Answer
Find out the value of g(3)  by using the function g(x) = x² + 2 given in the question .
To proof
The function given in the question is
g(x) = x² + 2
Take  x = 3
put x = 3  in the  g(x) = x² + 2
than it becomes
g(3) = 3² + 2
solving the above
we get
g(3) = 9 + 2
g(3) = 11
Thus g(3) = 11  and option (c) is correct .
Hence proved
 
        
                    
             
        
        
        
Simple....

x<6
This means that on your graph at 6 it's a circle (not colored in) and it goes to the left indefinitely...
Thus, your answer.
 
        
        
        
Answer:
P=1/42.
Step-by-step explanation:
We know that the student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretary and Treasurer. We calculate the probability that the President is a Senior:
We calculate the number of possible combinations:

Number of favorable combinations is 5.
Threfore, the probability is 
P=5/210
P=1/42.
 
        
             
        
        
        
Let  denote the value on the
 denote the value on the  -th drawn ball. We want to find the expectation of
-th drawn ball. We want to find the expectation of  , which by linearity of expectation is
, which by linearity of expectation is
![E[S]=E\left[\displaystyle\sum_{i=1}^5B_i\right]=\sum_{i=1}^5E[B_i]](https://tex.z-dn.net/?f=E%5BS%5D%3DE%5Cleft%5B%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5E5B_i%5Cright%5D%3D%5Csum_%7Bi%3D1%7D%5E5E%5BB_i%5D)
(which is true regardless of whether the  are independent!)
 are independent!)
At any point, the value on any drawn ball is uniformly distributed between the integers from 1 to 10, so that each value has a 1/10 probability of getting drawn, i.e.

and so
![E[X_i]=\displaystyle\sum_{i=1}^{10}x\,P(X_i=x)=\frac1{10}\frac{10(10+1)}2=5.5](https://tex.z-dn.net/?f=E%5BX_i%5D%3D%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5E%7B10%7Dx%5C%2CP%28X_i%3Dx%29%3D%5Cfrac1%7B10%7D%5Cfrac%7B10%2810%2B1%29%7D2%3D5.5)
Then the expected value of the total is
![E[S]=5(5.5)=\boxed{27.5}](https://tex.z-dn.net/?f=E%5BS%5D%3D5%285.5%29%3D%5Cboxed%7B27.5%7D)
 
        
             
        
        
        
Cost = number of objects x price per object
$1,475 = x boxes * $25
x = 1,475/25 = 59 boxes of diapers