Simplify the expression.(1 + cot ?)(1 - cot ?) - csc2 ?

A. 0
B. 2 cot2 ?
C. 2
D. -2 cot2 ?


Answer: D

Mathematics

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Find the coordinates of the vertex of the quadratic function.f(x) = (x + 1)2 + 1

A. (-1, 1) B. (0, 1) C. (1, 0) D. (-1, -1)

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Write the sentence as a proportion.3 is to 11 as 21 is to 77.

A.  =  
B.  =  
C.  = 
D.  =  

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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

Mathematics