Solve the equation by completing the square.x2 + 4x - 9 = 0
A. {-1 - 
, -1 + 
}
B. {-2 - 
, -2 + 
}
C. {-2 - 1
, -2 + 1
}
D. {2 + 
}
Answer: B
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Solve the problem.A spring with a spring constant k of 8 pounds per foot is loaded with a 16-pound weight and allowed to reach equilibrium. It is then displaced 4 feet downward and released. If the weight experiences a retarding force in pounds equal to 0.15 times the velocity, find the equation of motion.
A. y ? e-0.15t(4 cos 4t + 0.15 sin 4t) B. y ? e-0.075t(4 cos 4t + 1.2 sin 4t) C. y ? 4 sin 4t + 1.2 cos 4t D. y ? e-0.15t(4 sin 4t + 0.15 cos 4t)
Simplify by factoring out the given factor.x-7 - 7x-5; x-7
A. x-7(1 + 7x4) B. x-7(x - 7x3) C. x-7(x - 7x2) D. x-7(1 - 7x2)
Find a polynomial function f(x) of least possible degree having the graph shown.
A. f(x) = 2(x + 2)2(x - 1) B. f(x) = 2(x - 2)2(x + 1) C. f(x) = -2(x - 2)2(x + 1) D. f(x) = -2(x + 2)2(x - 1)
Find the equilibrium vector for the transition matrix.
Round the numbers in your answer to the nearest hundredth.
A. 
B. 
C. 
D. 