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tensa zangetsu [6.8K]
3 years ago
13

What's the difference quotient: F(x)=x^3

Mathematics
1 answer:
zaharov [31]3 years ago
5 0
\dfrac{F(x+h)-F(x)}h=\dfrac{(x+h)^3-x^3}h=\dfrac{x^3+3x^2h+3xh^2+h^3-x^3}h=3x^2+3xh
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Mila [183]
<em><u>Question:</u></em>
<em>Mrs. Magdalino kept records on how much she spent on gasoline and the maintenance of her car.  She found that it cost $485 to drive 500 mi in a month.</em>
<em>a)  Find the cost per mile.  Write an equation that relates the cost c for gasoline and maintenance of a car to the number of miles m the car is driven.</em>
<em>b)  Use the equation to find the cost for driving 1200 miles.</em>
<em>c)  About how many miles are driven for a cost of $820?</em>

<em><u>Answer:</u></em>
a)
$485/500mi = <u><em>$0.97/mi</em></u>

c = cost
m = miles driven

cost per miles driven = cost / mile driven = <u><em>c/m</em></u>

b)
(1200 mi)*($0.97/mi) = <u><em>$1164</em></u>

c)
(x miles)*($0.97/mi) = $820

*divide both sides by $0.97/mi

x miles = $820/($0.97/mi)

<u><em>x = 845.36 miles</em></u>
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4 years ago
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