Factor the perfect square trinomial completely.(m + 5n)2 - 6(m + 5n) + 9

A. (m + 5n - 3)2
B. (m - n - 15)2
C. (m + 5n + 3)2
D. (m - 5n - 3)2


Answer: A

Mathematics

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Use the rules for exponents to rewrite the expression and then evaluate the new expression. 

A.
B. 1
C. -125 
D. 0

Mathematics

Construct a truth table for the statement.(p ? q) ? (~q ? t)

A.

TTTT
T T F F
T F T F
T F F F
F T T F
F T F F
F F T F
F F F F
B.
TTTF
T T F T
T F T T
T F F T
F T T T
F T F F
F F T T
F F F T

Mathematics

Refer to the weighted voting system  and the Shapley-Shubik definition of power. (The four players will be called P1, P2, P3, and P4.)The Shapley-Shubik power distribution of the weighted voting system is

A. P1; P2; P3; P4.
B. P1; P2; P3: P4.
C. P1; P2; P3; P4: 0.
D. P1; P2; P3; P4: 0.
E. none of these

Mathematics

Solve the inequality. Graph the solution set and write it in interval notation. -24 ? -4x - 4 ? -12

A. [2, 5]

B. (-5, -2)

C. [-5, -2]

D. (2, 5)

Mathematics