Answer: she put 0 In The box she would have a direct variation
Step-by-step explanation:
Y=5x-0
Lydia has zeroed, this expression means that it is a direct variation
Factor 2x^4 - 7x^3 -27x^2 + 63x + 81
Write as a Set of Linear Factors
Over the complex numbers
(X+3) (x-3) (x+1) (2x-9)
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)