Given:
The equation is:

The graph of the
and
are given on a coordinate plane.
To find:
The solution of the given equation from the given graph.
Solution:
From the given graph it is clear that the graphs of
and
intersect each other at points (1.24,5.24) and (16,20).
It means the values of both functions
and
are equal at
and
.
So, the solutions of given equation are
and
.
Therefore, the correct option is only F.
<span>y = arctan(3) </span>
<span>Since the inverse tangent is a function, there is only one y-value. However, there are infinitely many solutions to tan(y) = 3 (they are arctan(3) + kπ where k is an integer). The approximate value of y here is y = arctan(3) ≈ 1.24905 (in radians).
</span>
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For example,area = a, length = l, width = w
First we write two equations. The easier equation is the area equation, which we know to be
a = l x w
So that the first equation is :
<span>96 = l x w </span>
we make the second equation of the following statements :
<em>The length of a rectangle is 2 foot less than 3 times its width.</em>
<span>so it becomes :
l = 3w - 2
</span>
<span>To solve, we can use the substitution method.
</span>
![96 = l \times w\\96=(3w-2) \times w\\96=3w^{2}-2w\\3w^{2}-2w-96=0~~~~~~[now\ factor\ the\ equation]\\ (3w+16)(w-6)=0](https://tex.z-dn.net/?f=96%20%3D%20l%20%5Ctimes%20w%5C%5C96%3D%283w-2%29%20%5Ctimes%20w%5C%5C96%3D3w%5E%7B2%7D-2w%5C%5C3w%5E%7B2%7D-2w-96%3D0~~~~~~%5Bnow%5C%20factor%5C%20the%5C%20equation%5D%5C%5C%20%283w%2B16%29%28w-6%29%3D0)


<span><em>So if our width is 6, Now substitute the value of w = 6 into equation 2 </em></span>
So "w" = 6 and "l" = 16, and if we multiply them together, we get the correct area, 96. So our dimensions are 6 by 16.
Step-by-step explanation:
<h2>
Find slope-intercept structure </h2>
- y=

- m=2/3, b=-8/3
- therefore the slope will be 2/3
To find y-intercept
- let x=0
- 2(0)-3y=8
- -3y=8
- y=-3/8
To find x-intercept