A rectangle has a height of 2x^4and a width of x^2+8x+15x

2x⁶ + 16x⁵ + 30x⁴

Step-by-step explanation:

area of rectangle with height 2x⁴ and width x²+8x+15

area = height x width

2x⁴( x²+8x+15)

2x⁴( x²) +2x⁴(8x)+ 2x⁴(15)

2x⁴⁺² + 16x⁴⁺¹ + 30x⁴

2x⁶ + 16x⁵ + 30x⁴

the area of the rectangle in polynomial which is in standardised form is 2x⁶ + 16x⁵ + 30x⁴

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step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: