Determine whether A = B, A ? B, B ? A, A ? B, B ? A, or if none of these applies.A = {3, 4, 5}B = {2, 3, 4, 5}

A. A ? B
B. A ? B
C. B ? A and B ? A
D. A ? B and A ? B


Answer: D

Mathematics

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Find the absolute maxima and minima of the function on the given domain.  on the closed triangular region bounded by the lines      and  

A. Absolute maximum: 120 at    absolute minimum: 0 at  
B. Absolute maximum: 81 at    absolute minimum: 0 at  
C. Absolute maximum: 81 at    absolute minimum: 36 at  
D. Absolute maximum: 120 at    absolute minimum: 81 at  

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A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x)? Q(x) + R(x).P(x) = 2x4 - x3 - 15x2 + 3xd(x) = x + 3

A. (x + 3)(2x3 - 5x2 + 3) + 9 B. (x + 3)(2x3 - 7x2 + 6x - 15) + 45 C. (x + 3)(2x3 - 7x2 + 6x - 15) - 45 D. (x + 3)(2x3 + 5x2 + 3) + 9

Mathematics

Solve the problem.The gravitational attraction A between two masses varies inversely as the square of the distance between them. If the force of attraction is 2.25 lb when the masses are 4 ft apart, what is the attraction when the masses are 6 ft apart?

A. 1 lb B. 3 lb C. 2 lb D. 4 lb

Mathematics

Factor the expression by removing the common factor with the smallest exponent. ? ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics