Answer:
y=-1x^2 -4x +5
Step-by-step explanation:
Given points (-2, 9), (-4, 5), and (1, 0)
General quadratic equation is y=ax^2 +bx+c
plug in each point and frame three equations
(-2,9)
equation 1
(-4,5)
5 = 16a -4b+c equation 2
(1,0)
0= a + b + c equation 3
Use equation 1 and 3
multiply third equation by -1 and then add it with equation 1
4a - 2a + c = 9
-a -b -c = 0
---------------------
3a - 3b = 9
divide whole equation by 3
a - b = 3 equation 4
use equation 2 and 3
16a -4b+c = 5
-a -b -c =0
------------------------
15a -5b = 5
divide whole equation by 5
3a -b= 1 equation 5
use equation 4 and 5 . multiply equation 5 by -1
-3a +b =-1
a - b = 3
-----------------------
-2a = 2
a= -1
plug it in equation 4 and find out b
a - b = 3
-1 - b = 3
add 1 on both sides
-b = 4 so b= -4
Now plug in the values and find out c
a + b+c = 0
-1 -4 + c= 0
-5 +c =0
c=5
Now plug in the values in the general equation
y=ax^2 +bx+c
y=-1x^2 -4x +5
Answer:
80% Confidence interval: (0.4603,0.7397)
Step-by-step explanation:
We are given the following in the question:
Sample mean, 
= MD = 0.60 points
Sample size, n = 9
Sample variance = 0.09
Sample standard Deviation =
80% Confidence interval:
Putting the values, we get,
Answer:
7th grade team
Step-by-step explanation:
6th grade team: 16/4= 4 pumpkins per min
7th grade team: 48/8= 6 pumpkins per min
Therefore, the 7th grade team picked more pumpkins per min
Answer:
C
Step-by-step explanation:
Area of the triangle is cm^2 which makes A and D not true.
Formula
Area = 1/2 * b * h
b = 7
h = 5
Area = 1/2 * 7 * 5
Area = 1/2 35
Area = 17.5 cm^2
1. Annual percent increase in rent is basically just a percentage of the rent increased each year.
2. Heater: Use fire places, or lower the amount of air conditioning usage so it's not so cold.
Electricity: Turn off ceiling fans and lights when not used, or only allow the essential things to use electricity.
Water: Not leave faucets or showers running, or no bathtubs which prevents baths.
3. The couple could save $450 in one year because 3000 divided by 0.15 which is the 15%, equals to the total amount saved at $450.
4. Groceries/everyday essentials, Gas money, taxes, pay off loans.
