Determine the domain of the rational function.R(x) = 

A. {x -3, - , 1}
B. {x - , 1}
C. {x -1,  , 3}
D. {x -1,  }


Answer: D

Mathematics

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Solve the problem.Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 9 miles, the distance between the cars was 3 miles more than the distance traveled by the car heading east. How far had the eastbound car traveled?

A. 18 mi B. 9 mi C. 15 mi D. 12 mi

Mathematics

Find the center (h, k) and radius r of the circle. Graph the circle.x2 + y2 + 2x + 12y + 28 = 0

A. Center (-1, 6), r = 3

B. Center (1, -6), r = 3

C. Center (1, 6), r = 3

D. Center (-1-6), r = 3

Mathematics

Find the domain and range of the inverse of the given function.f(x) = 2x - 8

A. Domain: all real numbers; range: (-?, -8) ? (-8, ?) B. Domain: [0, ?) ; range: all real numbers C. Domain: (-?, 8) ? (8, ?); range: all real numbers D. Domain and range: all real numbers

Mathematics

Solve the problem.The number of hours of sunlight in a day can be modeled by a sinusoidal function. In the northern hemisphere, the longest day of the year occurs at the summer solstice and the shortest day occurs at the winter solstice. In 2000, these dates were June 22 (the 172nd day of the year) and December 21 (the 356th day of the year), respectively.  A town experiences 10.93 hours of sunlight at the summer solstice and 8.51 hours of sunlight at the winter solstice. Find a sinusoidal function  that fits the data, where x is the day of the year. (Note: There are 366 days in the year 2000.)

A. y = 10.93 sin  + 8.51
B. y = 1.21 sin  + 9.72
C. y = 10.93 sin  + 9.72
D. y = 1.21 sin  + 9.72

Mathematics