Thank you for visiting 1 Write a function tex f c tex to convert Celsius to Fahrenheit 2 Is it possible for a temperature to be the same in. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve this problem, we need to understand the relationship between Celsius and Fahrenheit and find if there's a temperature that is the same in both scales.
### Step 1: Define the conversion function from Celsius to Fahrenheit
The formula to convert a temperature from Celsius ([tex]\( c \)[/tex]) to Fahrenheit ([tex]\( f \)[/tex]) is:
[tex]\[ f(c) = c \times 1.8 + 32 \][/tex]
This formula is based on the fact that for every 1 degree increase in Celsius, the temperature in Fahrenheit increases by 1.8 degrees, and 0 degrees Celsius corresponds to 32 degrees Fahrenheit.
### Step 2: Determine if a temperature can be the same in Celsius and Fahrenheit
We want to find a temperature where:
[tex]\[ x \, \text{degrees Celsius} = x \, \text{degrees Fahrenheit} \][/tex]
This means we set up the equation using our conversion formula:
[tex]\[ x = x \times 1.8 + 32 \][/tex]
### Step 3: Solve the equation
Rearrange the equation by moving all terms involving [tex]\( x \)[/tex] to one side:
[tex]\[ x - x \times 1.8 = 32 \][/tex]
Factor out the [tex]\( x \)[/tex] from the left side:
[tex]\[ x(1 - 1.8) = 32 \][/tex]
Simplify [tex]\( 1 - 1.8 \)[/tex] to get [tex]\(-0.8\)[/tex]:
[tex]\[ -0.8x = 32 \][/tex]
Now, solve for [tex]\( x \)[/tex] by dividing both sides by [tex]\(-0.8\)[/tex]:
[tex]\[ x = \frac{32}{-0.8} \][/tex]
The result of the division is:
[tex]\[ x = -40 \][/tex]
### Conclusion
The temperature at which the Celsius and Fahrenheit values are the same is [tex]\(-40\)[/tex] degrees. So, [tex]\(-40\)[/tex] degrees Celsius is equal to [tex]\(-40\)[/tex] degrees Fahrenheit.
### Step 1: Define the conversion function from Celsius to Fahrenheit
The formula to convert a temperature from Celsius ([tex]\( c \)[/tex]) to Fahrenheit ([tex]\( f \)[/tex]) is:
[tex]\[ f(c) = c \times 1.8 + 32 \][/tex]
This formula is based on the fact that for every 1 degree increase in Celsius, the temperature in Fahrenheit increases by 1.8 degrees, and 0 degrees Celsius corresponds to 32 degrees Fahrenheit.
### Step 2: Determine if a temperature can be the same in Celsius and Fahrenheit
We want to find a temperature where:
[tex]\[ x \, \text{degrees Celsius} = x \, \text{degrees Fahrenheit} \][/tex]
This means we set up the equation using our conversion formula:
[tex]\[ x = x \times 1.8 + 32 \][/tex]
### Step 3: Solve the equation
Rearrange the equation by moving all terms involving [tex]\( x \)[/tex] to one side:
[tex]\[ x - x \times 1.8 = 32 \][/tex]
Factor out the [tex]\( x \)[/tex] from the left side:
[tex]\[ x(1 - 1.8) = 32 \][/tex]
Simplify [tex]\( 1 - 1.8 \)[/tex] to get [tex]\(-0.8\)[/tex]:
[tex]\[ -0.8x = 32 \][/tex]
Now, solve for [tex]\( x \)[/tex] by dividing both sides by [tex]\(-0.8\)[/tex]:
[tex]\[ x = \frac{32}{-0.8} \][/tex]
The result of the division is:
[tex]\[ x = -40 \][/tex]
### Conclusion
The temperature at which the Celsius and Fahrenheit values are the same is [tex]\(-40\)[/tex] degrees. So, [tex]\(-40\)[/tex] degrees Celsius is equal to [tex]\(-40\)[/tex] degrees Fahrenheit.
Thank you for reading the article 1 Write a function tex f c tex to convert Celsius to Fahrenheit 2 Is it possible for a temperature to be the same in. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
