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kramer
3 years ago
15

Graph y < 1/3x + 1/2. What are the points???

Mathematics
2 answers:
mestny [16]3 years ago
6 0
You don't have a graph there so idk if im right but i think its (0,2) and (3,1) plz tell me if im wrong :)
ehidna [41]3 years ago
5 0

Answer:

The given inequality is

y

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 y=\frac{1}{3}x+\frac{1}{2}, 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).

y

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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{-1,0,1,2,3}.I think this is the answer of your question.
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Step-by-step explanation:

4 0
3 years ago
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Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.
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<span>divide both sides of the equation by 2 to get: 

(x + 1/4)^2 = -7/16 ***** this is your solution. 

continue further to solve for x if you care to, but the problem did not require you to do this. 

take the square root of both sides of the equation to get: 

x + 1/4 = plus or minus sqrt(-7/16) 

subtract 1/4 from both sides of the equation to get x = -1/4 plus or minus sqrt(-7/16). 

since sqrt(-7/16) is the same as sqrt(7/16) * i, your solution becomes: 

x = -1/4 plus or minus sqrt(7/16) * i. 

your problem was to convert it to the form of (x + p)2 = q. 

the solution to that is: 

</span><span>(x + 1/4)^2 = -7/16 </span><span>subtract 1 from both sides of the equation to get: 

2x^2 + x = -1 

factor out a 2 on the left side of the equation to get: 

2 * (x^2 + x/2) = -1 

complete the squares on x^2 + x/2 to get: 

2 * ((x+1/4)^2 - (1/16)) = -1 

simplify by distibuting the multiplication to get: 

2 * (x+1/4)^2 - 2*(1/16) = -1 

simplify further to get: 

2 * (x+1/4)^2 - 1/8 = -1 

add 1/8 to both sides of the equation to get: 

2 * (x + 1/4)^2 = -7/8 .



</span>
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4 years ago
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