Answer:

Step-by-step explanation:
<u>Exponential Function</u>
When we need to express the exponential relation between two variables, we use the equation

where C, r are constants to be determined by using the given points from the table
For x=0, y=2, thus

We find that C=2
The equation is now

Now we use the point x=1, y=1

We find that 

Thus, the equation is

Rearranging

The required equation is

We can easily verify the last two points are also obtained by using the equation
 
        
             
        
        
        
Answer:
(2×1+2)+(2×2+2)+(2×3+2)+(2×4+2)
=28
 
        
             
        
        
        
The question is asking you to organize the data in line plot form. to do so you must create a number line (which in this case is provided for you) and put X's above the numbers. for example lets say your given the following data :
1, 2 ,2 , 4 , 1 , 3 , 2 , 5 
this is how you would graph it in line plot form 
x .      x
x .      x .           x .         x .          x
_________________________________________
1 . . .   2 .          3 .         4 .          5
  
but in your case not al the numbers listed are on the plot so instead you do this:
x .    x
x .    x .      x .      x .        x
___________________________________
1 .              3 .                5 . 
plot as if the numbers are there. ( as usual spacing is important)
        
                    
             
        
        
        
Answer:
The lines are parallel. 
Step-by-step explanation:
Given the lines


Writing the equations in the slope-intercept form

where m is the slope and b is the y-intercept


Thus, the slope = m₁ = -2/3
also

Thus, the slope = m₂ = -2/3
- We know that parallel lines have equal slopes
As 
m₁ = m₂
Thus, the lines are parallel. 
 
        
             
        
        
        
Answer:
b. -2/3
Step-by-step explanation:
in addition a negative plus a negative does not equal a positive so we can already assume the answer is b but to be safe we can work this problem out in this way: 1/9 + 5/9 = 6/9 we simplify 6/9 and we get 2/3 so we slap the negative back on and boom -2/3