### Solve a Rational Equation

X+3/X - X+2/X+5 = 1/X A x = 1 B x = -1 C x = 2 D x = -2 E x = 4 F x = -4

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X+3/X - X+2/X+5 = 1/X A x = 1 B x = -1 C x = 2 D x = -2 E x = 4 F x = -4

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Please see attached file.

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Solution 1: x has the solution of -1/2 or 4 it means x-0.5 or x-4 is equal to zero => (x-0.5)(x-4)=0 =>x^2 -4.5x+2=0 =>2x^2-9x+4=0 Solution 2: x = -1/2 and x = 4 (x+1/2)(x-4)=0 (x+1/2)(x-8/2)=0 x2-7/2x-2=0 2x2-7x-4=0

Problem is in the attachment.

Use either substitution or elimination to find the locus of points that satisfy both equations x + 4 = 7 x - y = 9 x + y = 3 3x -5y = 17 y = 2x 3x + y = 5 4x - 3y = -1 x + 1 = 4

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Please see attached file for full problem description. 1. Find the antiderivative of 2. Find the area under the curve given by the function on the interval 3. A winner in a number game lottery has to guess correctly 4 numbers. Each of the numbers has to be from 0 to 9. How many possible outcomes of the lottery are

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Please see the attached file for the fully formatted problems.

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