Answer the question.Which of the following statements are true?I: If A and B are convex sets then A + B is convex.II: A four dimensional polytope always has the same number of vertices and edges.

A. I
B. II
C. Neither I or II
D. Both I and II


Answer: A

Mathematics

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Factor the special products, which are the sum or difference of two perfect cubes.d3 + 64

A. (d + 4)(d2 + 16) B. (d + 4)(d2 + 4d + 16) C. (d + 4)(d2 - 4d - 16) D. (d + 4)(d2 - 4d + 16)

Mathematics

Solve the equation for solutions over the interval [0, 2?). Write solutions as exact values or to four decimal places, as appropriate.sin  + cos  = 

A.
B. {?}
C.
D. {0 , ?}

Mathematics

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. Zeros: 3, multiplicity 2; -3, multiplicity 2; degree 4

A. f(x) = x4 - 18x2 + 81 B. f(x) = x4 + 6x3 - 18x2 + 27x - 81 C. f(x) = x4 - 6x3 + 18x2 - 27x + 81 D. f(x) = x4 + 18x2 + 81

Mathematics

Determine whether the graph is the graph of a function.

A. yes B. no

Mathematics