Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
 
        
             
        
        
        
Answer:
   32
Step-by-step explanation:
The number that take algebra i includes those who take both subjects, as does the number taking algebra ii. Then the number taking algebra i alone is ...
    18 -10 = 8 . . . . . take only algebra i
So the number taking any kind of algebra is ...
   20 + 8 = 28
and the number not taking either subject is ...
   60 -28 = 32 . . . not taking either subject
 
        
             
        
        
        
Answer:
Cluster
Step-by-step explanation:
The Cluster sampling technique involves choosing a population to be studied and dividing it into clusters that truly represent the population, through random sampling. In the question above, all the customers in the restaurant represent the population to be studied. Since all the customers can not be interviewed at that time, clusters, in the form of tables are formed through random sampling. 
It is necessary for the researcher to ensure that the customers in all the table clusters truly represent the population.
 
        
             
        
        
        
Answer:
10x9-5(8)=34
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Option A, 2^(1/6)
Step-by-step explanation:
 <u> is same as 2^(1/2)</u>
<u> is same as 2^(1/2)</u>
<u />![\sqrt[3]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%7D) <u> is same as 2^(1/3)</u>
<u> is same as 2^(1/3)</u>
<u />
2^(1/6)
Answer:  Option A, 2^(1/6)