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Natali [406]
3 years ago
15

Differentiate f(x) = \frac{x^{3}-4 x+1}{x^{3}}.

Mathematics
1 answer:
miv72 [106K]3 years ago
7 0
f(x) = \frac{x^{3}-4 x+1}{x^{3}}\\
f'(x)=\frac{(3x^2-4)\cdot x^3-(x^3-4x+1)\cdot3x^2}{x^6}\\
f'(x)=\frac{x^2(3x^3-4x-3x^3+12x-3)}{x^6}\\
f'(x)=\frac{8x-3}{x^4}\\

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550 tickets were sold for a game for a total of $712.50. If adult tickets sold for $1.50 and children's tickets sold for $1.00,
EastWind [94]

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Answer:

  • adult: 325
  • children's: 225

Step-by-step explanation:

It usually works well to let a variable represent the higher-value item in the mix. Here, we can let 'a' represent the number of adult tickets sold. Then the total revenue is ...

  1.50a +1.00(550 -a) = 712.50

  0.50a = 162.50 . . . . . . . . . . . . . subtract 550 and collect terms

  a = 325

  c = 550 -325 = 225

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3 years ago
Target pays $13 per pair of sunglasses and uses 30% markup rate. What is targets selling price for the sunglasses?
Elena L [17]

Answer:

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Step-by-step explanation:

First you need to find how much the markup is in dollars.

Multiply 13(0.3).

This will give you 3.9.

Then you add this to the original cost of the glasses.

13+3.9= 16.9.

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3 years ago
The James family hosted an independent day party they expected 70 gusts but 7 times fewer showed up how many phone attend the pa
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5 0
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