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9966 [12]
2 years ago
6

Pauley graphs the change in temperature of a glass of hot tea over time. he sees that the function appears to decrease quickly a

t first, then decrease more slowly as time passes. which best describes this function?
Mathematics
1 answer:
babunello [35]2 years ago
5 0

Non-linear graph best describes this function.

<h3>Why nonlinear?</h3>

As described in the question, Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable but it doesn't satisfies one condition of being linear. Thus, It's Nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.

To learn more about nonlinear function visit:

brainly.com/question/762799

#SPJ4

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1) f(x) = 2x + 4, g(x) = 4x2 + 1; Find (g ∘ f)(0).
Sholpan [36]

Answer:

<h2>(g \: \circ \: f)(0) = 17</h2>

Step-by-step explanation:

f(x) = 2x + 4

g(x) = 4x² + 1

In order to find (g ∘ f)(0) we must first find

(g ° f )(x)

To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

<h3>(g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\  = 4(4 {x}^{2}  + 16x + 16) + 1 \\  =  {16x}^{2}  + 64x + 16 + 1</h3>

We have

<h3>(g \: \circ \: f)(x) =  {16x}^{2}  + 64x + 17 \\</h3>

Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)

We have

<h3>(g \: \circ \: f)(0) = 16( {0})^{2}  + 64(0) + 17 \\</h3>

We have the final answer as

<h3>(g \: \circ \: f)(0) = 17</h3>

Hope this helps you

8 0
3 years ago
45.6/109.2 = x/115<br><br> Is x, 48.02?
MAXImum [283]
Yes correct x is 48.02 here is why.

simplify 45.6/109.2 to 0.417582

multiply both sides by 115

simplify 0.417582 x 115 to 48.021978

switch sides

Answer: x = 48.021978
4 0
3 years ago
Someone help me please with this algebra problem
aleksandr82 [10.1K]

Answer:

4

Step-by-step explanation:

3r = 10 + 5s

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3(10) = 10 + 5s

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20 = 5r

r = 4

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