Answer:
Option (3)
Step-by-step explanation:
Explicit formula of the sequence is,

From this explicit formula, 
First term of the sequence will be,


Second term of the sequence,

 = 13
 = 13
3rd term of the sequence,

    = 31
Sequence formed,
7, 13, 31 ..........
From the given options,
Recursive formula,



 = 13
 = 13



     = 39 - 8
     = 31
Sequence formed from this recursive formula will be,
7, 13, 31........
Therefore, Option (3) will be the answer.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Let b
Bill's rate of travel = x
Let Julie's rate of travel = 3x
The time each travels is 2.5 hours
Together they travel a distance of 190 miles
d = r*t
Bill's distance covered is r * t = 2.5x
Julie's distance travel is 2.5 * 3x = 7.5x
The total distance = Bill + Julie
2.5x + 7.5x = 190
10x = 190
x = 190/10
x = 19
Bill's distance = 2.5 * 19 = 47.5
Julie's distance = 19 * 7.5 = 142.5
Rate = distance / time
Bill's rate = 47.5 / 2.5 = 19 miles per hour.
Julie's rate = 142.5/2.5 = 57 miles per hour
Is there an easier way?
You should notice that Bill's rate is just x which is 19 miles / hour
You can also notice that Julie is going 3 times as fast or 19*3 = 57 
 
        
             
        
        
        
Answer:
I don't know how to do it...
 
        
                    
             
        
        
        
1.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-2);y=-x-2 
D.y=-x 
2.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-1);y=-3/2x-6 
C.y=-3/2x+2  
3.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (4,2);x=-3 
 D.y=4 
4.Write an equation in slope- intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (-2,3);y=1/2x-1 
B.y=-2x-1 
5.Write an equation in slope- intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (5,0);y+1=2(x-3) 
 D.y=-1/2x+5/2
        
             
        
        
        
No. If you plug in the points, you have 2=5(4). 2=20 is not true, so it does not satisfy it