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valentina_108 [34]
3 years ago
8

Jules walks 34 miles in 12 hour. What is Jules' speed in miles per hour?​

Mathematics
1 answer:
devlian [24]3 years ago
6 0

Answer:

the answer is 2.83 miles per hour

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The cost function for a certain company is c = 50x + 600 and the revenue is given by r = 100x − 0.5x2. Recall that profit is rev
goblinko [34]

The quadratic equation is:  p=-0.5x^2+50x-600 and the two values of x will be 40 and 60 that will create a profit of $600.

<u><em>Explanation</em></u>

The cost function is:  c=50x+600 and

The revenue function is:  r=100x-0.5x^2

As the profit means (Revenue-Cost), so the <u>Profit function will be</u>....

p= r-c\\ \\ p=(100x-0.5x^2)-(50x+600)\\ \\ p=100x-0.5x^2-50x-600\\ \\ p=-0.5x^2+50x-600

So, the quadratic equation is:  p=-0.5x^2+50x-600

Now for creating a profit of $600 means, <u>we will plug p=600 into the above equation</u>. So.....

600=-0.5x^2+50x-600\\ \\ 0.5x^2-50x+1200=0 \\ \\ 0.5(x^2-100x+2400)=0\\ \\ 0.5(x-40)(x-60)=0

Now applying zero-product property.....

x-40=0\\ x=40\\ \\ and\\ \\ x-60=0\\ x=60

So, the two values of x will be 40 and 60 that will create a profit of $600.

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3 years ago
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