Given three points
P1(-2,8)
P2(0,-4)
P3(4,68)
We need the quadratic equation that passes through all three points.
Solution:
We first assume the final equation to be
f(x)=ax^2+bx+c .............................(0)
Observations:
1. Points are not symmetric, so cannot find vertex visually.
2. Using the point (0,-4) we substitute x=0 into f(x) to get
f(0)=0+0+c=-4, hence c=-4.
3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.
f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)
f(4)=a(4^2)+b(4)-4=68 => 16a+4b-4=68.............(2)
4. Solve system
2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)
substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2 ..........(4)
5. Put values c=-4, a=4, b=2 into equation (0) to get
f(x)=4x^2+2x-4
Check:
f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8
f(0)=0+0-4 = -4
f(4)=4(4^2)+2(4)-4=64+8-4=68
So all consistent, => solution ok.
Answer: The Mean is 12 while the median is 10.
Step-by-step explanation: To find the mean we need to add all points scored which equals 108 points. Next, you will divide this by the number of players that scored points. Because there are 9 players we will follow 108/9=12. To find the median, you write out each number from smallest to largest or largest to smallest and find the number in the middle, this should act somewhat like an average however i would recommend using the mean to find an average. When writing out all the number they should look something like this: 6,7,7,7,10,11,13,23,24
Now that we have written them out, we find the middle most number which is 10 which means that our median is 10.
The mean is 12 points.
The median is 10 points.
Answer:
you have the right answer
Step-by-step explanation:
you can check by multiplying 27 and 12. then multiply 20.25 with 16 and both times you will get 324
Well the measure of angle 1 in problem 1 is 62, in problem 2 is 90, problem 3 is 45, and problem 4 is 60
