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Graph y < 1/3x + 1/2. What are the points???
2 answers:
Answer:
The given inequality is
It's important to consider that the solution of an inequality with two variables is actually a set, which can be solves graphically.
First, we graph the line , which is a not solid line, because the inequality sign doesn't include equivalence.
Second, we evaluate the inequality for a test point (0,0).
The resulting statement is true, so the area of solution must contain the origin of the coordinate system.
Therefore, all solution points are shown in the image attached.
All this means the solution of the given inequality is inifinite. All the points that fall into the shaded area are solutions.
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Given : A social media website has currently = 1,000 members.
In each month number of members gets triple.
To find: Equation that represents number of members m belongs to site.
Solution: Because we are given, each month the number of members gets triple, that means each month we can multiply by 3 to the number of members of previous month.
For first month, we would multiply 1,000 by 3.
For second month, we would multiply 1,000 by 3 *3.
For second month, we would multiply 1,000 by 3*3*3.
Each month one factor of 3 is being increasing.
We could write those 3's as exponents of 3.
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As many months as many 3's are there.
So, the exponent of 3 is represnts the number of months.
Let us take a variable for number of month by n.
So, we could setup an equation for number of members m belongs to site on a particular month n as
This is our final equation.