Complete the square for the binomial. Then factor the resulting perfect square trinomial.x2 - x

A. x2 - x +  = 2
B. x2 - x +  = 2
C. x2 - x +  = 2
D. x2 - x +  = 2


Answer: C

Mathematics

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A certain tree grows by 2/t + e(-t2/2) feet per year, where t is the time in years. Use the trapezoidal rule with whole year intervals to estimate the total growth during the stated time interval.From t = 1 to t = 4

A. 4.221 ft B. 3.367 ft C. 4.404 ft D. 4.554 ft

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Find all values that make the expression undefined.

A. 2, 5 B. Never undefined C. 2 D. -2

Mathematics

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the number. A number increased by 7 equals 12.

A. 12x = 7 B. 7x = 12 C. x + 12 = 7 D. x + 7 = 12

Mathematics

Solve the problem.Sketch a graph that depicts the amount of water in a 50-gallon tank during the course of the described pumping operations. The tank is initially full, and then a pump is used to take water out of the tank at a rate of 6 gallons per minute. The pump is turned off after 5 minutes. At that point, the pump is changed to one that will pump water into the tank. The change takes 2 minutes and the water level is unchanged during the switch. Then, water is pumped into the tank at a rate of 2 gallons per minute for 3 minutes.

A.

B.

C.

D.

Mathematics