Since you have 11 entries, you have 11 possible winners.
For each winner, you have 10 possible second-place finishers.
For each pair first-second place, you have 9 possible 3rd place finishers.
The possibilities are 11×10×9 = 990
Therefore, you have to buy 990 tickets.
Answer:
both functions have the same graph
Step-by-step explanation:
The first function is described in terms of its slope and y-intercept, so can be written in slope-intercept form as ...
y = mx + b . . . . m = slope (-7/9); b = y-intercept (3)
y = -7/9x +3
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The second function is written in point-slope form:
y -k = m(x -h) . . . . m = slope (-7/9), point = (h, k) = (18, -11)
y +11 = -7/9(x -18)
If we rearrange the second equation to the form of the first, we get ...
y = -7/9x +14 -11 . . . . eliminate parentheses, subtract 11
y = -7/9x +3 . . . . . . . matches the equation of the first function
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Both functions describe the same relation.
Answer:

Step-by-step explanation:
Point-slope form of the equation of a straight line is:
(1)
The two points given in the problem are:

So, the slope of the line is given by:

And substituting into eq.(1), we find:

This is a arithmetic sequence, so all we need to do is subtract the numbers and find the common difference.
40 - 24 = 16
56 - 40 = 16
72 - 56 = 16
Therefore, the common difference is 16.
Best of Luck!
Step-by-step explanation:
HOPE ITS HELP