Answer:
The parabola's axis of symmetry is x = -6
Step-by-step explanation:
Parabola general equation:
y = a*(x - r1)*(x - r2)
Equation given:
y = (-1/4)*(x + 2)*(x + 10)
a = -1/4
r1 = -2
r2 = -10
To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:
y = (-1/4)*(2+ 2)*(2 + 10) = -12
Then, point (2, 10) is not included in the parabola.
If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward
Axis of symmetry:
h = (r1 + r2)/2
h = (-2 + -10)/2 = -6
Then, The parabola's axis of symmetry is x = -6
To find Parabola's vertex, replace with the axis of symmetry:
y = (-1/4)*(-6 + 2)*(-6 + 10) = 4
Therefore, the parabola has a vertex at (-6, 4)
Answer:
Step-by-step explanation:
A. The regular cost is 55 per person. Using the given variable definitions, that cost can be expressed as ...
y = 55x
__
B. The party special cost is 46 per person, with an added fee of 45. That cost can be expressed as ...
y = 46x +45
_____
As you know, the cost of a purchase is the product of the cost of an item and the number of items. Here, the cost of entry is the cost of the item of interest, and the number of persons needing entry is the number of items. The party special has the addition item of a private room, so its cost is added to the total for the party special.
Answer:
(3, -1)
Step-by-step explanation:
