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QveST [7]
2 years ago
10

A bookstore is deciding what price it should charge for a certain book. After research, the store finds that if the book's price

is p dollars (where p <= 40), then the number of books sold per month is 120-3p. What price should the store charge to maximize its revenue?
Mathematics
1 answer:
Wewaii [24]2 years ago
6 0

Answer:

[130-5(13)] (13) = $845   max revenue.

Step-by-step explanation:

If the number of books sold = 130-5p      then revenue will be   (130-5p)p = -5p^2+130p

the maximum can be found by graphing or by the fact that the max will be   -b/2a   =   -130/-10 = 13 dollars/book

 

[130-5(13)] (13) = $845   max revenue.

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2 years ago
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at
antiseptic1488 [7]

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W = 6t + 90

Step-by-step explanation:

Given :

Starting weight = intercept = 90 kg

Weight gained after 8 months = 138 kg

Using the slope intercept relation ;

We can obtain the rate of change, slope ;

y = mt + c

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y = weight gained after 8 months

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3 0
2 years ago
What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 2 over x squared plus x minus 12?
andrezito [222]

The correct answer is C: 1/(x + 4)(x - 5)


   Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick

Look at the factors of the right number (In this case, -10 and -12)

-10                   -12

1  * -10            1 * -12

-1 * 10             -1 * 12

-2 * 5             -2 * 6

2 * -5              2 * -6

                      -3 * 4

                       4 * -3


Now for part 2

Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).

2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is

x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)

Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.

8 0
3 years ago
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