Name the property illustrated by the statement.(2 + 6) + 3 = (6 + 2) + 3
A. associative property of addition
B. additive inverse property
C. distributive property
D. commutative property of addition
Answer: D
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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 8, u '(2) = 3, v(2) = -1, v '(2) = -4.
at x = 2
A. - 35
B. 29
C. 
D. - 29
Solve the equation by completing the square.x2 + 5x - 5 = 0
A. 
B. 
C. 
D. {-5 - 3
, -5 + 3
}
Find the value of k for which the first polynomial is a factor of the second polynomial.x - 5; -x3 + 2x2 + kx - 15
A. k = -12 B. k = 18 C. k = 17 D. k = 16
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