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SashulF [63]
2 years ago
5

Which is the correct calculation of the y-coordinate of point A? 0 (0 - 0)2 + (1 - y2 = 2 O (0 - 1)² + (0- y2 = 22 (0-0)² + (1 -

y2 = 2 (0 - 1)2 + (0-y2 = 2​

Mathematics
1 answer:
dimaraw [331]2 years ago
4 0

Answer:

The y-coordinate of point A is \sqrt{3}.  

Step-by-step explanation:

The equation of the circle is represented by the following expression:

(x-h)^{2}+(y-k)^{2} = r^{2} (1)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the center of the circle.

r - Radius of the circle.

If we know that h = 0, k = 0 and r = 2, then the equation of the circle is:

x^{2} + y^{2} = 4 (1b)

Then, we clear y within (1b):

y^{2} = 4 - x^{2}

y = \pm \sqrt{4-x^{2}} (2)

If we know that x = 1, then the y-coordinate of point A is:

y = \sqrt{4-1^{2}}

y = \sqrt{3}

The y-coordinate of point A is \sqrt{3}.  

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Nitella [24]

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

<h3>How to find the production level that'll maximize profit?</h3>

The cost function, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the demand function, P(x) is given by 1600 − 8x.

Next, we would differentiate the cost function, C(x) to derive the marginal cost:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the revenue function to derive the marginal revenue:

R'(x) = 1600 - 8x

At maximum profit, the marginal revenue is equal to the marginal cost:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

Read more on maximized profit here: brainly.com/question/13800671

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Which of the following describes how to read the decimal number 0.263?
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0.263

Step-by-step explanation:

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