A hypothetical management science problem requires us to find the cheapest "supercircuit" in a graph. Three algorithms are available: Algorithm 1, Algorithm 2, and Algorithm 3.Algorithm 1 always produces the cheapest supercircuit. The amount of time it takes to carry out Algorithm 1 doubles every time we increase the number of vertices by one. Algorithm 1 is
A. an approximate and efficient algorithm.
B. an optimal and inefficient algorithm.
C. an approximate and inefficient algorithm.
D. an optimal and efficient algorithm.
E. none of these
Answer: B
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Find the x- and y-intercepts. If no x-intercepts exist, state so. Round to two decimal places if necessary.f(x) = -x2 + 4x - 8
A. 
, (0, -8)
B. No x-intercepts, (0, 8)
C. No x-intercepts, (0, -8)
D. 
, (0, 8)
Solve the problem.A brick staircase has a total of 20 steps The first step requires 108 bricks. Each successive step requires 5 fewer bricks than the prior one. How many bricks are required to build the staircase?
A. 1210 bricks B. 2420 bricks C. 1160 bricks D. 3110 bricks
Solve the problem.The ages of 30 swimmers who participated in a swim meet are as follows: 17, 35, 29, 32, 39, 17, 49, 58, 18, 42, 50, 18, 25, 27, 40, 19, 28, 19, 57, 48, 23, 36, 45, 52, 32, 21, 21, 40, 29, 48Construct a grouped frequency distribution for the data. Use the classes src="https://sciemce.com/media/4/ppg__tttt0618191134__f1q15g5.jpg" alt="" style="vertical-align: -4.0px;" />.
What will be an ideal response?
Factor by grouping.8a3 - 20a2b + 10ab2 - 25b3
A. (8a2 + 5b2)(a - 5b) B. (4a2 + 5b)(2a - 5b) C. (4a2 - 5b2)(2a + 5b) D. (4a2 + 5b2)(2a - 5b)