Answer:
25 potatoes split between 5 people would be 25÷5=5. So each person will get 5 potatoes.
Answer:
a) 4.33 (three repeating)
b) 3.5
c) 3
d) 0.44
Step-by-step explanation: Mean is all the numbers added up and divided by the amount of items. All the items added together are 78. We have 18 items 78/18 = 4.3 (three repeating). Median is just the middle value. This is between 3 and 4 so 3.5. Mode is the one that shows the most. This is 3. 8 students play games for more than 4 hours. 8/18 = 0.44
#6. the answer is 12 it increases by 4 every time
#8. the answer is every week he runs his miles increase by 5
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 answer is option C. 3
Step-by-step explanation:
