135 week 3 - mcccporterr/course/135/documents/135week3.pdf135 week 3 september 14, 2016 x = 3 y = 1...
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135 week 3 September 14, 2016
10x^320x^23x+145x^2+0x+4
2x+4
10x^3+0x^28x20x^2+5x+1420x^2+0x+16
5x2
2x+4 5x2
135 week 3 September 14, 2016
w<9 and w<9
w<9 and w>99<w<9
union
intersection
135 week 3 September 14, 2016
check v = 1 ok
135 week 3 September 14, 2016
2 | v 5 | + 6 > 22
6 6
2 | v 5 | > 16
2 2
| v 5 | > 8
v 5 > 8 OR ( v 5) > 8
v > 13 v + 5 > 8
v > 3
v < 3
or
( oo, 3] U [13, oo)
35 5v + 8v < 17
35 + 3v < 17
35 35
3v < 18
v < 6not zero
2 ( y + 5) + 23 > 2 (7 y)
2y 10 + 23 > 14 2y
NEVER TRUE!!!
135 week 3 September 14, 2016
x = Number of miles
$74 < $65 + .60 x
65 65
9 < .60x
9/.6 = 15 < x
135 week 3 September 14, 2016
x 3 < 5 (x 3) <5
x < 8 and x + 3 < 5
x < 2
x > 2
2 < x < 8
less tha'AND'
LCD: d*g*f
dgf + 9dgf = 2dgf
d g f
gf + 9df = 2dggf gf
9df = 2dg gf
9df = g(2d f)(2d f) (2d f)
9d
(2d f)g = = g
f
135 week 3 September 14, 2016
Equations of lines
y = mx + b slope intercept form
m yintercept is b
Ax + By = C standard form
y y1 = m (x x1) point slope
m = y/x then m perpendicular is x/y
135 week 3 September 14, 2016
m = (y y1)
(x x1)
y 3 = (5/4)x +(5/4)8
y3= (5/4)x + 10
y = (5/4)x + 13
135 week 3 September 14, 2016
m = 2/5
yintercept (0,4)
135 week 3 September 14, 2016
x = 3y = 1
Lines....
Graphs Equations
y=x+3(0,3) makes eq True
(0,0) NOT TRUE
135 week 3 September 14, 2016
negative reciprocol
standard
neg recip
135 week 3 September 14, 2016