Step-by-step explanation:
![y = a {(x - h)}^{2} + k](https://tex.z-dn.net/?f=y%20%3D%20a%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20k)
![vertex = (h \: \: \: k)](https://tex.z-dn.net/?f=vertex%20%3D%20%28h%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20k%29)
from the table
![vertex = ( - 2 \: \: \: 4)](https://tex.z-dn.net/?f=vertex%20%3D%20%28%20-%202%20%5C%3A%20%20%5C%3A%20%20%5C%3A%204%29)
therefore
![h = - 2 \: \: and \: \: k = 4](https://tex.z-dn.net/?f=h%20%3D%20%20-%202%20%20%5C%3A%20%20%5C%3A%20and%20%5C%3A%20%20%5C%3A%20k%20%3D%204)
![y = a {(x + 2)}^{2} + 4](https://tex.z-dn.net/?f=y%20%3D%20a%20%7B%28x%20%20%2B%202%29%7D%5E%7B2%7D%20%20%2B%204)
when x= 0, y = 3
![3 = a {(2)}^{2} + 4](https://tex.z-dn.net/?f=3%20%3D%20a%20%7B%282%29%7D%5E%7B2%7D%20%20%2B%204)
![3 = 4a + 4](https://tex.z-dn.net/?f=3%20%3D%204a%20%2B%204)
![a = \frac{ - 1}{4}](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B%20-%201%7D%7B4%7D%20)
therefore equation of the function
![y = - \frac{1}{4} {(x + 2)}^{2} + 4](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%7B%28x%20%2B%202%29%7D%5E%7B2%7D%20%20%2B%204)
B, Rate because the percent is basically the rate they mark up the quantity or whatever it is applied to. :)
The number of months it will take for Aden to have more coins than Caliana is greater than 5 months
<h3 /><h3>How to write and solve equation?</h3>
Aden:
- Number of coins bought per month = 15
Caliana:
- Number of coins sold from her collection = 5
let
x = number of months
Aden = Caliana
15x > 100 - 5x
collect like terms
15x + 5x > 100
20x > 100
x > 100/20
x > 5 months
Learn more about equation:
brainly.com/question/2972832
#SPJ1
Answer:
<u>no solution</u>
Step-by-step explanation:
Given :
<u>-3(4n+1) < -6(2n-6)</u>
<u />
Divide by -3 on each side (and remember to change the sign) :
-1/3 x -3(4n+1) < -1/3 x -6(2n-6)
4n + 1 > 2(2n - 6)
Expand the RHS :
4n + 1 > 2(2n) - 2(6)
4n + 1 > 4n - 12
Solution :
As the coefficient of x is the same on both sides, and the constants are different, this inequality has <u>no solution</u>
Step-by-step explanation:
23×18
now do it by yourself,,, baii