Question

hlp

Answer 1

@jim_thompson5910 Help idk how to do this

Answer 2

I suggest your first step is to graph all of the inequalities on the same xy plane

Answer 3

desmos is probably a handy tool for that

https://www.desmos.com/calculator

Answer 4

Ok and then what?

Answer 5

tell me when you have your graph all done

Answer 6

How do I graph them all on the same plane

Answer 7

so you haven't graphed any of them?

Answer 8

Idk how to do it on desmos

Answer 9

well to type in something like \(\LARGE x \ge 1\) you would type in `x >= 1`

the `>=` means "greater than or equal to"

Answer 10

Ok I have the graph

Answer 11

it might be really hard to see, but do you see where ALL of the regions overlap?

Answer 12

yes i can see that

Answer 13

what is the shape of that region I'm referring to?

Answer 14

close

Answer 15

This one

Answer 16

yes, the trapezoid

Answer 17

find the corner points of the trapezoid

Answer 18

(3, 4)

Answer 19

(3,4) is not one of those 4 corner points

Answer 20

Oh (3, 3.5)

Answer 21

that's one of them

Answer 22

and (1, 4.5)

Answer 23

good, there are 2 more

Answer 24

(1,0) and (3,0)

Answer 25

very good

Answer 26

now plug each point into the f(x,y) function and record the outputs

Answer 27

Wait so how would I plug them in?

Answer 28

Can you do the first one so I can see what it looks like

Answer 29

Plugging in (x,y) = (1,0)
\[\Large f(x,y) = 2x - y + 2\]
\[\Large f(1,0) = 2*1 - 0 + 2\]
\[\Large f(1,0) = 4\]

Answer 30

so the answer would be 4?

Answer 31

no, that's just one output

Answer 32

plug in the other corner points and tell me what the outputs are

Answer 33

wait we r finding the minimum value right?

Answer 34

yeah you're looking for the smallest output of f(x,y)

Answer 35

oh so how do i do the next ones/

Answer 36

plug in (x,y) = (3,0) to get f(3,0) = ???

Answer 37

f(3,0)=0??

Answer 38

try again

Answer 39

i srsly have no idea @jim_thompson5910

Answer 40

replace every x in 2x-y+2 with 3
replace every y in 2x-y+2 with 0

Answer 41

you might be overthinking or overcomplicating things?

Answer 42

Pick an answer and explain.