Question5°F - 32)
The function to convert Fahrenheit to Celsius is °C = (°F) =
The inverse function will
9
convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of how
determining this inverse is different than determining the previous inverses.
The inverse function is °F = -(°C)=
The F and °C (select) V need to be switched like the x and y did in the previous functions.
(select) degree measures, and because of the real-world relationship, switching them
(select) ✓ make sense.
Answers
Answer:
Step-by-step explanation:
Given
Required
Determine the inverse function
Make F the subject of formula:
Multiply through by 9
Add 32 to both sides
Divide through by 5
The inverse function is °F = (9/5 * °C) + 32.
To determine this inverse function, we first need to understand that it's the reverse conversion from Celsius to Fahrenheit. In the original conversion from Fahrenheit to Celsius, we subtracted 32 from the Fahrenheit temperature and then divided the result by 9/5 (or 1.8).
To find the inverse, we need to do the opposite operations in reverse order. First, we need to undo the division by 1.8, which is equivalent to multiplying by 5/9. Then, we need to undo the subtraction of 32 by adding 32 to the result.
This process is different from determining previous inverses because it involves reversing the operations in the opposite order and with different constants (5/9 and 32) compared to the original function.
The F and °C variables need to be switched in the inverse function because we are now going from Celsius to Fahrenheit, and the relationship between these temperature scales requires different mathematical operations.
Switching them makes sense because it aligns with the real-world relationship between the two temperature scales and ensures that the inverse function correctly converts from Celsius to Fahrenheit
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Related Questions
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Find the exact values of the numbers c that satisfy the conclusion of the Mean Value Theorem for the interval [−2, 2]. (Enter your answers as a comma-separated list.)
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Do the points shown represent additive inverses? Explain why or why not
B) 124.96 ounces
C) 125.56 ounces
D) 125.96 ounces
Answers
9514 1404 393
Answer:
B) 124.96 ounces
Step-by-step explanation:
To find ounces, multiply the number of grams by the number of ounces in each gram.
3550 × 0.0352 = 124.96 . . . ounces
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Answer:
Yes
Step-by-step explanation:
51 ÷ 17 = 3
Answers
Answers
Answer:
i2 = -1
Step-by-step explanation:
5i ⋅i⋅(−2i)= −
10 ⋅ i2 ⋅ i= − 10 ⋅ (−1) ⋅ i = 10i
840.54 cm3
1,055.04 cm3
1,456.96 cm3
Answers
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm
Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³
Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³
cone: height = 12 cm ; radius = 4 cm
Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³
Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³
Answers
Answer:
area left = (3x² + 6x - 24) in²
Step-by-step explanation:
the area of poster board left
= area of poster board - area of square cut out
= 4x² + 14x - 8 - (x² + 8x + 16) ← distribute parenthesis by - 1
= 4x² + 14x - 8 - x² - 8x - 16 ← collect like terms
= (4x² - x² ) + (14x - 8x) + (- 8 - 16)
= 3x² + 6x + (- 24)
= (3x² + 6x - 24) in²