ANSWER
![f(x) = (x + 3)^{2} - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20%20%2B%20%203%29%5E%7B2%7D%20%20-%201)
EXPLANATION
The vertex of the graph is at
![(-3,-1)](https://tex.z-dn.net/?f=%28-3%2C-1%29)
The equation of the graph in vertex form is given by the formula,
![f(x) = a{(x - h)}^{2} + k](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20a%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20k)
The above graph has a minimum point, hence
![a > \: 0](https://tex.z-dn.net/?f=a%20%3E%20%20%5C%3A%200)
When we put these values into the equation we obtain,
![f(x) = a(x - - 3)^{2} + - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%28x%20-%20%20-%203%29%5E%7B2%7D%20%20%20%2B%20%20-%201)
This implies that,
![f(x) = a(x + 3)^{2} - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%28x%20%20%2B%20%203%29%5E%7B2%7D%20-%201)
The point (-2,0) lies on the line.
![a( - 2 + 3)^{2} - 1 = 0](https://tex.z-dn.net/?f=a%28%20-%202%20%2B%203%29%5E%7B2%7D%20%20%20%20-%201%20%3D%200)
![a = 1](https://tex.z-dn.net/?f=a%20%3D%201)
![f(x) = (x + 3)^{2} - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20%20%2B%203%29%5E%7B2%7D%20%20-%201)
The correct answer is D.
Answer:
Step-by-step explanation:
let x,y be the sides of court.
2(x+y)=90
x+y=90/2=45
y=45-x
xy=500
x(45-x)=500
45x-x²=500
x²-45x+500=0
x²-25x-20x+500=0
x(x-25)-20(x-25)=0
(x-25)(x-20)=0
x=25,20
when x=25
y=45-x=45-25=20
when x=20
y=45-20=25
sides are 25 ft,20 ft.
Answer:
28
Step-by-step explanation:
2(7)(2) =28
Answer:
Step-by-step explanation:
There are 11 parts of fruit: 4-strawberry, 3- grape, 2, cherry, 1- apple, 1-orange
4/11 from the entine quantity of fruits- strawberry
3/11-grapes
2/11- cherries
1/11- apples
1/11- oranges } ⇒ the quantity of oranges and apples are equal
The biggest part of the fruit- 4/11 - are strawberries
4/11>3/11>2/11>1/11
the smallest part of the fruit- apples and oranges
Let the weight if a whole pizza be x grams
Then 1/4 of a pizza weighs x/4 grams and one eighth weighs x / 8. The difference is 32 grams so we can make the following equation:-
x/4 - x/8 = 32
x / 8 = 32
Multiplying both sides by 8:-
x = 8*32 = 256
Answer is 256 grams.