Dave won a hot dog eating contest by eating 18 hot dogs in 10 minutes. He ate two more than twice the amount of the runner-up. Which equation, when solved for x, gives the number of hot dogs the runner-up ate? A) 2x − 2 = 18 B) 2x + 2 = 18 C) x 2 − 2 = 18 D) x 2 + 2 = 18

The correct anser is option

B. 2x + 2 = 18

Step-by-step explanation:

Let the number of hot dogs eaten by the runner up be represented by x

If Dave ate 2 more than twice x, this means that the number eaten by him = 2x + 2

Since the total number of hot dogs eaten by Dave is 18

Therefore, the equation will be

2x + 2 = 18

So the number of hot dogs eaten by the runner-up is determined by solving for x

2x= 18-2

2× = 16

x = 16/2

x = 8

The runner up are 8

While Dave are

2×8 + 2 = 18.

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option