Solve the problem.A rectangular window pane must have a perimeter of 112 centimeters. Write a completely factored polynomial whose values give the area of the window pane if one side is x centimeters long.
A. x(28 - x)2
B. x2(28 - x)
C. x(56 - x)
D. x(x - 84)
Answer: C
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Many companies have discovered that outsourcing lowers costs and
A. improves morale. B. improves quality. C. increases customer responsiveness. D. decreases turnover.
Given the terms of a finite sequence, classify it as arithmetic, geometric, or neither.0.25, 1.5, 9, 54
A. Arithmetic B. Neither C. Geometric
Find the first term and the common ratio of the geometric sequence.an = 7n-1
A. a1 = 1, r = 7
B. a1 = -1, r =
C. a1 = 7, r = -7
D. a1 = 0, r = 7n-1
Answer the question.The graph below shows the level curves of a differentiable function f(x, y) (thin curves) as well as the constraint g(x, y) = -
= 0 (thick circle). Using the concepts of the orthogonal gradient theorem and the method of Lagrange multipliers, estimate the coordinates corresponding to the constrained extrema of f(x,y).
A. (1.5, 0.2), (0.7, 1.3), (-1.5, 0.2), (-0.7, 1.3), (-1.5, -0.2), (-0.7, -1.3), (1.5, -0.2), (0.7, -1.3) B. (1.1, 1.1), (-1.1, 1.1), (-1.1,-1.1), (1.1,-1.1) C. (1.5, 0), (0, 1.5), (-1.5, 0), (0, -1.5) D. (1.3, 0.7), (-1.3, 0.7), (-1.3,-0.7), (1.3,-0.7)