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zvonat [6]
2 years ago
5

Which equation represents the transformed function below?

Mathematics
1 answer:
Marta_Voda [28]2 years ago
5 0

If we know the concepts of transformations and <em>horizontal</em> translation and that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).

<h3>How to determine the transformed function in terms of its parent function</h3>

The transformation of functions are operations which modify the relationship between input and outputs in a function. The <em>parent</em> function represents a <em>canonical square root</em> function and the <em>transformed</em> function is the consequence of applying a <em>horizontal</em> translation.

This kind of transformation is defined by the following expression:

g(x) = f(x - k)     (1)

Where k represents a <em>rightward</em> translation for k > 0.

If we know that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).

To learn more on transformations: brainly.com/question/11709244

#SPJ1

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A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re
fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer E_0 and the current temperature E(t) where t is the elapsed time in minutes.  The outside temperature is 20 F.

Newton's Law of Cooling:

E(t) - 20 = (E_0 - 20) e^{- k t}

We're given E(1)=70 \textrm{ and } E(5)=45

70-20 = (E_0 - 20) e^{-k}

45-20 =(E_0 - 20) e^{-5k}

Dividing,

\dfrac{50}{25}=e^{4k}

k = \dfrac 1 4 \ln 2

Now,

E(t) - 20 = (E_0 - 20) e^{- k t}

E_0 = 20 + (E(t) - 20)e^{k t}

E_0 = 20 + (E(1) - 20)e^{k}

E_0 = 20 + (70 - 20)e^{\ln 2/4}

E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}


3 0
4 years ago
Lets see who can answer this with no hesitation and of course in return I'll brainlist you.
inysia [295]

Answer:

24 x 1.24 = 29.76

$29.76

works?

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3 years ago
Leon is building a square picture frame. The side of the frame is 345 mm long. If a meter of wood cost seven dollars how much wi
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 345 mm is .27 meters times that by 7 and you get 2.38
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4 years ago
What's 64/4 in the simplest form
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Answer:

16

Step-by-step explanation:

64 divided by 4 is equal to 16.

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3 years ago
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