4-(3-5)=please help
1 answer:
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The specific equation of the parabola can be found by plugging the given
values of the variables of the general equation.
<h3>Correct Response;</h3>The vertex of the parabola is at the origin with coordinates (0, 0)
The location of the focus = 3 cm from the vertex
<h3>Required:</h3>The equation that models the parabola.
<h3>Solution:</h3>The vertex form of the equation of a parabola is y = a·(x - h)² + k
The above equation can be expressed as (x - h)² = 4·p·(y - k)
Where in a vertical parabola;
(h + p, k) = The coordinates of the focus
(h, k) = The coordinates of the vertex = (0, 0)
p = 3 = The distance of the focus from the vertex
Therefore, the coordinates of the focus = (0 + 3, 0) = (3, 0)
The equation of the parabola is therefore;
(x - 0)² = 4×3 × (y - 0) = 12·y
x² = 12·y
Learn more about the equation of a parabola here:
Answer:
1) For 450 minutes of calling the two plans cost the same.
2) The cost when the two plans cost the same is $56.5.
Step-by-step explanation:
The cost of both plans can be modeled by linear functions.
Plan A:
$25 plus an additional $0.07 for each minute of calls.
So, for t minutes of calls, the cost is:
Plan B:
$16 plus an additional $0.09 for each minute of calls.
So, for t minutes of calls, the cost is:
Q1: For what amount of calling do the two plans cost the same?
This is t for which:
For 450 minutes of calling the two plans cost the same.
Q2: What is the cost when the two plans cost the same?
This is A(450) or B(450), since they are the same.
The cost when the two plans cost the same is $56.5.