Answer:
 Domain = [5,∞)
Step-by-step explanation:
Given: 
We are given that f(x) is shifted right by 5 units.
Rule : f(x)→f(x-b)
The graph f(x) shifted b units right
So, using rule :  →
 →    
 
So, 
Now to find domain:


So, Domain = [5,∞).
 
        
             
        
        
        
Answer:

Step-by-step explanation:
We have been given that vector v has a direction of (5,3). We are asked to find direction angle for v to nearest degree.
We know that direction of vector with components  can be determined by
 can be determined by  .
.
Upon substituting the components of given vector in above formula, we will get:


Upon rounding to nearest degree, we will get:

Therefore, the direction angle for vector v is 31 degrees.
 
        
             
        
        
        
Answer:
24
Step-by-step explanation:
6 / 1 / 4 =
6 x 4 = 
24
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...
   y = a(x -3)² +b
Filling in the values from the first two table points, we get
   For (x, y) = (0, 6):
      6 = a(0 -3)² + b       ⇒   9a +b = 6
   For (x, y) = (2, 22):
      22 = a(2-3)² +b       ⇒   a +b = 22
Subtracting the second equation from the first gives ...
   (9a +b) -(a +b) = (6) -(22)
   8a = -16 . . . . . . collect terms
   a = -2 . . . . . . . . divide by 8
The second equation above tells us ...
   b = 22 -a = 22 -(-2) = 24
So, our equation for y is ...
   y = -2(x -3)² +24
__
The value of y for x=5 is ...
   y = -2(5 -3)² +24 = 16
The height of the ball after 5 seconds is 16 feet.