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Viktor [21]
3 years ago
9

1)

Mathematics
2 answers:
Fofino [41]3 years ago
8 0
The answer less then 6
allochka39001 [22]3 years ago
5 0
That answer is less than 6! :)
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Which situation can be represented by the<br> inequality 4x − 25 &lt; 125?
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First add 25 to both sides of the inequality.
You get 4x < 150
Now divide both sides by 4.
You get x < 37.5
So x can be anything less than 37.5,  such as 36,  35 or 34.
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How many feet in a mile?
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Peter uses the equation y=13/4x to model the number of miles that he has walked in x hours.what statement is true about the prop
denis23 [38]

Answer: I need help with this

Step-BYU-step explanation:

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3 years ago
Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th
ladessa [460]

Answer:

f^{-1}(x)=g(x)=\frac{\text{ln}(x)}{2}+\frac{1}{2}  

Step-by-step explanation:

Please find the attachment.

We have been given two functions as (x)=e^{2x-1} and g(x)=\frac{1}{2}+\frac{\text{ln}(x)}{2}. We are asked to show that both functions are inverse of each other algebraically and graphically.

Let us find inverse function of f(x)=e^{2x-1} as:

y=e^{2x-1}

Interchange x and y values:  

x=e^{2y-1}

Take natural log of both sides:

\text{ln}(x)=\text{ln}(e^{2y-1})  

\text{ln}(x)=(2y-1)*\text{ln}(e)  

\text{ln}(x)=(2y-1)*1  

\text{ln}(x)=2y-1  

\text{ln}(x)+1=2y-1+1

\text{ln}(x)+1=2y  

\frac{\text{ln}(x)+1}{2}=\frac{2y}{2}  

\frac{\text{ln}(x)}{2}+\frac{1}{2}=y  

f^{-1}(x)=\frac{\text{ln}(x)}{2}+\frac{1}{2}  

Therefore, we can see that function g(x)=\frac{1}{2}+\frac{\text{ln}(x)}{2} is inverse of function f(x)=e^{2x-1}.

We can see that both functions are symmetric about line y=x, therefore, both functions are inverse of each other.  

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3 years ago
Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water.
melisa1 [442]

Answer:

This problem is unsolvable

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3 years ago
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