anonymous
  • anonymous
The coordinate plane below represents a city. Points A through F are schools in the city.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
Part A: Using the graph above, create a system of inequalities that only contain points B and C in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. Part B: Explain how to verify that the points B and C are solutions to the system of inequalities created in Part A. Part C: Lisa can only attend a school in her designated zone. Lisa's zone is defined by y > 2x + 5. Explain how you can identify the schools that Lisa is allowed to attend.
anonymous
  • anonymous
PLEASE HELP A.S.A.P. I WILL GIVE A MEDAL IF YOU EXPLAIN THE MATERIAL WELL. THX!!! ;D

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
@satellite73
anonymous
  • anonymous
we can do this, it is a pain but we can do it
anonymous
  • anonymous
Thx!!! ;)
anonymous
  • anonymous
i am not really clear on the wording, but is is clear that the x coordinates of both B and C are 3 right?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
so since they are both 3, they are certainly both bigger than say \(2\) so maybe you can use \(x>2\) as one inequality since all the other points have smaller x values
anonymous
  • anonymous
Ok
anonymous
  • anonymous
but i think you need more since it says a "system"
anonymous
  • anonymous
True, I think we should also do f and c, they have the same y-int.
anonymous
  • anonymous
ok so we know they are both to the right of 2, so \(x>2\) what is the largest y value for those two points?
anonymous
  • anonymous
1
anonymous
  • anonymous
ok so both of them have \(y<1\) we can use that one
anonymous
  • anonymous
what is the smallest y value?
anonymous
  • anonymous
-3
anonymous
  • anonymous
ooops i made a mistake, i meant \(y<2\) since \(1<2\)
anonymous
  • anonymous
ok so another we can use is \(y>-4\)
anonymous
  • anonymous
Oh, ok. No worries.
anonymous
  • anonymous
we are just making a box around them
anonymous
  • anonymous
Oh
anonymous
  • anonymous
and maybe we close it in with \(x<4\)
anonymous
  • anonymous
Ok
anonymous
  • anonymous
all of those points are in that box
anonymous
  • anonymous
So, is this the system of inequalities?
jim_thompson5910
  • jim_thompson5910
here is one of infinitely many ways to do this (see attached) notice how the blue and red regions overlap to form the purple region
anonymous
  • anonymous
i made a mistake there \[x>2,x<4,y>-4,y<2\] will do it
anonymous
  • anonymous
Kk
anonymous
  • anonymous
you could probably be fancier and come up with three inequalities instead of 4, |dw:1450322440841:dw|
anonymous
  • anonymous
but why bother?
anonymous
  • anonymous
Right
anonymous
  • anonymous
we get something that looks like this, a reactagle around the points actually @jim_thompson5910 picture is better http://www.wolframalpha.com/input/?i=x%3E1+and+x%3C4+and+y%3E-4+and+y%3C2
anonymous
  • anonymous
Ok, what's next?
anonymous
  • anonymous
have a snack?
anonymous
  • anonymous
Haha
jim_thompson5910
  • jim_thompson5910
whatever you got for part A, verify it in part B
anonymous
  • anonymous
actually what is next is @jim_thompson5910 s help since i really have to go to bed but i am sure you can do it
anonymous
  • anonymous
Ok, thx for everything already
jim_thompson5910
  • jim_thompson5910
There are infinitely many ways to do this, but the easiest is to probably just use two inequalities like I've shown. It's up to you how you answer part A
anonymous
  • anonymous
I know it's kind of against Open Study's policy, but since you already explained half to me. Do you think you could write down all the answers? You seem to know what you're doing, and I need to go to bed too. Please!!!
jim_thompson5910
  • jim_thompson5910
the red region is the solution set to \(\Large x \ge 2\) the blue region is the solution set to \(\Large y \ge -4\) so the purple region is the solution set to this system \[\Large \begin{cases}x \ge 2\\y \ge -4\end{cases}\]
jim_thompson5910
  • jim_thompson5910
