- [tex]\( C(F) \)[/tex] specifically converts temperatures from the Fahrenheit scale to the Celsius scale.
Given all these details, we can conclude that [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Thus, the correct statement is:
[tex]\(C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
1. Understand the function: The function [tex]\( C(F) \)[/tex] is used to convert a temperature in degrees Fahrenheit (F) into degrees Celsius (C).
2. Structure of the function:
- [tex]\( F \)[/tex] stands for the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] stands for the temperature in degrees Celsius.
3. Conversion formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes the temperature in Fahrenheit, subtracts 32 from it, multiplies the result by [tex]\(\frac{5}{9}\)[/tex], and the final result is the temperature in degrees Celsius.
4. Interpretation:
- [tex]\( C(F) \)[/tex] specifically converts temperatures from the Fahrenheit scale to the Celsius scale.
Given all these details, we can conclude that [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Thus, the correct statement is:
[tex]\(C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
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