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Damm [24]
3 years ago
14

50 POINTS PLUS BRAINLIEST!

Mathematics
1 answer:
OLga [1]3 years ago
3 0

Answer:

2500 meals in 20 hours.

Step-by-step explanation:

The easiest point to see is (2,250). The other point (since you need 2) is the origin. This is a graph. It does not require any greater accuracy than looking at the point that is chosen.

x = 2

y = 250

k = ?

y = k*x                                                     equation

250 total meals packed = k * 2 hours  Substitute values

k = 250 /2

k = 125 meals / hour

Let x = 20 hours

k = 125 meals / hour

y = ?

y = 125 * 20

y = 2500 meals

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OleMash [197]

Answer:

The equation of the parabola is y = -12\cdot x^{2}.

Step-by-step explanation:

Since the directrix is of the form y = a, the parabola is vertical. The vertex of the parabola (V(x,y)) is the midpoint between the focus (F(x,y)) and a point of the directrix (P(x,y)), that is to say:

V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y) (1)

If we know that F(x,y) = (0, -3) and P(x,y) = (0, 3), then the coordinates of the vertex of the parabola:

V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)

V(x,y) = (0, 0)

The vertex factor (p) is the distance of the focus with respect to the vertex:

p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]} (2)

If we know that F(x,y) = (0, -3) and V(x,y) = (0, 0), then the vertex factor is:

p = \sqrt{0^{2}+(-3)^{2}}

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The equation of the parabola in the vertex form is described below:

y - k = 4\cdot p \cdot (x-h)^{2} (3)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the vertex.

If we know that (h,k) = (0, 0) and p = -3, then the equation of the parabola is y = -12\cdot x^{2}.

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Answer:

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Step-by-step explanation:

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