State the solution set of the inequality in interval notation and sketch its graph.15x + 15 > 3(4x + 7)

A. [2, ?)

B. (-?, 2)

C. (12, ?)

D. (2, ?)


Answer: D

Mathematics

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Solve the problem.Find the average value of f(x, y, z) = 3x + 8y + 5 over the rectangular solid in the first octant bounded by the coordinate planes and the planes  .

A.
B. 140
C. 104
D. 68

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Write the rational expression in simplest form. ? ?

A.
B. ?
C. ?
D. ?
E. ?

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Solve the problem.Between 8:30 a.m. and 9:30 a.m., cars drive through the Cappuccino Express at a rate of 12 cars per hour (0.2 per minute). The following formula from probability can be used to determine the probability that a car will arrive within t minutes of 8:30a.m. F(t) = 1 - e-0.2tDetermine how many minutes are needed for the probability to reach 0.6.

Fill in the blank(s) with the appropriate word(s).

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Write a matrix equation equivalent to the system of equations. 3x + 7y = -4-4x - 2y = -4

A.  
  = 
B.

 = 

C.  
 =
D.
 = 

Mathematics