Solve this equation by factorization. a) 4/3 x^2 - 2x + 3/4 = 0

For ease in factoring this equation, multiply all terms by the LCD (which is 3*4, or 12) to remove the fractions:

16x^2 - 24x + 9 = 0

From here the factoring process is straightforward.  The square root of 16x^2 is 4x and that of 9 is 3, so try this set of factors:

(4x-3)(4x-3) = 0.  This does indeed multiply out to 16x^2 - 24x + 9 = 0, which is equivalent to the given 4/3 x^2 - 2x + 3/4 = 0.

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour