Carolina's Alexander Semin scored just 16 seconds into the contest for a quick 1-0 lead and Tlusty followed with his two markers to break the contest open.
Semin assisted on both of Tlusty's tallies as the Hurricanes won for only the second time in 12 contests.
Dan Ellis turned aside 35 shots in notching the victory.
Anders Lindback made 25 stops in the loss.
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