Convert the equation to the standard form for a hyperbola by completing the square.y2 - 4x2 - 2y + 8x - 7 = 0
A. (x - 1)2 - 
= 1
B. 
- (y - 1)2 = 1
C. 
- (x - 1)2 = 1
D. 
- (x - 2)2 = 1
Answer: C
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Solve the problem.How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t) = 650e-0.189t, where t is the time in years? Round your answer to the nearest hundredth year.
A. 37.94 years B. 122.85 years C. 3.67 years D. 34.27 years
Solve the equation.
= 5
A. {1, -9} B. ? C. {1} D. {-1, 9}
Solve the problem.Two machines are turned on at 8:00 A.M. If one can produce 73 items each hour and the other can produce 54 items each hour, at what time will they produce a total of 889 items?
A. 4:30 P.M. B. 2:00 P.M. C. 3:00 P.M. D. 4:00 P.M.
Leo Moser studied the effect that two face-to-face panes of glass have on light reflected through the panes. If a ray is not reflected, it has just one path through the glass. If it has one reflection, it can be reflected two ways. For two reflections, it can be reflected three ways. Make a conjecture about the number of paths for n reflections.
A. 1, 2, 3, 5, 7,.... B. 1, 2, 3, 4, 7,.... C. 1, 2, 3, 4, 5,.... D. 1, 2, 3, 5, 8,.... E. 1, 2, 3, 6, 12,....