1. what is the vertex form of the equation? 2. what is the expression in factored form? 3. use the quadratic formula to solve the equation. 4. simplify the expression.

1.vertex form is

to get into vertex form, complete the square

step 1: group x terms

step 2: factor coefient in front of x^2 term

prep for next step: take 1/2 of linear (1st dgree term) and square it

,

step 3: add positive and negative of that previous number inside the parenthasees

factor perfect squaer trionmial

take out that -36 by expansion

2. factor out the 2

what 2 numbers multiply to get 12 and add to get 8?

2 and 6

3.

for

in our case

a=1, b=-7, c=-6

so and

4. remember that so

treat as a variable

[tex}16[/tex]

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.