135 week 12.notebook
November 16, 2016
LCD: (v+3)(v+4)
v(v+4) + 9(v+3)=v­8
v^2 +4v +9v + 27 ­v +8 = 0
v^2 +12v +35 = 0
(v + 7)(v + 5) = 0
v = ­5, ­7 check NOT ­3,­4
so both work
135 week 12.notebook
November 16, 2016
60(x­5) = 10(x+5)
60x ­ 300 = 10x + 50
­10x +300 ­10x +300
50x = 350
x=7
135 week 12.notebook
November 16, 2016
135 week 12.notebook
November 16, 2016
135 week 12.notebook
November 16, 2016
32=2*2*2*2*2
512=2*2*2*2*2*2*2*2*2
135 week 12.notebook
November 16, 2016
135 week 12.notebook
November 16, 2016
135 week 12.notebook
November 16, 2016
135 week 12.notebook
November 16, 2016
200mile
hr
500(200­w) = 300(200+w)
100000­500w=60000+300w
­60000+500w ­60000+500w
40000 = 800w
400/8 = 50 = w
135 week 12.notebook
November 16, 2016
z
4y + 3
­x2­x+3 3x4 +10x3 + 0x2 ­19x ­13
135 week 12.notebook
November 16, 2016
Factoring to solve an equation
Ex: x + 2 = 0 x = ­2
Ex: 4x = 0 x = 0
Ex. (x + 1) ( x ­ 2) = 0 x= ­1,2
Ex: x2 + 5x + 6 = 0
factor first
(x + 3)( x + 2) = 0 x = ­2,­3
Ex: (x ­ 1)2 + 4 = 5
(x ­ 1)2 = 1
| x ­ 1| = 1
or
x2 ­ 2x + 1 + 4 = 5
x2 ­ 2x = 0
x(x­2)= 0 x=0,2
x ­ 1 = 1
135 week 12.notebook
November 16, 2016
Completing the Square
(x ­ 1) 2 x2 ­ 2x + 1
(x ­ 5 )2
x2 ­ 10x + 25
ex: x2 + 20 x = 144
QUADRATIC FORMULA
Ax2 + Bx + C = 0
note: we used completing the square to find the formula
x = ­B B ­ 4 A C
2A
x= ­ 20 20 ­ 4 (1)(­144)
2(1)
x2+ 20x = 144
x2+20x­144=0
A=1
B=20
C=­144
135 week 12.notebook
November 16, 2016
AC = ­24 <
4w2 + 8w ­ 3w ­ 6
4w (w + 2) ­3 (w + 2)
(w + 2) ( 4w ­ 3)
135 week 12.notebook
November 16, 2016
135 week 12.notebook
November 16, 2016
Happy List
Steve,Eric,Mohammed,Kyle,
Gia,Ashley,Victoria, Brahim,Peter,John,
Shaquira,Honor, Maria, Kristary
135 week 12.notebook
( u ­ 9) ( u ­ 1) = 0
u = 9 , 1
y +2 = 9 y + 2 = 1
y = 7 y = ­1
November 16, 2016