There is not a given equation nor ordered pair, so it is impossible to answer this question. I apologise.
 
        
             
        
        
        
Answer: D. (x-6)(x-6)
Step-by-step explanation:
We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:
 (1)
  (1)
First term: 
  
Third term: 
  
If we factorize this expression we have:
 
As we can see, the trinomial (1) has two factors:
 and
 and  
Therefore, the correct option is D.
 
        
             
        
        
        
Answer:
a) 45 possible outcomes
b) 55 possible outcomes
Step-by-step explanation:
Given:
- Total cavities = 12
- Selection = 3 parts
- Non-conforming cavities = 2
Find:
a) How many samples contain exactly 1 nonconforming part?
b) How many samples contain at least 1 nonconforming part?
Solution:
- The question asks for the use of combinations to express the outcomes for each scenario.
- For first part, we want the inspector to pick exactly one non-conforming part among 3 selected. So let us say that he has already chosen that one non conforming cavity. Now he has to make 2 more selections out of total conforming cavities = 12 - 2 = 10 conforming cavities. Hence, the total possible outcome is to chose 2 randomly from 10 conforming cavities.
                               ( Exactly 1 ) 10C2 = 45 possible outcomes
- The second part entails that at-least 1 non-conforming cavity is selected. To choose exactly 1 non conforming we calculated above. In the similar way calculate for selecting exactly 2 non-conforming cavities. The total possible outcome would be to choose from 10 conforming and we choose 1 from it:
                               ( Exactly 2 ) 10C1 = 10 possible outcomes
- Hence, for at-least 1 non conforming cavity being selected we same the above two cases calculated:
                              (At-least 1 ) =  ( Exactly 1 ) +  ( Exactly 2 )
                              (At-least 1 ) =  45 + 10 = 55 possible outcomes
 
        
             
        
        
        
Answer:
the answer is c
Step-by-step explanation:
Becuase he is given 100 dollars and he uses 20 dollars a day, so you put x with 20 to calculate how many days that he can spend $20 on