Solve the system of equations using substitution.
A. x = 6 , y = -6; x = -5, y = 5
or (6, -6), (-5, 5)
B. x = -6 , y = - ; x = 5, y =
or ,
C. x = - , y = -6; x =
, y = 5
or ,
D. x = , y = 5 or
Answer: C
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Simplify the radical expression. Assume that all variables represent positive real numbers.
A. 9 B. 3 C. 27 D. not a real number
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
Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation.
A.
B.
C.
D.
Solve the problem.A fossilized leaf contains 25% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14.
A. 2320 B. 25,959 C. 11,180 D. 34,818