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Answers by Thomas E.

Use cross multiplication:   19(5x-1) = (4x+1)(9x+1)   95x - 19 = 36x2 + 13x + 1   36x2 - 82x + 20 = 0   18x2 - 41x + 10 = 0  solve with the quadratic formula   [41 +/- √(412 - 4(18)(10))]/(2(18)   (41...

Let x = the length of the square cut out of each corner.  Then the length/width of our box is 18-2x.  To find volume we use LxWxH or:   (18-x)(18-x)(x) = x3 -36x2 + 324x  Take the first derivative and set it equal to zero to mind the critical values:   3x2...

40p + 55 = 695 (answer)

To solve an equation, you need to isolate the variable on one side:   40p + 55 = 695  First subtract 55 from each side   40p = 640  now diveide both sides by 40   p = 16

y = x2 - 2x - 3   Complete the square and put into vertex format   y = (x2 -2x +1) -3 -1   y = (x-1)2 -4   The vertex is at (1, -4)  the y intercept is (0, -3) and the x intercepts are at (-1,0) AND (3,0)

N=4 means a 4th degree polynomial that would have 4 roots.  Since 4i is a given root then -4i must also be a root.  Let the fourth root = a.  We can set up the polynomial by multiplying the 4 corresponding factors:   f(x) = (x-3)(x-a)(x+4i)(x-4i)  and simplify...

Math question (answer)

1 hr = 60 minutes = 3600 seconds   So in 1 hr: 4,200,000 x 3600 = 15,120,000,000   1 year = 365 days x 24 = 8760 hours   so in 1 year: 15,120,000,000 x 8760 = 132,451,200,000,000