Answer:
The correct option is 1.
Step-by-step explanation:
The given parent function is

1. Domain of the function is all positive real number including 0.
2. Range of the function is all positive real number including 0.
3. It is an increasing function. It increases at decreasing rate.
First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.
Second graph is a parabola, so it is the graph of a quadratic function.
Third graph is a rectangular hyperbola, so it is the graph of a rational functions.
Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.
Therefore options 2, 3 and 4 are incorrect.
 
        
                    
             
        
        
        
Answer:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.
Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz2 and −5xyz2 are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all
 
        
                    
             
        
        
        
Answer: C.  
Step-by-step explanation:
Given: Box contains 8 green balls and 4 purple balls.
Total balls = 8+4 = 12
event 1 = first picking green ball 
event 2 = second picking purple balls.
As first ball was replaced, that means both events are independent.
Probability that you have selected a green ball and then a purple ball = P(purple ball )
Formula for probability = 
Probability of selecting a purple ball (second pick)= 

The required probability 
, so C is correct option.
 
        
             
        
        
        
This is Scientific Notation here's what you have to do:
First find the Notation:
8.23×10^5
It positive so go to the right.
=823000.
Next do the same thing but with the next Notation:
3.19×10^8
Its positive so go to the right:
=319000000.
Then compare the Notation's
823000. and 319000000.
319000000. is bigger than 823000. 
So your answer is 319000000. so its United States.