1: slope = 2/1 or 2
2: slope = 5/-5
3: slope = 3/2
4: slope = 7/-4
5: slope = 3/5
6: slope = 2/-8
7: slope = 6/2 or 3
8: slope = 2/-4
9: slope = 1/6
Answer:
step 1: 100
step 2: is 100
Step 3: 5,600
Step-by-step explanation:
Answer:
g(x), f(x) and h(x)
Step-by-step explanation:
Given
Interval: (0,3)
See attachment for functions f(x), g(x) and h(x)
Required
Order from fastest to slowest decreasing average rate of change
The average rate of change is calculated as:

In this case:

i.e.

For f(x)




Calculate f(3) and f(0)



So:



For g(x)



From the table of g(x)


So:


For h(x)



From the graph of h(x)


So:


So, the calculated rates of change are:



By comparison:
From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>
Answer:
14.13 units^2.
Step-by-step explanation:
The area of a circle is found by doing pi * r^2. In this case, the diameter is 6. 6 / 2 = 3. So, r = 3.
pi * 3^2 = pi * 9 = 9pi.
This is a semicircle, so the area will be half of the whole circle.
9pi / 2 = 4.5 * pi = 4.5 * 3.14 = 14.13 units^2.
Hope this helps!
Assuming they are dice, to work out the probability that the product is 8, the dice either have to be 2 and 4 or 4 and 2. The blue dice therefore has to be a 2 (4 is not less than 3), which is a 1 in 6 probability. The yellow one therefore has to be 4, which again is 1 in 6. The probablility that these both happen at the same time is given when they are multiplied together.

x

=

.
Hope that is useful.