Answer:
y = 3
Step-by-step explanation:
(5y - 3)/4 + 6 = 3y
5y - 3 + 24 = 12y
7y = 21
y = 3
Check. 
(5*3 - 3)/4 + 6 = 3*3
(15 - 3)/4 + 6 = 9
12/4 + 6 = 9
3 + 6 = 9
9 = 9
 
        
                    
             
        
        
        
Answer:
 probability of picking the winning combination
 probability of picking the winning combination
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Since the order is not important, the combinations formula is used to solve this question.
Combinations formula:
 is the number of different combinations of x objects from a set of n elements, given by the following formula.
 is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
The correct five numbers from a set of 5. So

Total outcomes:
Five numbers from a set of 35. So

Probability:

 probability of picking the winning combination
 probability of picking the winning combination
 
        
             
        
        
        
Answer: 44 dollars
Step-by-step explanation:
 
        
                    
             
        
        
        
To find the slope of g(x), use the slope formula(m):
 And plug in two points, I will use:
        And plug in two points, I will use:
(0, 2) = (x₁, y₁)
(5, 4) = (x₂, y₂)



You could do the same to find f(x) by finding two points and using the slope formula, or you could use this to tell visibly:

Rise is the number of units you go up(+) or down(-) from each distinguished point
Run is the number of units you go to the right from each distinguished point
If you look at the graph, you can see the points (0, -1) and (3, 1). From each point, you go up 2 units and to the right 3 units (you can make sure by using another point). So the slope of f(x) is  
Whichever line looks more vertical(and is positive) has the greater slope. So the slope of f(x) is greater than the slope of g(x). The answer is option A