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avanturin [10]
3 years ago
5

Two functions f and g are given. Show that the growth rate of the linear function is constant and that the relative growth rate

of the exponential function is constant. ​f(t)equals160plus8.5​t, ​g(t)equals160 e Superscript t divided by 8 What is the growth rate of the linear​ function
Mathematics
1 answer:
joja [24]3 years ago
6 0

Answer:

  linear function growth rate: 8.5

Step-by-step explanation:

The growth rate of the linear function is the coefficient of t: 8.5. (It is a constant.)

__

The growth rate of g(t) is its derivative: g'(t) = (1/8)(160e^(t/8)) = 20e^(t/8). Then the relative growth rate is ...

  g'(t)/g(t) = (20e^(t/8))/(160e^(t/8)) = 20/160 = 1/8

It is a constant.

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Vinvika [58]

Answer:

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Step-by-step explanation:

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3 years ago
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This question is asking what the value of g(5) is please answer and explain this cause don’t understand functions at all!!
frosja888 [35]
Short Answer: g(x) = -3x This is a teaching question. 
Remark

Define and describe f(x)
f(x) is read as y is dependent of x. The notation of f(x) with some exceptions is the same thing as y. What it stands for and what it can be used for is to tell you want value x can have if you want a  specific value for x. 

Suppose you are given 
y = x + 2

Then suppose there is another statement above it
Let x = 5
y = x + 2
y = 5 + 2
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Instead of writing the top statement
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So what does all this come down to. It is just a short way of writing Let x = ?
f(?) is what x will equal. x will become ?. 

Your Question.
Remember that f(x) tells you what x becomes
f(5) means that x = 5.
Is that more than 4 or is that less than 4? It's a serious question. 
Of course 5 is greater than 4. So that means that g(x) = - 3x. You don't have to do anything. Just read it.
6 0
3 years ago
please help me thanks if you do :') it would also be awesome if you could explain but its ok if you can't i guess. Find x
klio [65]

Answer:

x=4\sqrt{2}\ units

Step-by-step explanation:

Theorem: In the right triangle the leg is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg.

Based on the theorem above,

x^2=2\cdot (2+6)\\ \\x^2=4\cdot 8\\ \\x^2=32\\ \\x=\sqrt{32}\ units\\ \\x=4\sqrt{2}\ units

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Kipish [7]

Answer:

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nikitadnepr [17]
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