Answer:
36,060,024 ways
Step-by-step explanation:
To choose the winner in this case, the order is very important because it determines who is chosen first out of the seventy-nine customers whose names were entered for the draw.
The above supports the reason Permutation will be used instead of Combination.
The total number of ways is given by:
⁷⁹P₄ = 79!/(79-4)!
= 79!/75!
= [79 x 78 x 77 x 76 x75!]/75!
= 79 x 78 x 77 x 76
= 36,060,024 ways
This implies that there are 36,060,024 ways the Bean Coffee Shop could choose the winners.
Answer:
Step-by-step explanation:
slope = y2-y1/x2-x1
Given the coordinates (k,6k) and (3k,10k)
x1 = k
y1 = 6k
x2 = 3k
y2 = 10k
Substitute
slope = 10k-6k/3k-k
slopw = 4k/2k
slope = 4/2
slope = 2
Hence the slope of the line is 2
Well, let's first write these as points.
( 2 , 50 )
( 4 , 100 )
We can see that when "x" is reduced by 2, "y" is reduced by 50. This means that if we reduce "x" by 1, "y" will be reduced by 25. Thus, we can say that if "x" is 1, "y" will be 25.
( 1 , 25 )
What we know that 25 * 1 = 25, and that 2 * 25 = 50. We can see that multiplying "x" by 25 will give us our "y". We can now write this as an equation.
y = 25x
Answer:
See graph in attachment.
Step-by-step explanation:
The graph of 
is a parabola that has its vertex at the origin.
The equation of the transformed graph is
The vertex of this transformed function is
Drag the blue graph up so that the vertex will now be at (4,3).
See graph in attachment.
