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LenKa [72]
3 years ago
6

The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function

is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?
Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

Answer:

P(x) = 3x - 10

Step-by-step explanation:

Given

R(x) = 5x

C(x) = 10 + 2x

Required

Determine P(x) = (R - C)(x)

In functions;

(f - g)(x) = f(x) - g(x)

So, we have:

P(x) = (R - C)(x)

P(x) = R(x) - C(x)

Substitute values for R(x) and C(x)

P(x) = 5x - (10 + 2x)

Open bracket

P(x) = 5x - 10 - 2x

Collect Like Terms

P(x) = 5x - 2x- 10

P(x) = 3x - 10

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Answer:

Ray : Line NA, Line NB, Line AB

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3 years ago
How many 1/4 ft cubed make up the volume of this prism ?​
DIA [1.3K]

Answer:

Each cube with side lengths of 1/4 has a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

Step-by-step explanation:

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3 years ago
What is the equation of the given graph in y=kx form .
ElenaW [278]
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3 years ago
AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle
Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1339.9}{40} = 33.5

S.D = 11(given)

n = 40

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)

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Idk but it's 0.416667

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