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What is the correct evaluation of 3x² + 4x - 2y² + 4y + 5, when x is equal to -1 and y is equal to 5?

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Final answer:

To evaluate the expression, substitute the given values of x and y into the expression and simplify the result. The correct evaluation is -31.

Step-by-step explanation:

To evaluate the expression 3x² + 4x - 2y² + 4y + 5 when x is equal to -1 and y is equal to 5, we simply substitute the given values into the expression.

Plugging in x = -1 and y = 5, we get:

3(-1)² + 4(-1) - 2(5)² + 4(5) + 5

= 3 - 4 - 2(25) + 20 + 5

= 3 - 4 - 50 + 20 + 5

= -1 - 30 = -31.

Therefore, the correct evaluation of the expression is -31.

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