The linear equation is y = 4x - 4
And the graph of the linear equation can be seen in the image below.
<h3>
How to graph the last line?</h3>
It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.
Remember that a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:
y = a*x - 4
Now we also can see that this line passes through the point (2, 4), this means that if we evaluate in x = 2, the outcome should be y = 4, replacing that we get:
4 = a*2 - 4
4 + 4 = a*2
8 = a*2
8/2 = a = 4
Then the slope is 4, and the linear equation is:
y = 4x - 4
The graph is below.
If you want to learn more about linear functions:
brainly.com/question/4025726
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For this case we have the following equations:
We must find 
By definition of composition of functions we have to:
So:
We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.
So, the roots are:
The domain is given by all real numbers except 0 and 3.
Answer:
x other than 0 and 3
Considering the volume of the cone, it is found that each triathlete sloshed out 9.5 cm³ of water.
<h3>What is the volume of a cone?</h3>
The volume of a cone of <u>radius r and height h</u> is given by:
V = 1/3 x r² x h
In this problem, the radius and the height are given as follows:
r = 3.5 cm, h = 7 cm.
Hence the total volume is:
V = 1/3 x 3.5² x 7 = 28.6 cm³
The triathletes sloshed out 1/3 of that, hence:
1/3 x 28.6 = 9.5 cm³.
More can be learned about the volume of a cone at brainly.com/question/14281550
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