Answer:
-5
Step-by-step explanation:
4x - 1 = 6x + 9
4x = 6x + 10
-2x = 10
x = -5
Answer:
Step-by-step explanation:
60 guests are there with 10 circular tables of 6 seats each.
First we have to select 6 persons from 60 for I table and next 6 persons for II table etc.
i.e.first table can be assigned 6 people in 60C6 ways
II table from remaining 54 in 54C6 ways
....
Each table with 6 persons can be arranged in a circular table in 5! ways
(since Two seating arrangements are considered the same if the person to the left of each person is unchanged)
Thus no of ways of allotting persons to different tables
= 60C6*54C6*48C6*42C6...*6C6
Each table allotment is in (6-1)! = 5! ways
Total ways of seating arrangement =![(5!)^6 *60C6*54C6*...*6C6\\= (5!)^6 *(\frac{60!}{54!6!} )*(\frac{54!}{48!6!} )*(\frac{48!}{42!6!} )*(\frac{36!}{30!6!} )*(\frac{24!}{18!6!} )*(\frac{12!}{6!6!} )*1](https://tex.z-dn.net/?f=%285%21%29%5E6%20%2A60C6%2A54C6%2A...%2A6C6%5C%5C%3D%20%285%21%29%5E6%20%2A%28%5Cfrac%7B60%21%7D%7B54%216%21%7D%20%29%2A%28%5Cfrac%7B54%21%7D%7B48%216%21%7D%20%29%2A%28%5Cfrac%7B48%21%7D%7B42%216%21%7D%20%29%2A%28%5Cfrac%7B36%21%7D%7B30%216%21%7D%20%29%2A%28%5Cfrac%7B24%21%7D%7B18%216%21%7D%20%29%2A%28%5Cfrac%7B12%21%7D%7B6%216%21%7D%20%29%2A1)
Arc AC would be 90 degrees because the line is bisects the straight line (180 Degrees)
Answer: 90 Degrees
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Honors Pre-calc Quick Check
1. Determine the interval on which this function is constant
(-2,2)
2. Identify the x-values for which f(x)>-2
{x|2<x<8}
3. The figure shows the graph of the function y=(x-1)^2-4. Identify the x-values for which the function in increasing.
{x|x>1}
4. Identify the x- and y-intercepts of the graph
X-intercepts: (-1,0) and (3,0)
y-intercepts: (0,-3)
5. a batter hits a baseball into the air at an angle. The height of the ball in feet, is modeled by a quadratic function h(t), where t represents time, measured in seconds. Use the graph of the function to determine which pf the following statements most accurately models the height of the ball 5 seconds after is was hit.
h(5)=75
I hope you have a great day!