Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
No solution! Hope this helped
The answer is (x+5)(x-8)
Hope this helps
−<span>2.8
</span>Okay so "0.9x-1.3=-3.1" x=-2
<span><span><span>0.9x</span>−1.3</span>=<span>−3.1
</span></span>add 1.3 to both sides
<span><span><span><span>0.9x</span>−1.3</span>+1.3</span>=<span><span>−3.1</span>+1.3
</span></span><span><span>0.9x</span>=<span>−1.8
</span></span>divide both sides by 0.9
<span><span><span>0.9x/</span>0.9</span>=<span><span>−1.8/</span><span>0.9
</span></span></span>x=<span>−2</span>
So if you plug in -2 into "x-0.8" you get −2.8
<span>=<span><span>−2</span>−0.8
</span></span><span>=<span><span>−2-</span><span>0.8
</span></span></span><span>=<span>−2.8
</span></span>Hope this helps.
The area of the triangle as a function of x is A = 3x^2/[2(x -5)] and the domain is x > 5
<h3>Write the area A of the triangle as a function of x</h3>
From the figure, we have the following points:
(0,y), (5,3), and (x,0)
Next, we calculate the slopes between the points.
This is calculated as follows:
- Slope between (0,y) and (5,3) = [y - 3]/[0 - 5] = [3 - y]/5
- Slope between (5,3) and (x,0) = [3 - 0]/[5 - x] = 3/[5 - x]
The slopes are equal.
So, we have:
[3 - y]/5 = 3/[5 - x]
Cross multiply
(3 - y)(5 -x) = 15
Divide by 5 - x
(3 - y) = 15/(5 -x)
This gives
y = 3 - 15/(5 -x)
This gives
y = [15- 3x - 15]/[5 - x]
Evaluate
y = 3x/(x - 5)
The area is calculated as:
Area = 1/2 * xy
So, we have:
Area = 1/2 * x * 3x/(x - 5)
Evaluate
Area = 3x^2/[2(x -5)]
Hence, the area of the triangle as a function of x is A = 3x^2/[2(x -5)]
<h3>
The domain of the function</h3>
We have:
A = 3x^2/[2(x -5)]
Set the denominator > 0
2(x - 5) > 0
Divide by 2
x - 5 > 0
Add 5 to the sides
x > 5
Hence, the domain is x > 5
Read more about domains at:
brainly.com/question/2428614
#SPJ1
