Solve the problem.Find the value of b for which 1 + eb + e2b + e3b + ... = 8.

A. ln 
B. ln 
C. ln 
D. ln 


Answer: B

Mathematics

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Find the solution to the system of equations by substitution.x = -yy + x = 6

A. (1, 5) B. (1, 1) C. infinite number of solutions D. no solution

Mathematics

Solve the equation by completing the square.x2 + 4x = 3

A. {-2 ± }
B. {2 + }
C. {-2 ± 2}
D. {-1 ± }

Mathematics

Translate the ellipse with the given equation so that it is centered at the given point. Find the new equation and sketch its graph. +  = 1; (-4, -4)

A.  +  = 1

B.  +  = 1

C.  +  = 1

D.  +  = 1

Mathematics

Factor f(x) into linear factors given that k is a zero of f(x).f(x) = 2x3 - 3x2 - 5x + 6; k = 1

A. (x - 1)(x + 2)(2x - 3) B. (x - 1)(x - 2)(2x + 3) C. (x + 1)(x + 2)(2x - 3) D. (x - 1)(x + 1)(2x - 6)

Mathematics