Answer:
The answer is 364. There are 364 ways of choosing a recorder, a facilitator and a questioner froma club containing 14 members.
This is a Combination problem.
Combination is a branch of mathematics that deals with the problem relating to the number of iterations which allows one to select a sample of elements which we can term "<em>r</em>" from a collection or a group of distinct objects which we can name "<em>n</em>". The rules here are that replacements are not allowed and sample elements may be chosen in any order.
Step-by-step explanation:
Step I
The formula is given as

n (objects) = 14
r (sample) = 3
Step 2 - Insert Figures
C (14, 3) =
= 
= 
= 
= 364
Step 3
The total number of ways a recorder, a facilitator and a questioner can be chosen in a club containing 14 members therefore is 364.
Cheers!
Answer:
4
Step-by-step explanation:
Answer:
You can proceed as follows:
Step-by-step explanation:
First solve the quadratic inequality
. To do that, factorize, then we have that
. This implies that

or

In the first case the solution is the empty set
. In the second case the solution is the interval
. Now we have that
![A=[1,4]](https://tex.z-dn.net/?f=A%3D%5B1%2C4%5D)

.
To show that
consider
. Then
, this implies that
, then
. Now, to show that
consider
, then
, then
, then
, this implies that
.
Observe the image below.
Answer:
The correct option is B.
Step-by-step explanation:
A function is called an exponential function if it has common ratio.
A function is called an linear function if it has common difference.
In option A.



Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.
In option B.



Since the given table has common ratio, therefore it is an exponential function. Option B is correct.
In option C.



Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.
In option D.



Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.
Answer:
E. 38
Step-by-step explanation:
f(-5) means to plug in -5 for x in the given equation
