Answer:
x = 0
Step-by-step explanation:
Substituting the given "point" into the equation gives the possibilities for x.
<h3>Substitution</h3>
Using (x, y) = (x, 8), the inequality becomes ...
3x -4 < 8
Solving for x gives ...
3x < 12 . . . . . . . add 4
x < 4 . . . . . . . divide by 3
Any value of x less than 4 will make (x, 8) a solution to the inequality. For example, ...
x = 0 . . . . . . (0, 8) is a solution to the inequality
This is a geometric series
r = 4
a1 = 0.25
n = 5
1st: do distributive property, that will give you 3x + 6 + 5x
2nd: combine like terms to simplify, this will give you 6 + 8x
Answer:
Choice D
Step-by-step explanation:
For this one I would find if the point lands on the line.
<em><u>Choice A:</u></em>
What we have to do is to plug in -4 for x and 4 for y.
![y=2x+10\\(4)=2(-4)+10\\4=-8+10\\4\ne2](https://tex.z-dn.net/?f=y%3D2x%2B10%5C%5C%284%29%3D2%28-4%29%2B10%5C%5C4%3D-8%2B10%5C%5C4%5Cne2)
The point is not on this line so this cannot be it.
<em><u>Choice B:</u></em>
We pug what we know again.
![y=\frac{1}{3}x+1\\(4)=\frac{1}{3}(-4)+1\\(4)=-\frac{4}{3}+1\\4\ne-\frac{1}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx%2B1%5C%5C%284%29%3D%5Cfrac%7B1%7D%7B3%7D%28-4%29%2B1%5C%5C%284%29%3D-%5Cfrac%7B4%7D%7B3%7D%2B1%5C%5C4%5Cne-%5Cfrac%7B1%7D%7B3%7D)
The point is not on this line so it can't be it.
<em><u>Choice C:</u></em>
We pug in what we know again.
![y=3x-9\\(4)=3(-4)-9\\(4)=-12-9\\4\ne-21](https://tex.z-dn.net/?f=y%3D3x-9%5C%5C%284%29%3D3%28-4%29-9%5C%5C%284%29%3D-12-9%5C%5C4%5Cne-21)
The point is not on this line so it can't be it.
The next one has to be it, but we'll check it just in case.
<em><u>Choice D:</u></em>
We plug in what we know again.
![y= \frac{1}{2}x+6\\(4)=\frac{1}{2}(-4)+6\\(4)=-2+6\\4=4](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B2%7Dx%2B6%5C%5C%284%29%3D%5Cfrac%7B1%7D%7B2%7D%28-4%29%2B6%5C%5C%284%29%3D-2%2B6%5C%5C4%3D4)
The point is on this line so this is the line.