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ASHA 777 [7]
2 years ago
15

The ticket office at Orchestra Center estimates that if it charges x dollars for box seats for a concert, it will sell 50 - x bo

x seats. The function S = 50x - x2 gives the estimated income from the sale of box seats. Graph the function, and use the graph to find the price for box seats that will give the greatest income.

Mathematics
2 answers:
Rasek [7]2 years ago
5 0

Answer:  

Here, the given function,

S(x) = 50 x - x ^2 ----- (1)

For the maximum value of s(x),

s'(x) = 0

Where s'(x) is the first derivative of S(x)

By differetiating equation (1) with respect to x,

We get,

S'(x)= 50 - 2x

⇒ For maximum value of S(x), s'(x) = 0

⇒  50 - 2x = 0

⇒ 2x = 50

⇒ x = $ 25



Dmitriy789 [7]2 years ago
4 0
To estimate the price of box seats for the ticket office to have the greatest income, we derive the equation and equate the derivative to zero. 
                                    S = 50x - x²
Deriving,
                                dS = 50 - 2x = 0
The value of zero from the generated equation is 25. Thus, the company should sell tickets at approximately $25. 
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Consider the following 8 numbers, where one labelled
AlladinOne [14]
<h3>Answers:     x = -17  and   x = 64</h3>

====================================================

Explanation

Consider three scenarios:

  • A) The value of x is the smallest of the set (aka the min)
  • B) The value of x is the largest of the set (aka the max)
  • C) The value of x is neither the min, nor the max. So 8 < x < 39.

These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.

--------------------

We'll start with scenario A.

If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}

The range is 56, so,

range = max - min

56 = 39 - x

56+x= 39

x = 39-56

x = -17  which is one possible answer

--------------------

If instead we go with scenario B, then x is the max and 8 is the min

range = max - min

56 = x - 8

56+8 = x

64 = x

x = 64 is the other possible answer

--------------------

Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.

Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.

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olya-2409 [2.1K]

Answer:

48 °

Step-by-step explanation:

The following data were obtained from the question:

Adjacent = 12 cm

Hypothenus = 18 cm

Angle R =?

We can obtain angle R by using cosine ratio. This can be obtained as follow:

Cos R = Adjacent / Hypothenus

Cos R = 12 / 18

Cos R = 0.6667

Take the inverse of Cos

R = Cos¯¹ 0.6667

R = 48 °

Thus, <QRP = 48 °

4 0
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