Answer:
Step-by-step explanation:
Explanation:
The
average rate of change
of g(x) over an interval between 2 points (a ,g(a)) and (b ,g(b) is the slope of the
secant line
connecting the 2 points.
To calculate the average rate of change between the 2 points use.
∣
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
g
(
b
)
−
g
(
a
)
b
−
a
a
a
∣
∣
∣
−−−−−−−−−−−−−−−
g
(
6
)
=
6
2
−
6
+
3
=
33
and
g
(
4
)
=
4
2
−
4
+
3
=
15
Thus the average rate of change between (4 ,15) and (6 ,33) is
33
−
15
6
−
4
=
18
2
=
9
This means that the average of all the slopes of lines tangent to the graph of g(x) between (4 ,15) and (6 ,33) is 9
Answer:
<u>t = t₀ - 3n</u>
Step-by-step explanation:
Let t be the temperature and t₀ be the initial temperature of the day
Let n be the number of hours after the initial temperature ( t₀) was registered
Let -3 be the constant of change of temperature ( In 4 hours it went down 12 degrees)
Now, let's write down the expression that shows the temperature change each hour, this way:
t = t₀ - 3n
After 2 hours
t = t₀ - 3 * 2 = t₀ - 6
After 5 hours
t = t₀ - 3 * 5 = t₀ - 15
After 3 hours and 30 minutes
t = t₀ - 3 * 3.5 = t₀ - 10.5
Answer:
the probability of not winning is 0.9946
Step-by-step explanation:
The computation of the probability of not winning is shown below:
The Probability of winning is
= 7 ÷ 1302
So, the probability of not winning is
= 1 - 7 ÷ 1302
= (1302 - 7) ÷ 1302
= 1295 ÷ 1302
= 165 ÷ 186
= 0.9946
Hence, the probability of not winning is 0.9946
The same is considered
The only point which is a solution is C