Answer:
(-2, 6.5)
Step-by-step explanation:
Wayne can follow the line from (-2, 0) up to where it crosses the graphed line. The crossing point is approximately halfway between 6 and 7 on the graph, so can be considered to be 6.5.
If we put x=-2 into the equation and evaluate, we get ...
... y = (-3/4)(-2) +5 = 6/4 +5 = (1 1/2) +5 = 6 1/2
Thus the solution is (-2, 6 1/2).
Answer:
0.688
Step-by-step explanation:
There are 16 people total and 11 cookies.
This can be represented as:
,
which converted into a decimal is:
0.688
Answer:
Step-by-step explanation:
Volume =
find partial derivatives using product rule
i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3