Solve the problem.Assume that the price per unit d of a certain item to the consumer is given by the equation 
where x is the number of units in demand. The price per unit from the supplier is given by the equation 
where x is the number of units supplied. Find the equilibrium price and the equilibrium quantity.
A. equilibrium price: $35 per unit; equilibrium quantity: 50 units
B. equilibrium price: $50 per unit; equilibrium quantity: 30 units
C. equilibrium price: $20 per unit; equilibrium quantity: 50 units
D. equilibrium price: $30 per unit; equilibrium quantity: 50 units
Answer: D
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Solve the problem.Find the center of mass of the hemisphere 
if the density is proportional to the distance from the center.
A. 
B. 
C. 
D. 
Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = -2x2 + 7x + 8
A. Increasing on 
; decreasing on 
B. Increasing on 
; decreasing on 
C. Increasing on (-?, 0); decreasing on ( 0, ?)
D. Increasing on (-?, 1); decreasing on ( -1, ?)
Find the composite function for the given functions.f ? g for f(x) = 7x + 8 and g(x) = x2 - 4
A. x2 - 7x - 12 B. 7x2 - 20 C. x2 + 7x + 4 D. 49x2 + 14x - 8
An expression that occurs in calculus is given. Factor completely.2(x + 6)(x - 5)3 + (x + 6)2 ? 6(x - 5)2
A. (x + 6)(x - 5)2(8x + 26) B. 2(x + 5)(x - 6)2(4x + 13) C. 2(x + 6)(x - 5)2(4x + 13) D. (x + 6)(x - 5)2(4x + 13)