An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 2yConstraintsx ? 0 0 ? y ? 5 x - y ? 3 x + 2y ? 12

A. maximum: 48; at (6, 3)
B. maximum: 24; at (2, 5)
C. maximum: 21; at (3, 0)
D. maximum: 10; at (0, 5)


Answer: A

Mathematics

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Use the ac method to factor the trinomial, or state that the trinomial is prime.12x2 + 7x - 12

A. prime B. (3x + 4)(4x - 3) C. (3x - 4)(4x + 3) D. (12x + 4)(x - 3)

Mathematics

By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit L and the smallest integer N such that  for  otherwise indicate divergence.an = (1 + 0.153/n)n

A. L ? 1.1653, N = 2 B. L ? 1.153, N = 6 C. diverges D. L ? 1.1653, N = 6

Mathematics

Fill in the blank with one of the words or phrases listed below.The  of a nonnegative number a is written as .

A. imaginary unit B. principal square root C. cube root D. distance

Mathematics

Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number.

A. 7 
B. 7 
C. 8 
D. 7 

Mathematics