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Elena-2011 [213]
3 years ago
7

Please help me do my homework I have been stuck on this for ages!!

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
10%. The thing is telling me to use twenty characters ignore this lol
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8) Choose the correct linear system of inequalities for the graph given.
ziro4ka [17]

Answer:

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line.

If the inequality is strict ( < or > ), graph a dashed line. If the inequality is not strict ( ≤ or ≥ ), graph a solid line.

Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.

Graph each of the inequalities in the system in a similar way. The solution of the system of inequalities is the intersection region of all the solutions in the system.

Example 1:

Solve the system of inequalities by graphing:

y≤x−2y>−3x+5

First, graph the inequality y≤x−2 . The related equation is y=x−2 .

Since the inequality is ≤ , not a strict one, the border line is solid.

Graph the straight line.

Consider a point that is not on the line - say, (0,0) - and substitute in the inequality y≤x−2 .

0≤0−20≤−2

This is false. So, the solution does not contain the point (0,0) . Shade the lower half of the line.

Similarly, draw a dashed line for the related equation of the second inequality y>−3x+5 which has a strict inequality. The point (0,0) does not satisfy the inequality, so shade the half that does not contain the point (0,0) .

The solution of the system of inequalities is the intersection region of the solutions of the two inequalities.

Example 2:

Solve the system of inequalities by graphing:

2x+3y≥128x−4y>1x<4

Rewrite the first two inequalities with y alone on one side.

3y≥−2x+12y≥−23x+4−4y>−8x+1y<2x−14

Now, graph the inequality y≥−23x+4 . The related equation is y=−23x+4 .

Since the inequality is ≥ , not a strict one, the border line is solid.

Graph the straight line.

Consider a point that is not on the line - say, (0,0) - and substitute in the inequality.

0≥−23(0)+40≥4

This is false. So, the solution does not contain the point (0,0) . Shade upper half of the line.

Similarly, draw a dashed line of related equation of the second inequality y<2x−14 which has a strict inequality. The point (0,0) does not satisfy the inequality, so shade the half that does not contain the point (0,0) .

Draw a dashed vertical line x=4 which is the related equation of the third inequality.

Here point (0,0) satisfies the inequality, so shade the half that contains the point.

The solution of the system of inequalities is the intersection region of the solutions of the three inequalities.

Step-by-step explanation:

I got it right

3 0
2 years ago
Here are two fractions.
uranmaximum [27]
If you draw the line you will see 2/3 is closer to 3/4
5 0
3 years ago
Five years ago age of father was thrice the age of son. if son is 30 years old now what is current age of father...????
professor190 [17]

Answer:

The father is 75 years old

Step-by-step explanation:

30-5=25 years (sons age)

25×3=75 years old (father)

3 0
3 years ago
if each exterior angle on a regular polygon has a measure of 12 degrees how many sides will the polygon have
DedPeter [7]

Answer:

It will have 30 sides

8 0
3 years ago
The slope of a line perpendicular to y=-3x-4
Margarita [4]
<span>y=-3x-4
slope = 3
perpendicular to line then slope = 1/3

answer

</span>slope of a line perpendicular to <span>y=-3x-4 

</span><span>= 

1/3

</span>
7 0
3 years ago
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