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2 answers:
The y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
Where the line segment crosses the y-axis is the y-intercept,
And where the line segment crosses the x-axis is the x-intercept,
From the graph,
y-intercept is at (0,2)
x-intercepts is at (-4,0), (2,0)
Thus, the y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.
Learn more about the straight line here:
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The volume of the prism is a function of the cubes in it.
The volume of the prism is: <em>(b) 2 unit cubes and 9 smaller cubes of volume fraction 1 over 27 cubic inch each</em>
From the question, we have:
<em /><em> --- number of cubes</em>
<em /><em> --- the edge length of each cube</em>
<em />
So, the volume of a cube is:
This gives
The volume of the prism is then calculated as:
This gives
Rewrite as:
Split
Rewrite as:
The above equation means that, the volume of the prism is:
<em>(b) 2 unit cubes and 9 smaller cubes of volume fraction 1 over 27 cubic inch each </em>
<em />
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f(x) = 3x - 1/2
is the inverse of f(x). Let y = f(x)
y = 3x - 1/2
To find the inverse function, replace y with x and x with y
x = 3y - 1/2
After solving and simplifying the equation for y, you will get the following equation
y = x/3 + 1/6
This is the inverse of f(x). Now, substitute x = 4
y = 4/3 + 1/6
= 8/6 + 1/6
= 9/6
= 3/2
That should be your answer. Let me know if you need any clarifications, thanks!