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saveliy_v [14]
3 years ago
13

A thermometer gives a reading of 26 degrees Celsius. Use the formula c =5/9(f-32). Write the inverse function and use it to find

the equivalent temperature in Fahrenheit
Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0

Answer:

The answer to your question is F = 78.8

Step-by-step explanation:

Equation

                           C = \frac{5}{9} (F - 32)

Multiply both sides by 9

                           9C = \frac{5(9)}{9} (F - 32)

Simplify

                           9C = 5(F - 32)

Divide both sides by 5

                           \frac{9}{5} C = \frac{5}{5} (F - 32)

Simplify

                           \frac{9}{5} C = F -32

Add 32 in both sides

                           \frac{9}{5} C + 32 = F - 32 + 32

Simplify (Inverse)

                           \frac{9}{5} C + 32 = F

Substitute to find F

                           \frac{9}{5} (26) + 32 = F

Simplify

                                          F = 46.8 + 32

Result

                                          F = 78.8    

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Answer: Choice C

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===========================================

Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

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f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

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The reason why we replace every x with -x is because of the examples mentioned below

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As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.

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