Answer:
The value is  
 
Step-by-step explanation:
From the question we are told that 
       
And that 
      
So the number of sand grain that is in  is mathematically evaluated as
 is mathematically evaluated as 
        
 
 =>   
 
 
        
             
        
        
        
First you distribute the 3 
(3x-12) (x+5)=0
then you set each equation equal to zero
3x-12=0 & x+5=0
then you solve for x 
x =4, -5
        
                    
             
        
        
        
Answer:
The correct option is 4.
Step-by-step explanation:
The given function is

Where f(x) is height of the ball and x is the distance.
It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

Factorize the given function.





Put f(x)=0 to find the x intercepts.

Equate each factor equal to 0.

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.
Distance cannot be negative, therefore the reasonable domain must be positive.

Therefore the reasonable domain is  and option 4 is correct.
 and option 4 is correct.
 
        
             
        
        
        
Answer:
Of(7) = f(1) + 24 
Step-by-step explanation:
Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units): 

 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
center: (-2,3)
Radius: 5