anonymous
  • anonymous
how do i find the points to graph these two linear sentences x+2y<=12 and 3x-y>=6? Please show all work.
Mathematics
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.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions.

anonymous
  • anonymous
how do i find the points to graph these two linear sentences x+2y<=12 and 3x-y>=6? Please show all work.
Mathematics
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

Owlfred
  • Owlfred
Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!
amistre64
  • amistre64
you graph the boundary lines: x+2y = 12 and 3x-y = 6
amistre64
  • amistre64
pick a point not on the line; (0,0) is an easy testing point

Looking for something else?

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

More answers

amistre64
  • amistre64
and if those make the equation true; then the side with that point is good, shade it; if false, go with the other side
anonymous
  • anonymous
ah so you can start with any natural number then and plug it into the formula? or no?
anonymous
  • anonymous
equation*
amistre64
  • amistre64
you can, but it helps to see that these are line equations; and you just need 2 points to draw a line with right?
amistre64
  • amistre64
the lines themselves are boundaries for the inequalities; so graph them first;
amistre64
  • amistre64
x+2y = 12 and 3x-y = 6; graph these lines so you establish the boundaries for the inequalitites
amistre64
  • amistre64
then pick a point that is NOT on the line to test for a result. that point will be on one side or the other of the line right? The most conviennt point to test is the origin: (0,0) x+2y<=12 and 3x-y>=6 0+2(0)<=12 and 3(0)-(0)>=6 0 <= 12 and 0 >=6 true false
amistre64
  • amistre64
all the points that make a true stament get shaded; all th epoints that make it false... shade the other side of the line
anonymous
  • anonymous
okay i get it use typing it out really help me... :D
anonymous
  • anonymous
lol you* typing it out...
amistre64
  • amistre64
school comp is slow lol
anonymous
  • anonymous
its so weird maybe im asking the wrong question because my book is giving me 2 lines not one for the answer
amistre64
  • amistre64
the answer has 2 lines; I just demonstrated with 1
anonymous
  • anonymous
o sorry i get it now. i was confused for a second so then i can use the same points (0,0) for the second variable correct?
amistre64
  • amistre64
more like this yes, as long as (0,0)aint on the line your testing, its the easiest one to use
amistre64
  • amistre64
it is the common area that the two have that are solutions
anonymous
  • anonymous
gd i still am confused so now that we have that one line how do we plot the other line? because in the above answer you plug (0,0) into both variables
anonymous
  • anonymous
lemme just write this out and see if i can figure it out before i frustrate you.
amistre64
  • amistre64
you really make 2 solution sets and where they overlap, is the area I shaded
anonymous
  • anonymous
how do i give you a good review?
amistre64
  • amistre64
you might have to hit f5 to refresh your browser and youll see a 'good answer' button next to my name
1 Attachment
anonymous
  • anonymous
know a good free graphing programing?
anonymous
  • anonymous
program*
amistre64
  • amistre64
hmmm.... i use wolframalpha.com alot ; but it suits me
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=3x-y%3E%3D6+and++x%2B2y%3C%3D12
anonymous
  • anonymous
tyvm
amistre64
  • amistre64
youre welcome :)

Looking for something else?

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