A circular lawn has a row of bricks around the edge. The diameter of the lawn is about 40 feet.
1 answer:
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The function in vertex form is ⇒ 3rd answer
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
- a is the coefficient of x²
- (h , k) are the coordinates of the vertex point
, wher b is the coefficient of x
- k = f(h), that means value f(x) when x = h
∵ f(x) = x² + x + 1
∴ a = 1 , b = 1
∵
- Substitute the values of a and b to find h
∴
∴
Substitute the value of x in f(x) by the value of h to find k
∵ f( ) =
∴ f( ) =
∴ f( ) =
- k is the value of f(x) when x = h
∵ h =
∴ k = f( )
∴ k =
Substitute the values of a, h and k in the vertex form
∵ f(x) = a(x - h)² + k
∵ a = 1 , ,
∴
∴
The function in vertex form is
Learn more:
You can learn more about the quadratic functions in brainly.com/question/9390381
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Answer:
There are total 12 outfit combinations.
Step-by-step explanation:
Number of hat are: 2
1 red hat and 1 black hat
Number of shirt are: 3
1 white shirt , 1 black shirt , 1 black-and-white striped shirt.
Number of pants are: 2
1 black and 1 blue
Now, the total number of combinations could be seen with the help of a tree diagram.
We observe that total 12 combinations are possible.
