Which equation is not a function?

y = 3x - 20
x + 2y = 8
y = x^2 - 4
x + y^2 = 16

x + y² = 16

Step-by-step explanation:

x + y² = 16 fails the vertical line test.  If you draw this horizontal parabola and then draw a vertical line through the graph, the line will intersect the parabola in 2 places.  This is a sure-fire way to recognize that x + y² = 16 is not a function.

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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)