Find x (4x - 3) – ( x + 5) = 3(10 - x) please.....
2 answers:
You might be interested in
<h2>Part 1)</h2>
Let's analyze each part of the function:
FROM x = 0 TO x = 5:
We can find the equation of this line by using The Slope-Intercept Form of the Equation of a Line, that states:
So the y-intercept here is and
, therefore:
FROM x = 0 TO x = 5:
From the previous line, we know that at the output is:
So the point lies on both lines.
For this new line, the slope is
So, with the Point-Slope Form of the Equation of a Line we can find the equation of this other line:
So:
The graph is shown below.
<h2>Part 2)</h2>The graph of the linear function is a line with slope
and
at
. From the items, we can assure that the following equations are linear functions:
In conclusion, the other functions are nonlinear and they are:
The area of the convex polygon is 43/2 square units
<h3>How to determine the area of the convex polygon?</h3>The vertices are given as:
(0,5), (-1,2), (4,4), (-3,-4) and (2,0)
The area is then calculated as:
So, we have:
Evaluate
Remove the absolute bracket
This gives
Hence, the area of the convex polygon is 43/2 square units
Read more about convex polygon at:
#SPJ1