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Inessa05 [86]
2 years ago
12

Use the coordinate plane to plot the point (3,6). Then

Mathematics
1 answer:
Margarita [4]2 years ago
8 0

Answer:

Start at the

✔ origin

.

Move 3 units

✔ right

.

Move 6 units

✔ up

.

Plot a point.

Step-by-step explanation:

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The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
Mark wants to find the area of a circle with a diameter of 6 cm. Which expressions can he use to find the area of the circle in
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Answer:

B and C

(I'm not sure if b and e are supposed to be the same though) if they are then, b, c, and e

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8/200 as a decimals
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8 / 200 = 4 / 100 = 0.04 ;
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$5.60 x 100/ 70 = 8
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Brian and 3 of his friends need to collect a total of 1,548 pounds of newspaper for a recycling drive. They will each collect th
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4 people are collecting

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