Answer:
a) The rate of change is 3.5
b) The rate of change represents the price of a single cookie. $3.5
Step-by-step explanation:
a) To determine the rate of change along the graph, select a pair on the graph as;
(2,7) and (8,28)
Rate of change, m= change in y/change in x
m=28-7/8-2 = 21/6 =7/2 = 3.5
b)
The equation of the relationship can be written as;
y=3.5 x + 0 where y is the amount collected and x is the number of cookies sold.
The slope here represents the price per cookie in $, $3.5
Answer:
the opposite number is going to be negative because if x is to the right of the number line then the opposite will be of the left of 0 making the opposite number negative.
Step-by-step explanation:
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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
Answer:
44.2381
Step-by-step explanation:
Substitute y = -2x + 4 into 7y = -14x +28
7y = -14x +28
7(-2x + 4)= -14x +28
-14x + 28 = -14x +28
0 = 0
answer
infinitely many solutions