Solve using the elimination method. If the system has an infinite number of solutions, use set-builder notation to write the solution set. If the system has no solution, state this.-0.5x + 0.5y = 0.5-0.1x + 0.1y = 0.1

A. (20, 30)
B. (3, 2)
C. (2, 3)
D. {(x, y)|-0.5x + 0.5y = 0.5}


Answer: C

Mathematics

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Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

?
The area of the region bounded by the graphs of  and  and the vertical lines  and  is given by .
?

A. True. Since f and g are continuous functions and  on the interval [0, 2], then the area of the region bounded above by  and below by  on [0, 2] is given by .
B. False. Since f and g are continuous functions and  on the interval [0, 2], then the area of the region bounded above by  and below by ? on [0, 2] is given by 

Mathematics

Solve.x +  = 

A. 1
B.
C.  
D.  

Mathematics

State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the same direction or in opposite directions.a = ,  b = 

A. Perpendicular B. Parallel, same direction C. Parallel, opposite directions D. Neither

Mathematics

For the given functions f(x) and g(x), find a value x for which (f?g)(x) = (g?f)(x).f(x) = x - 3, g(x) = 5x2 - 8x + 5

A. x = - 
B. x = 
C. x = 
D. x = 

Mathematics