By definition we have that the average rate of change of the function is:
Evaluating the function for the complete interval we have that the AVR is given by:
Rewriting we have:
Simplifying the expression we have:
Answer:
the average rate of change of the function defined by the table is:
Step One
Figure out the cost for 1 cartridge
Cost = 90
<u>Refund = 8 Subtract</u>
Net cost = 82
Step Two
Find the cost for 14
14 * 82 = 1148 <<<<<< Cost for 14
Answer:the floor area of the production line is 20000 m^2
Step-by-step explanation:
Let x represent the total area of the factory.
In the factory, two thirds of the floor are is taken up by the production line. This means that the area of the production line is 2/3 × x = 2x/3 m^2
The remaining floor area would be
x - 2x/3 = x/3 m^2
Out of the remaining floor area,three fifths is taken up by the office space. This means that the area taken up by the office space would be 3/5 × x/3 = x/5 m^2
The remaining area would be
x/3 - x/5 = 2x/15
The rest is warehouse space. The warehouse space occupies 2000m2. This means that
2x/15 = 2000
2x = 15 × 2000 = 30000
x = 30000/2 = 15000m^2
The floor area of the production line would be
(2 × 30000)/3 = 20000 m^2
A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2) = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is y = 1x + 48
Make standard form.
<span>x - y = -48</span>
11!/4!2! = 39916800/24(2)= 831600
