Solve the problem.The function f models the population of Country X from 1991 to 1998. The graphs of f and the horizontal line y = 805 are shown in the figure. Use the graphs to determine the x-values that satisfy (i) the inequality  and (ii)  Express your answers symbolically. 

A. {x|x = 1994}; {x|x ? 1994}
B. {x|x = 1994}; {x|x > 1994}
C. {x|x ? 1994}; {x|x > 1994}
D. {x|x > 1994}; {x|x ? 1994}


Answer: D

Mathematics

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A.
B.
C.
D.

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Begin by drawing a rough sketch to determine the number of real solutions for the equation y1 = y2. Then use an analytic method to confirm your answer. Give the solution set and any extraneous values that may occur.y1 = y2 = 2x

A.

One real solution;  ;  is extraneous.
B.

Two real solutions; ; no extraneous values
C.

No real solutions; ?; no extraneous values
D.

One real solution; {9}; no extraneous values

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Find the dot product, u ? v, for the given vectors.u = , v = 

A. 126 B. 138 C. 147 D. -78

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Solve the system by the substitution method or the addition method.

A. (-3, 2) B. infinite number of solutions C. (10, -1.15) D. (0.06, -0.01)

Mathematics