Determine the number of solutions to the given system without graphing.

A. infinite number of solutions
B. no solution
C. one solution


Answer: C

Mathematics

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Solve the problem.Find the centroid of a hemispherical shell having outer radius 9 and inner radius 7 if the density is constant.

A.  = 0,  = 0,  = 
B.  = 0,  = 0,  = 
C.  = 0,  = 0,  = 
D.  = 0,  = 0,  = 

Mathematics

Factor the polynomial f(x). Then solve the equation f(x) = 0.f(x) = x3 + 3x2 - 16x - 48

A. (x - 3)(x + 4)(x - 4) ; 3, -4, 4 B. (x + 3)(x + 4)(x - 5) ; 3, -4, 5 C. (x + 3)(x - 4)(x + 4) ; -3, 4, -4 D. (x - 3)(x + 4)(x - 4) ; -3, 4, -4

Mathematics

Find the indicated probability.The table below shows the soft drink preferences of people in three age groups.If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and drinks cola.

A.
B.
C.
D. None of the above is correct.

Mathematics

Write the series with summation notation.12 + 9 + 6 + 3 + 0 + (-3)

A.
B.
C.
D.

Mathematics