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]
Okay so if the pan is 12 inches wide you can divided 3 inches by that and get 4. Then do the same thing for the length, 18, and you get 6. Multiply 6 by 4 to get the number of brownies Pablo cut.
You can check my answer by drawing a box on a piece of paper, and drawing little boxes inside. Keep in mind that each brownie is 1 unit, or 3 inches.
Answer:
<em>a) x = -2+√3 and -2-√3</em>
<em>b) x = -1 + 2√3/3 and -1 - 2√3/3</em>
<em>c) x = 3.185 and 0.315</em>
Step-by-step explanation:
To solve the following quadratic equation, we will use the general formula
x = -b±√b²-4ac/2a
a) x²+4x+1 = 0
a = 1, b = 4 and c = 1
Substitute into the formula
x = -4±√4²-4(1)(1)/2(1)
x = -4±√16-4/2
x = -4±√12/2
x = -4±2√3/2
x = (-4+2√3)/2 and (-4-2√3)/2
<em>x = -2+√3 and -2-√3</em>
b) 3x²+6x-1 = 0
a = 3, b = 6 and c = -1
Substitute into the formula
x = -6±√6²-4(3)(-1)/2(3)
x = -6±√36+12/6
x = -6±√48/6
x = -6±4√3/6
x = (-6+4√3)/6 and (-6-4√3)/6
<em>x = -1 + 2√3/3 and -1 - 2√3/3</em>
<em></em>
c) 2x² - 7x + 2 = 0
a = 2, b = -7 and c = 2
x = -(-7)±√(-7)²-4(2)(2)/2(2)
x = 7±√49-16/4
x =7±√33/4
x = 7±5.74/4
x = 7+5.74/4 and 7-5.74/4
x = 12.74/4 and 1.26/4
<em>x = 3.185 and 0.315</em>
<em></em>
0.000491803279
Hope i helped
Its basic statistics...
Use your phone calculator to solve this by typing in...
10!= 3,628,800
the word ''assistance'' has ten letters
the ! represents the number of possible ways it can be arranged
if you don't have a calculator, on paper it is basically...
10x9x8x7x6x5x4x3x2x1= 3,628,800
