The Lagrangian is
It has critical points where the first order derivatives vanish:
From the first two equations we get
Then
At these critical points, we have
(maximum)
(minimum)
All you have to do is write a positive number. let's say 4, then write a positive exponent (that's the tiny number in the right corner of the regular number) and then just write a positive exponent less than 4.
So 4 squared
(5 Neighbors) x (($1.00 Box) + (? Plant) + ($3.00 Gloves)) = 42.50
5 x (1 + x + 3) = 42.50
Combine in parens.
5 x (4 + x) = 42.50
Distribute.
20 + 5x = 42.50
Subtract 20 from both sides.
5x = 22.50
Divide both sides by 5.
x = 4.50
Thats the cost of each plant.
Check.
5 x (1 + 4.50 + 3)
5 x 8.50 = 42.50
10 minutes left of homework
Answer:
x=-9, y=5. (-9, 5).
Step-by-step explanation:
x-3y=-24
5x+8y=-5
--------------
x=-24+3y
5(-24+3y)+8y=-5
-120+15y+8y=-5
-120+23y=-5
23y=-5-(-120)
23y=-5+120
23y=115
y=115/23
y=5
x-3(5)=-24
x-15=-24
x=-24+15
x=-9
