Answer:
The equation of the axis of symmetry is x = 
The coordinates of the vertex are ( , 
) ⇒ 2nd answer
Step-by-step explanation:
The quadratic function y = ax² + bx + c is represented graphically by a parabola which has a minimum/maximum vertex (h , k), where
- h =
and k is value y at x = h - The axis of symmetry of the parabola is a vertical line passes through the vertex point and its equation is x = h
- The minimum/maximum value of the function is (h , k)
∵ y = 4x² + 5x - 1
∵ The form of the quadratic function is y = ax² + bx + c
∴ a = 4 , b = 5 , c = -1
∵ The coordinates of the vertex points are (h , k)
∵ h =
∴ h = 
- To find k substitute x in the function by
∵ k = 4 ( )² + 5( ) - 1
∴ k = 4 ( 
) + ( 
) - 1
∴ k = 
- 
- 1
∴ k =
∴ The coordinates of the vertex are ( , )
∵ The equation of the axis of symmetry is x = h
∵ h =
∴ The equation of the axis of symmetry is x =
Answer:
6 hours and 12 minutes i believe, mainly did it in my head so don't quote me on it. Hope its right tho!!!!
Step-by-step explanation:
Answer:
Step-by-step explanation:
That answer to that is none because an obtuse angle is > 90 degrees
A piecewise function is a function that behaves differently in different intervals of its domain.
The piecewise function is:
- f(x) = $10 if 0 < x < 6
- f(x) = $15 if 6 ≤ x ≤ 18
- f(x) = $20 if 18 < x
<em />
<em>Here the given information for the function is:</em>
- The museum charges $10 for kids of 5 and under
- The museum charges $15 for ages of 6 to 18
- The museum charges $20 for ages larger than 18.
Then if we define x as the age of the person, the function f(x) that tells the <u>cost of the ticket will be:</u>
- f(x) = $10 if 0 < x < 6
- f(x) = $15 if 6 ≤ x ≤ 18
- f(x) = $20 if 18 < x
So as you can see, depending on the value of x and in which interval it belongs, the function behaves differently.
If you want to learn more, you can read:
brainly.com/question/12561612
