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2 years ago

Find the axis of symmetry for this parabola

Mathematics

1 answer:

mariarad [96]2 years ago

7 0

The axis of symmetry is 1.

To find this, do -b/2a, putting -8 in the place of b and -4 in the place of a. Proceed to solve to get 1.

The equation provided is vertex form, so to find the needed components, you need to solve for the vertex. To do so, implement 1 in as x and solve for the vertex.

The vertex is 1, -16.

(y - 16) = -4(x - 1)^2

Although it is not exactly vertex form, the only difference is that instead of it being +k at the end, it is subtracted with the y.

Hope this helps!

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In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

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8 months ago

Josiah, the manager of a pet store, bought 72 oz of water conditioner to use in his fish tanks. His small tanks would require 2

kodGreya [7K]

If we are going to analyze the problem very well, the equation that we will be able to make would be: 2x + 6y = 72

72 is the oz of water conditioner to use in his fish tanks.

small tanks would require 2 oz of conditioner

large tanks would require 6 oz of conditioner

There is only one point which satisfy's the above equation.That is the points of (0, 12) and (36, 0)

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3 years ago

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I believe the point here is that the function is continuous rather than discrete

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Answer:

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