February 9th, 2015
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Feb. 9 th , 2015
Transcript of February 9th, 2015
Feb. 9th, 2015
Warm-Up Section of
Notebook, pls.
1. What is the cost of 1 round trip ticket between Japan & New York? ≈ 14 hour flight, (Economy class) $1602.00
Dollars & $en$e:2. This past weekend, the NBA’s two best teams, the Atlanta Hawks and Golden State Warriors played for the first time this year. They will meet only once more, in March. How much is one courtside seat for the next game between these two teams?
$17,402.25(each)
3. What is the price of a 2015 Toyota Camry?
$24,800.00
Dollars & $en$e:
Dollars & $en$e:
What is the cost of Tuition for each
semester (12 credits), at theUniversity of Hawaii
The Year: 1989, 25 years ago
10 Mb = 90 sec. (non-HD) video10 Mb x 100 = 1 Gb
If your phone has 8Gb of storage, it has 800 times more storage capacity than this hard drive
Number
$en$e
$How Much?
In 1989 prices, your phone (8Gb)is worth how much in storage space alone.$2,800,000
The Cost of RAM in 1989:
Most smartphones have about 500mb of memory. This is 8,000 times more memory than the capacity of the chip being advertised.
How much memory is
64k?
This date icon file
would use all of it.
In 1989 prices, your phone is worth $11,700,000 in memory space alone. The value of your phone in 1989 prices is now
over $14,000,000.00
1989: The first ‘mobile phone’ ad appears on television
Class Notes Section of
Notebook, pls.
PARALLEL LINES
Two lines are parallel
The lines will (sadly), never meet
Slopes are
identical(the same)
meaning..
PERPENDICULAR LINES
Two lines are perpendicular
The lines intersect at right angle
Slopes are negative
reciprocalsmeaning..
Parallel and Perpendicular
Lines
Graphs of Parallel Lines
The red line is the graph of
y = – 4x – 3
and the blue line is the graph of
y = – 4x – 7
Testing if Lines are Parallel
Are the lines parallel? 12 3 9 and -8 2 14x y x y
The slope of line 1: m = -4 The slope of line 2: m = -4
Since the slopes are equal the lines are parallel.
Are the lines 2 4 and 2 4 12x y x y parallel?
Since the slopes are equal the lines are parallel.
Constructing Parallel Lines
Find the equation of a line going through the point (3, -5) and
parallel to 2 83
y x
Using the point-slope equation where the slope m = -2/3and the point is (3, -5) we get: y = -2/3x - 3
Find the equation of the line going through the point (-2,7) and
parallel to 2x + y = 8
Perpendicular Lines Perpendicular lines are lines that are the negative
reciprocal of each other.
The red line is the graph of
y = – 2x + 5
and the blue line is the
graph of
y = 1/2 x +4
Testing if Lines Are Perpendicular1
Are the lines 2 5 and 4 perpendicular?2
x y y x
The product of the slopes of perpendicular lines is always what?
12 1
2
The slope of line 1: m = -2 The slope of line 2: m = 1
2
Are the lines 6x – 3y and
2y = -4x + 4 perpendicular?
The slope of line 1: m = 2 The slope of line 2: m = -2
The product of the slopes does not = -1; the lines are not perpendicular.
Constructing Perpendicular Lines
Find the equation of a line going through the point (3, -5) and
perpendicular to 2 83
y x
Using the point-slope equation: m = ? 3/2
The equation of the perpendicular line will be: y = 𝟑
𝟐x -
𝟏𝟗
𝟐
Find the equation of the line going through the point (4,1) and
perpendicular to 3 7y x
Graphing Inequalities
Inequalities are graphed as a boundary line first by
changing the inequality to an equation. Before drawing
the boundary line, determine if the line should be solid or
dashed. Graph the inequality: y < -3/2 x - 4
y > -x
y < 4
x < 3
You have $5.00 or less in nickels and dimes. Write the inequality and sketch a graph to describe how many of each coin you could have. Let n = # of nickels
Let d = # of dimes
0.05 n + 0.10 d < 5.00or
5 n + 10 d < 500
Graphing Linear Inequalities
What are the two intercepts?
If you have zero nickels, how many dimes do you have?
What is the inequality?
5n + 10d < 500
n d
0 50
100 0
0 10 20 30 40 50 60 70 80 90 100n
d
60
50
40
30
20
10
0
Write the Inequality Shown:
Class Work:
Complete 3.2
Test Review,
(Optional, but encouraged)
