Find the x-intercepts (if any) for the graph of the quadratic function.f(x) = x2 + 16x + 47 Give your answers in exact form.

A. (-16 ± , 0)
B. (8 ± , 0)
C. (-8 ± , 0)
D. (8 + , 0)


Answer: C

Mathematics

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Solve the given differential equation. y(4) - 10y''' + 30y'' - 50y' + 125y = 0

A. y = (C1 + C2x)e5x + (C3 + C4x)ex 
B. y = C1 e5x + C2 cos x + C3 sin x
C. y = (C1 + C2x)e5x + C3 cos x + C4 sin x
D. y = (C1 + C2x)e5x + C3ex + C4 e-x 

Mathematics

Solve the problem.The hyperbola  -  = 1 is shifted down 6 units and right 7 units. Find an equation for the new hyperbola and find the new center.

A.  -  = 1; center: (7, -6)
B.  +  = 1; center: (-6, 7)
C.  -  = 1; center: (7, -6)
D.  -  = 1; center: (6, -7)

Mathematics

Which of the following is a dynamic statistics software package that produces non-conventional data displays?

a. Geometer's Sketchpad b. TinkerPlots c. SPSS d. Fathom

Mathematics

Collect like terms.5a2 + 2a + 7a2 + 3a

A. 5a2  + 5a + 7 B. 5a2 C. 12a2 + 2a + 3 D. 12a2 + 5a

Mathematics