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pashok25 [27]
3 years ago
12

10 POINTS WILL GIVE BRAINLIEST WHEN IT GETS GRADED

Mathematics
2 answers:
wolverine [178]3 years ago
8 0

Answer:

Yes, both are correct

Step-by-step explanation:

Aleonysh [2.5K]3 years ago
3 0

Answer:

The answer to your question is We got the same. I think your work is correct.

Step-by-step explanation:

Data

height = 4x - 5

length = 3x + 1

width = 2x - 3

Formula

Volume of a rectangular prism = height x length x width

-Substitution

Volume = (4x - 5)(3x + 1) (2x - 3)

-Simplification

Volume = (12x² + 4x - 15x - 5)(2x - 3)

Volume = (12x² - 11x - 5)(2x - 3)

Volume = 24x³ - 22x² - 10x - 36x² + 33x + 15

Volume = 24x³ - 58x² + 23x + 15                    

2.- Number of computers    N(t) = 5t + 106

   Price of computers          P(t) = 13t² + 25t + 600

Initial year = 2005

Final year = 2010

Number of years = 2010 - 2005

                            = 5 years

a) Calculate the numbers of computers

       N(5) = 5(5) + 106

               = 25 + 106

               = 131 computers

b) Calculate the price

       P(5) = 13(5)² - 25(5) + 600

               = 13(25) - 125 + 600

               = 325 - 125 + 600

               = $800

c) Calculate the revenue

  Revenue = 131 x $800

                  = $104880

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The relation can be represented as:

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This is a quadratic equation.  Rearranging the terms in descending order by powers of x, we get:

-2x^2 + 5x + 1 = 0.  Here the coefficients are a = -2, b = 5 and c = 1.

Use the quadratic formula to solve for x:

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                                                             -b ± √(discriminant)

Applying the quadratic formula   x = --------------------------------

                                                                         2a

we get:

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x = ----------------- = --------------------- and

           2(-2)                     -4

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