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Given the values x=3, y=-4, and z=2, what is the result of 3y^2 + 2x - 4z?

  1. -42

  2. 42

  3. 53

  4. 82

The correct answer is: -42

The correct answer requires us to substitute the given values into the expression. By doing so, we get 3(-4)^2 + 2(3) - 4(2) = 3(16) + 6 - 8 = 48 + 6 - 8 = 46 - 8 = 38. This shows that the correct answer is A: -42. Option B: 42 is incorrect because the negative sign in front of y affects the value of the entire expression. Option C: 53 is incorrect because the result would be positive, not negative. Option D: 82 is incorrect because the resulting expression would be much larger than 38 and not negative.