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3 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to

Mathematics

1 answer:

Burka [1]3 years ago

7 0

Answer:

$1954

Step-by-step explanation:

Given the profit function expressed as;

y=-3x^2 + 197x – 1279

The profit is at maximum when dy/dx = 0

dy/dx = -6x + 197

0 = -6x+197

6x = 197

x = 197/6

x = 32.83

substitute 32.83 into the modeled function

y=-3x^2 + 197x – 1279

y -3(32.83)²+197(32.83) - 1279

y = -3(1,078.03)+6,467.51 - 1279

y = -3,234.09+6,467.51-1279

y = 1,954.42

hence the maximum amount of profit the company can make, to the nearest dollar is $1954

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Aleks04 [339]

Given:

The equation of a circle is:

$x^2+4x+y^2-6y=-4$

To find:

The center and radius of the circle.

Solution:

We have,

$x^2+4x+y^2-6y=-4$

To make complete square add square of half of x and square of half of y on both sides.

$x^2+4x+y^2-6y+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-6}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-6}{2}\right)^2$

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$(x+2)^2+(y-3)^3=3^2$ ...(i)

The standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$ ...(ii)

On comparing both sides, we get

$h=-2,k=3,r=3$

Therefore, the center of the circle is (-2,3) and the radius is 3 units.

8 0

3 years ago

Choose the numbers to find the product shown by the model.

zysi [14]

9514 1404 393

Answer:

B, F

Step-by-step explanation:

10 of the hundredth squares are colored red, so that multiplier is ...

10/100 = 0.10 = 0.1 . . . choice B

5 of the hundredth squares are colored both red and green, so that product is ...

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2 years ago

Which of the following does not name the same line? MN KM KN KL

garik1379 [7]

Answer:

KL does not name the same line.

Step-by-step explanation:

You'll recognize that if you go from KM, it stays on the same. You go from MN it stays on the same line. KN also stays on the same line. By K and L are two completely different lines. L can only be with N or J

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3 years ago

Write -12 2/3 as an improper fraction

miv72 [106K]

Answer:

-38/3

Step-by-step explanation:

At first, you times 12 and 3, which is 36

Then you do 36+2, which is 38

Don't forget the negative sign!!!!

So it is -38/3

Hope it helped!~❤️

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3 years ago

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Step-by-step explanation:

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2 years ago