The answer to your question is 1466.298
Answer:
c. two or none
Step-by-step explanation:
The signs of the coefficients are ...
+ - +
so there are <em>two</em> sign changes: + to -, and - to +. Descartes' rule of signs tells you to interpret this to mean there are 2 or 0 possible positive real roots.
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Pairs of roots are possibly complex, so the number of sign changes can be reduced by any even number to take that possibility into account. That is why 2 sign changes can mean either 2 or 0 positive real roots.
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A graph shows there to be 2 positive real roots and a root at x=0 with multiplicity 2. The latter should be no surprise, since x^2 is a factor of f(x).
<span>Let x = dollar increase in price
Let y = fewer number of pairs sold
Since 2 fewer shoes are sold for each 1 dollar (factor of 2)
y = 2x
Revenue = Number of shoes sold * Price charged per shoe
Number of shoes sold = 200 - y = 200 - 2x
Price charged per shoe = $60 + $x
Revenue = (200 - 2x)(60 + x) = -2x^2 + 200x - 120x + 12000
Revenue = -2x^2 + 80x + 12000
In a quadratic equation, Revenue is maximized when x = -b / 2a. In this case:
x - -80 / (2*-2) = $20
Price charged per show = $60 + $x = $60 + $20 = $80.
Maximum revenue = -2x^2 + 80x + 12000 (evaluated at x = $20)
Maximum revenue = -2(20^2) + 80*20 + 12000 = $12800</span>
Answer:
See Explanation
Step-by-step explanation:
We see that . We can use this to find that .
Answer:
29 16/25
Step-by-step explanation:
29 and 64/100
reduces to 29 16/25