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
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Solve the given differential equation. y(4) - 10y''' + 30y'' - 50y' + 125y = 0
A. y = (C1 + C2x)e5x + (C3 + C4x)e
x
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 + C3e
x + C4 e-
x
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)
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
Collect like terms.5a2 + 2a + 7a2 + 3a
A. 5a2 + 5a + 7 B. 5a2 C. 12a2 + 2a + 3 D. 12a2 + 5a