Find an equation of the hyperbola centered at the origin that satisfies the given condition.


Mathematics

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Identify the equation as either linear or nonlinear by trying to write it in the form 5x2- 2.3x = x2 - 2

A. Nonlinear B. Linear

Mathematics

The average speed of a vehicle on a stretch of Route 134 between 6 a.m. and 9 a.m. on a typical weekday is approximated by the function  

?
   ?
where  is measured in miles per hour and  is measured in hours, with  corresponding to 6 a.m. Find the interval where  is decreasing and the interval where  is increasing.
?

A.  is increasing on 

 is decreasing on 


B.  is increasing on 

 is decreasing on 


C.  is increasing on 

 is decreasing on 


D.  is increasing on 

 is decreasing on 


E.  is increasing on 

 is decreasing on 


Mathematics

Solve the problem.The rate of growth of profit (in millions) from an invention is approximated by  where x represents time in years. The total profit in year 1 that the invention is in operation is $45,000. Find the total profit function P(x).

A. P(x) = -.5e-x2+ 229,000
B. P(x) = -.5e-x2+ 0.229
C. P(x) = - e-x2- 229,000
D. P(x) = - e-x2- 0.229

Mathematics

Solve the problem.The Cool Company determines that the supply function for its basic air conditioning unit is  and that its demand function is , where p is the price. Determine the price for which the supply equals the demand.

A. $21.36 B. $22.86 C. $22.36 D. $21.86

Mathematics