Answer:
-4 is the average rate of change from 3 to 4
Step-by-step explanation:
Average rate of change is defined as the fraction of change in f(x) value to change in x value.
Here we have x values as 3 and 4.
To find the average rate of change from x=3 to x=4
Average rate of change = change in f(x)/change in x
f(4) = -5^{4-3} +2 = -3\\f(3) = 1\\f(4)-f(3) = -3-1 =-4
Change in x = 4-3 =1
Answer:
123
Step-by-step explanation:
Answer:
The answer is -(29+3a).
Step-by-step explanation:
=2(3-4a)+5(a-7)
= 6- 8a +5a -35
= 6-35-8a+5a
= -29-3a
= -(29+3a)
<em>Hope</em><em> </em><em>it helps</em><em>.</em><em>.</em>
Answer:
a) S = {1, 2, 3}
b) P(odd number) = 
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) = 
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is 
. Then that of 3 is 
(because it is twice the others). The sum of probabilities must be 1.
P(odd number) = 
Prob(1) + Prob(3)
= 
= 
We have the following function:
f (x) = x ^ 2
We have the following transformation:
Expansions and horizontal compressions
The graph of y = f (bx):
If 0 <b <1, the graph of y = f (x) expands horizontally by the factor of 1 / b.
Applying the transformation:
y = (0.2x) ^ 2
The factor is:
1 / b = 1 / 0.2 = 5
Answer:
b. expanded horizontally by a factor of 5
