Answer: ![A=15x^2+6x-48](https://tex.z-dn.net/?f=A%3D15x%5E2%2B6x-48)
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
![A=l*w](https://tex.z-dn.net/?f=A%3Dl%2Aw)
Where "l" is the length and "w" is the width.
You can identify from the figure that the length and the width of this rectangle are:
![length=3(x+2)\\width=5x-8](https://tex.z-dn.net/?f=length%3D3%28x%2B2%29%5C%5Cwidth%3D5x-8)
Then, you need to substitute this lenght and this width into
:
![A=3(x+2)(5x-8)](https://tex.z-dn.net/?f=A%3D3%28x%2B2%29%285x-8%29)
Now, apply Distributive property:
![A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48](https://tex.z-dn.net/?f=A%3D%283x%2B6%29%285x-8%29%5C%5C%5C%5CA%3D15x%5E2-24x%2B30x-48)
Finally, you need to add the like terms. Then, you get:
![A=15x^2+6x-48](https://tex.z-dn.net/?f=A%3D15x%5E2%2B6x-48)
Answer:
It is 18
Step-by-step explanation:
A^2+31^2=36^2
After that you simplify then solve and you'll get 18
Tthe inequality that describes this graph is y ≤ 1/3x - 4/3
<h3>How to determine the linear inequality represented by the graph?</h3>
The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(0, -1.3) and (3, -0.3)
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (-0.3 + 1.3)/(3 - 0)
Evaluate
m = 1/3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1/3(x - 0) - 1.3
Evaluate
y = 1/3x - 4/3
From the graph, we have the following highlights:
- The line of the graph is a closed line
- The upper part is shaded
The first highlight above implies, the inequality can be any of ≥ and ≤
While the second highlight above implies, the inequality is ≤
Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3
Read more about inequality at
brainly.com/question/24372553
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