anonymous
  • anonymous
hlp
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
@jim_thompson5910 Help idk how to do this
jim_thompson5910
  • jim_thompson5910
I suggest your first step is to graph all of the inequalities on the same xy plane

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jim_thompson5910
  • jim_thompson5910
desmos is probably a handy tool for that https://www.desmos.com/calculator
anonymous
  • anonymous
Ok and then what?
jim_thompson5910
  • jim_thompson5910
tell me when you have your graph all done
anonymous
  • anonymous
How do I graph them all on the same plane
jim_thompson5910
  • jim_thompson5910
so you haven't graphed any of them?
anonymous
  • anonymous
Idk how to do it on desmos
jim_thompson5910
  • jim_thompson5910
well to type in something like \(\LARGE x \ge 1\) you would type in `x >= 1` the `>=` means "greater than or equal to"
anonymous
  • anonymous
Ok I have the graph
anonymous
  • anonymous
jim_thompson5910
  • jim_thompson5910
it might be really hard to see, but do you see where ALL of the regions overlap?
anonymous
  • anonymous
yes i can see that
jim_thompson5910
  • jim_thompson5910
what is the shape of that region I'm referring to?
jim_thompson5910
  • jim_thompson5910
close
anonymous
  • anonymous
jim_thompson5910
  • jim_thompson5910
yes, the trapezoid
jim_thompson5910
  • jim_thompson5910
find the corner points of the trapezoid
anonymous
  • anonymous
(3, 4)
jim_thompson5910
  • jim_thompson5910
(3,4) is not one of those 4 corner points
anonymous
  • anonymous
Oh (3, 3.5)
jim_thompson5910
  • jim_thompson5910
that's one of them
anonymous
  • anonymous
and (1, 4.5)
jim_thompson5910
  • jim_thompson5910
good, there are 2 more
anonymous
  • anonymous
(1,0) and (3,0)
jim_thompson5910
  • jim_thompson5910
very good
jim_thompson5910
  • jim_thompson5910
now plug each point into the f(x,y) function and record the outputs
anonymous
  • anonymous
Wait so how would I plug them in?
anonymous
  • anonymous
Can you do the first one so I can see what it looks like
jim_thompson5910
  • jim_thompson5910
Plugging in (x,y) = (1,0) \[\Large f(x,y) = 2x - y + 2\] \[\Large f(1,0) = 2*1 - 0 + 2\] \[\Large f(1,0) = 4\]
anonymous
  • anonymous
so the answer would be 4?
jim_thompson5910
  • jim_thompson5910
no, that's just one output
jim_thompson5910
  • jim_thompson5910
plug in the other corner points and tell me what the outputs are
anonymous
  • anonymous
wait we r finding the minimum value right?
jim_thompson5910
  • jim_thompson5910
yeah you're looking for the smallest output of f(x,y)
anonymous
  • anonymous
oh so how do i do the next ones/
jim_thompson5910
  • jim_thompson5910
plug in (x,y) = (3,0) to get f(3,0) = ???
anonymous
  • anonymous
f(3,0)=0??
jim_thompson5910
  • jim_thompson5910
try again
anonymous
  • anonymous
i srsly have no idea @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
replace every x in 2x-y+2 with 3 replace every y in 2x-y+2 with 0
jim_thompson5910
  • jim_thompson5910
you might be overthinking or overcomplicating things?
anonymous
  • anonymous
Pick an answer and explain.

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