Which table represents a linear function?

  see below (upper left)

Step-by-step explanation:

When the x-values are sequential, a linear function will have y-values that differ by the same amount.

The upper left table has y-values that differ by -2.

The upper right table has y-values that differ by 2, -6, 2. These values are not the same.

The lower left table has y-values that differ by -1, 5, -13. These values are not the same.

The lower right table has y-values that differ by 1, 3, 5. These values are not the same.*

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The upper left table represents a linear function.

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* The 2nd differences are a constant 2, so this table represents a 2nd-degree polynomial.

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step-by-step explanation:

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answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)