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Firdavs [7]
4 years ago
10

Factoring by grouping 12x^2+11x+2=0​

Mathematics
1 answer:
Alex_Xolod [135]4 years ago
7 0

Step-by-step explanation:

(12)(2) = 24   Find 2 numbers whose product is 24 and whose sum is 11  (8 and 3 work)

 

Rewrite 11x as 8x+3x and factor by grouping:

 

12x2 + 8x + 3x + 2 = 0

 

4x(3x+2) + 1(3x+2) = 0

 

(3x+2)(4x+1) = 0

 

x = -2/3 or x = -1/4

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A model for a company’s revenue from selling a software package is R(p)=-2.5p^2+600p
blagie [28]

Complete question is;

A model for a company's revenue from selling a software package is R = -2.5p² + 500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.

Answer:

Price to maximize revenue = $100

Maximum revenue = $25000

Step-by-step explanation:

We are told that:

R = -2.5p² + 500p, where p is the price in dollars of the software.

The maximum revenue will occur at the vertex of the parabola.

Thus, the price at this vertex is;

p = -b/2a

Where a = - 2.5 and b = 500

Thus:

p = -500/(2 × -2.5)

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Maximum revenue at this price is;

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R(100) = -25000 + 50000

R(100) = $25000

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3 years ago
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Answer:

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