a softball league has 13 teams, if every team must play every other team in the first round of league play, how many games must be scheduled
Answers
Answer:
78 games
Step-by-step explanation:
Think of it this way. Let's name the teams Team 1 through Team 13. Team 1 needs to have 12 games to play each other team. Once those are scheduled, Team 2 needs to have 11 games scheduled to play all the other teams (remember their game against Team 1 was already scheduled). Team 3 needs to have 10 games scheduled to play all the other teams (remember their games against Team 1 and Team 2 have already been scheduled). This patten continues until you schedule a single game between Team 12 and Team 13. So the total number of games that need to be scheduled are:
12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 78
I don't know if the concept of triangular numbers has been touched on in your class, but if so, there is a much simpler way to calculate this using the triangular number formula with n = 12. The formula is:
T = (n * (n + 1)) / 2
So in this case:
(12 * (12 + 1)) / 2 = (12 * 13) / 2 = 6 * 13 = 78
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Answers
Answer:
there isn't even a y here
Step-by-step explanation:
Did you not write the while question?
Answers
Answer:
x-intercept = 10
y-intercept = -8
Step-by-step explanation:
To identify the y-intercept, we will need to format the equation in the form . We can start by subtracting
from both sides of the equation:
Divide both sides of the equation by the coefficient of , which is
:
The is representative of the y-intercept in
.
Identify in the equation
:
Therefore, our y-intercept is -8.
To solve for the x-intercept, replace the in the equation
with a zero:
Add to both sides of the equation:
You can go ahead and divide by
to get rid of the fraction:
Divide both sides of the equation by the coefficient of , which is
:
Therefore, our x-intercept is 10.
B) f(x) = 8x3 − 24x2 − 48x + 64
C) f(x) = x3 + 3x2 − 6x − 8
D) f(x) = 8x3 + 24x2 − 48x − 64
Answers
Answer:
See image
Step-by-step explanation:
Check out the y-intercepts for these equations and look at the y-intercept on the graph. The y-intercept is the point where x=0. So it's mental math you can do in a couple of seconds per equation. If x=0 all the x terms are zero and the y-intercept is just the constant at the end if the equation. I put a note on the graph and the answer choices. The constant is the y-intercept. Only one choice matches. See images.
Answers
Answer:
–9 < x – 4 < 9
4 cm
6 cm
6 cm
Answers
Answer:
30 cm²
Step-by-step explanation:
6*(4+6)/2=30 cm²
Answers
Answer:
0.592
Step-by-step explanation:
Total Number of Students =125
Out of these, 74 reported that they have completed their required English 101 course.
To find the best point estimate for the proportion of students at the college who have completed their required English 101 course, we divide the number of students who said "yes" by the total number of students.