Substitute x-values into x.
e.g. y>-3.5x + 2
let x be 1...
thus, y>-3.5(1) + 2
y> -1.5 or y<1.5
another e.g. let x be 2.
y> -3.5(2) + 2
y> -4.4 or y<4.4
And so forth. pluck in these coordinates into you graph and sketch a line through the points.
NOTE: < in my explanation is equivalent to less than or equal to. same goes to >… greater than or equal to.
I hope you followed through. Good luck!
Answer:
2d
Step-by-step explanation:
Im guessing 2 is also being added. Well basically you add 8 2 and negative 10, which gives you zero, and the value that is left from that is 2d, so its 2d
Corner points in this graph are: ( 0,0 ) ( 0,8 ) ( 5,6 ) and ( 8, 0 ).
If we plug those values in : P = 2 x + 3 y
P ( 0,0 )= 0
P ( 0,8 ) = 2 * 0 + 3 * 8 = 24
P ( 6 , 5 ) = 2 * 6 + 3 * 5 = 12 + 15 = 27
P ( 8 , 0 ) = 2 * 8 + 3 * 0 = 16
The maximum value is:
P max ( 6 , 5 ) = 27
ANSWER: (4,26)
Comment below if you have any questions or want an explanation: