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3 years ago

Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)

Mathematics

1 answer:

12345 [234]3 years ago

3 0

Answer:

f(2) = 0 and f(6) = -4

Step-by-step explanation:

First, find f(x) when x = 2

Plug in 2 as x in the function:

f(x) = -(x - 2)

f(2) = -(2 - 2)

f(2) = -(0)

f(2) = 0

Next, find f(x) when x = 6. Plug in 6 as x in the function:

f(x) = -(x - 2)

f(6) = -(6 - 2)

f(6) = -(4)

f(6) = -4

So, f(2) = 0 and f(6) = -4

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The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

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$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

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Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)​

Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)