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enyata [817]
2 years ago
15

Which of the following equations is of a parabola with a vertex at (1, -2)?

Mathematics
1 answer:
arlik [135]2 years ago
8 0
The general eaquation of a parabola in terms of its vertex is:

y = a(x - h)^2 + k

where the vertex point is (h, k)

therefore, an equation of a parabola with vertex (1, -2) is:

y = 5(x - 1)^2 - 2
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Afina-wow [57]

Answer:

Step-by-step explanation:

By using the Pythagorean theorem:

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2 years ago
Where does the point (0, - 3) lie?
gregori [183]

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The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

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In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

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e^{10r} = 1.25

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\ln{e^{10r}} = \ln{1.25}

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P(t) = 500e^{0.0223t}

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This is P(40).

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The population in 40 years will be 1220.

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