here's what I'm referring to http://assets.openstudy.com/updates/attachments/567224fbe4b0d5f07925328b-jim_thompson5910-1450322371474-system_of_inequalities2.jpg
jim_thompson5910
  • jim_thompson5910
part A has you set up some system part B wants you to prove how points B and C are solutions to that system, ie how they are in the solution set. You need to plug the coordinates of each point into the inequalities
anonymous
  • anonymous
???
jim_thompson5910
  • jim_thompson5910
where are you stuck?
anonymous
  • anonymous
I know a lot of people do things like this to get out of doing work, but I really do work, and I'm not trying to use you, but could you please write the answers. I have school at 7 am. I really can't take this long. I've been on this question since 8 pm. I swear I'm not exaggerating. Then after a long while I decided to try to get help because my parents didn't understand it and couldn't explain and I HAVE to go to bed. Please, believe me, I really need the answers! :(
jim_thompson5910
  • jim_thompson5910
well we can work together to get to the answers
anonymous
  • anonymous
Thx, but pls make it quick!!! Like maybe 2 min.
jim_thompson5910
  • jim_thompson5910
Idk if that's enough time, but I need to know where you're stuck. Do you understand what I've explained so far? It's ok if you didn't. Let me know where you got stuck.
anonymous
  • anonymous
I just don't know what to submit for part a, I understand what we did, but don't know how that answers the question, and when I submit it what exactly should I write?
jim_thompson5910
  • jim_thompson5910
look at this http://assets.openstudy.com/updates/attachments/567224fbe4b0d5f07925328b-jim_thompson5910-1450322371474-system_of_inequalities2.jpg hopefully you see how I got the red region to be the inequality \(\Large x \ge 2\)
anonymous
  • anonymous
I understand that, but what exactly should I type, we can't submit pictures and files. I can only type the answer. Would it be:
jim_thompson5910
  • jim_thompson5910
well the pictures help you build up the system I wrote above, which was \[\Large \begin{cases}x \ge 2\\y \ge -4\end{cases}\]
jim_thompson5910
  • jim_thompson5910
scroll up to see my explanation how I got that
anonymous
  • anonymous
That is the system of inequalities only for b and c, right?
jim_thompson5910
  • jim_thompson5910
points B and C, yes
jim_thompson5910
  • jim_thompson5910
as shown in the purple region
anonymous
  • anonymous
Ok, now how would I explain in words how the lines were groaned and shaded. Would I just say that if you use the substitution method you can graph your answer and shade where it says and the lien would be solid?
jim_thompson5910
  • jim_thompson5910
for x >= 2, it's a vertical line through 2 on the x axis then you shade to the right of that vertical line. That forms the red region
jim_thompson5910
  • jim_thompson5910
for y >= -4, it's a horizontal line through -4 on the y axis then you shade above the horizontal line. That forms the blue region
jim_thompson5910
  • jim_thompson5910
combine the two regions, they overlap to form the purple region
anonymous
  • anonymous
But it's only asking for b and c, so should I only describe those?
jim_thompson5910
  • jim_thompson5910
it all builds up to form the purple rectangle you see on the attachment
jim_thompson5910
  • jim_thompson5910
yes say how B and C are in the purple region
anonymous
  • anonymous
Ok, i thought I understood, but now I'm totally confused
jim_thompson5910
  • jim_thompson5910
so my drawing is completely confusing?
anonymous
  • anonymous
No, I'm just confused
anonymous
  • anonymous
Hello?
jim_thompson5910
  • jim_thompson5910
please be more specific where you're stuck
jim_thompson5910
  • jim_thompson5910
all they want for part A is the system of inequalities really
jim_thompson5910
  • jim_thompson5910
and how each inequality is graphed (from that system)
anonymous
  • anonymous
I just don't know, everything is confusing! I should probably just guess and fail, I'm not aloud up this late. Anyways, thx for trying

Looking for something else?

Not the answer you are looking for? Search for more explanations.