Provide an appropriate response.Solve: 2x2 - 2x - 1 = 0
Fill in the blank(s) with the appropriate word(s).
x = (1 ± sqrt(3)/2)
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Several logs are stored in a pile with 20 logs on the bottom layer, 19 on the second layer, 18 on the third layer, and so on. If the top layer has one log, how many logs are in the pile? ?
A. 200 B. 190 C. 210 D. 209 E. none of the above
Use slack variables to convert the constraints into linear equations.Maximizez = 4x1 + 12x2 + 7x3subject to:6x1 + 2x2 + x3 ? 12 x1 + 9x2 + x3 ? 24with:x1 ? 0, x2 ? 0, x3 ? 0
A. 6x1 + 2x2 + x3 = s1 - 12 x1 + 9x2 + x3 = s2 - 24 B. 6x1 + 2x2 + x3 = s1 + 12 x1 + 9x2 + x3 = s2 + 24 C. 6x1 + 2x2 + x3 + s1 = 12 x1 + 9x2 + x3 + s2 = 24 D. 6x1 + 2x2 + x3 + s1 = 12 x1 + 9x2 + x3 + s1 = 24
Roberto received the same score on each of five exams, and his mean score is 84. Find his median score and his modal score. ?
A. median 79, mode 74 B. median 89, mode 89 C. median 84, mode 84 D. median 74, mode 74 E. median 89, mode 79
Solve the problem.On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 38 feet. They then rose 19 feet. What was their elevation at this point?
A. 19 ft B. 57 ft C. -57 ft D. -19 ft