What is the first step in solving the equation 3x^2 – 6x +1=0 by completing the square?

See below.

Step-by-step explanation:

So we have the equation:

The very first step is to remove the coefficient in front of the x². Thus, we would factor out a 3 from the first and second terms:

And we would proceed from there.

Further notes:

I'm going to complete the square just in case you need it:

Divide -2 by 2 and the square it. We get 1. Then add that to the left. Be careful to multiply it by 3.

Perfect square trinomial. Simplify:

And we are done :)

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.