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il63 [147K]
2 years ago
6

What’s the number of pretzels that must be sold if the equation is P(x)=-4x^2+3200x-100

Mathematics
1 answer:
cupoosta [38]2 years ago
7 0

The number of pretzels that must be sold to maximize the profit is 400.

<h3>What is the number of pretzels to be sold in the quadratic equation?</h3>

The number of pretzels to be sold can be determined by taking the derivative of the quadratic equation.

Given that:

P(x) = -4x^2+3200x-100

P'(x) = -8x + 3200

P''(x) = -8

At the critical point;

P'(x) = 0

Thus;

8x = 3200

x = 3200/8

x = 400

P''(400) = -8

P'' (400) < 0

Therefore, at x = 400, P(x) will be maximum.

Learn more about calculating the derivative of a quadratic equation here:

brainly.com/question/13759985

#SPJ1

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Help me plz<br> I NEED HELP WITH THIS
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7 is about 6 because it says to round to the nearest whole number

Step-by-step explanation:

8 is about 3 because it say to round to the nearest whole number

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3 years ago
How many numbers of the set {1, 2, 3, 4, . . . , 297, 298, 299, 300} are multiples of 10 but not multiples of 15?
slega [8]

Answer:

I get 20

Step-by-step explanation:

While there probably is some logical way to go about this I just did it in excel

screenshot below

5 0
3 years ago
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Each pair of polygons below is similar. Find the value of x. Some answers may be decimals.
sergiy2304 [10]

Answer:

The answer to your question is below.

Step-by-step explanation:

14.- Use proportions to solve these problems.

             \frac{x + 6}{10} = \frac{x + 9}{14}

                               14(x + 6) = 10(x + 9)

                               14x + 84 = 10x + 90

                               14x - 10x = 90 - 84

                                         4x = 6

                                           x = 6/4

                                          x = 3/2

15.-        \frac{x - 1}{8} = \frac{x + 2}{10}

                            10(x - 1) = 8(x + 2)

                            10x - 10 = 8x + 16

                            10x - 8x = 16 + 10

                                     2x = 26

                                       x = 26 / 2

                                      x = 13

16.-       \frac{x + 1}{9} = \frac{10/3}{5}

                            5(x + 1) = 9(10/3)

                            5x + 5 = 30            

                                  5x = 30 - 5

                                  5x = 25

                                    x = 25 / 5

                                    x = 5

7 0
3 years ago
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Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the ai
ss7ja [257]

Answer:

The probability that the plane is oveloaded is P=0.9983.

The pilot should take out the baggage and send it in another plain or have less passengers in the plain to not overload.

Step-by-step explanation:

The aircraft will be overloaded if the mean weight of the passengers is greater than 163 lb.

If the plane is full, we have 41 men in the plane. This is our sample size.

The weights of men are normally distributed with a mean of 180.5 lb and a standard deviation of 38.2.

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The standard deviation is:

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The probability that the mean weight of the men in the airplane is below 163 lb is P=0.0017

P(\bar X

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Answer:

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Step-by-step explanation:

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Interval Notion:

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