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]

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)