Factor.5x2 - 14x - 24
A. (5x + 6)(x - 4)
B. (6x + 5)(x - 4)
C. (x + 5)(x - 4)
D. (x - 6)(x - 4)
Answer: A
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Solve the problem.A large oil company produces three grades of gasoline: regular, unleaded, and super-unleaded. To produce these gasolines, equipment is used which requires as input certain amounts of each of the three grades of gasoline. To produce a dollar's worth of regular requires inputs of $0.14 worth of regular, $0.18 worth of unleaded, and $0.17 worth of super-unleaded. To produce a dollar's worth of unleaded requires inputs of $0.14 worth of regular, $0.15 worth of unleaded, and $0.13 worth of super-unleaded. To produce a dollar's worth of super-unleaded requires inputs of $0.15 worth of regular, $0.17 worth of unleaded, and $0.11 worth of super-unleaded. In addition, the oil company has final demands for each of the different grades of gasoline. Find the technology matrix that
would be used in determining the total output of each grade of gasoline. What will be an ideal response?
Find the average rate of change for the function over the given interval.Find the average rate of change from (-1, 3) to (2, -3).
A. 2
B. -
C.
D. -2
Solve.What is the value of x if the volume of the box is 392 cubic feet?
A. x = 12 B. x = 11 C. x = 144 D. x = 96
Solve the problem.A manufacturer makes three different drinks. Drink 1 contains 10% juice and 90% carbonated water. Drink 2 contains 50% juice and 50% carbonated water. Drink 3 contains 90% juice and 10% carbonated water. The manufacturer currently has available 60 liters of juice and 160 liters of carbonated water. Drink 1 sells for $1 per liter, Drink 2 sells for $2 per liter, and Drink 3 sells for $3.80 per liter. How many liters of each drink should the manufacturer make to maximize revenues?
A. 172.5 liters of Drink 1, 0 liters of Drink 2, 47.5 liters of Drink 3 B. 128.0 liters of Drink 1, 20 liters of Drink 2, 37.5 liters of Drink 3 C. 142.5 liters of Drink 1, 60 liters of Drink 2, 30.0 liters of Drink 3 D. 152.5 liters of Drink 1, 40 liters of Drink 2, 40.0 liters of Drink 3