MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
11th Edition
ISBN: 9781323751671
Author: Lial
Publisher: PEARSON C
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Chapter 3.2, Problem 36E
To determine
To graph: The function,
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Section 2.2 Subsets
71
Exercise Set 2.2
Practice Exercises
In Exercises 1-18, write or in each blank so that the resulting
statement is true.
1. {1, 2, 5}
{1, 2, 3, 4, 5, 6, 7}
2. {2, 3, 7}
{1, 2, 3, 4, 5, 6, 7}
3. {-3, 0, 3}
{-4,-3,-1, 1, 3, 4}
4. {-4, 0, 4}
5. {Monday, Friday}
{-3, -1, 1, 3}
{Saturday, Sunday, Monday, Tuesday, Wednesday}
6. {Mercury, Venus, Earth}
{Venus, Earth, Mars, Jupiter}
7. {x/x is a cat}
{xx is a black cat}
{x|x is a pure-bred dog}
ibrary
mbers,
ause the
entire
sual
8. {xx is a dog}
9. (c, o, n, v, e, r, s, a, t, i, o, n}
{v, o, i, c, e, s, r, a, n, t, o, n}
10. [r, e, v, o, l, u, t, i, o, n}
{t, o, l, o, v, e, r, u, i, n}
33. A = {x|x E N
and
5 < x < 12}
B
=
{x|x E N
and
2 ≤ x ≤ 11}
A_ B
34. A =
{x|x = N
and
3 < x < 10}
B =
A.
{x|x = N
and
2 ≤ x ≤ 8}
B
35. Ø
{7, 8, 9,..., 100}
36. Ø
_{101, 102, 103, . . ., 200}
37. [7, 8, 9,...}
38. [101, 102, 103, ...}
39. Ø
40. { }
{ }
e
In Exercises 41-54, determine whether each statement is true or
false. If…
A truck loaded with rocks weighs 14,260 lb. If the truck weighs 8420 lb, how much do the rocks weigh?
Find the lengths of r, s, t, and u shown in the figure below if r+s=34. Round your answers to the nearest tenth.
Note that the figure is not drawn to scale.
16
37°
r =
S
u =
t
S
u
24
☑
Chapter 3 Solutions
MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
Ch. 3.1 - Checkpoint 1
Find the domain and range of the...Ch. 3.1 - Checkpoint 2
Do the following define...Ch. 3.1 - Checkpoint 3
Do the following define y as a...Ch. 3.1 - Checkpoint 4
Give the domain of each...Ch. 3.1 - Checkpoint 5
Let Find the...Ch. 3.1 - Prob. 6CPCh. 3.1 - Prob. 7CPCh. 3.1 - For each of the following rules, state whether it...Ch. 3.1 -
For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...
Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - Prob. 13ECh. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 -
State the domain of each function. (See Example...Ch. 3.1 - For each of the following functions,...Ch. 3.1 - For each of the following functions,...Ch. 3.1 - For each of the following functions,...Ch. 3.1 - For each of the following functions,...Ch. 3.1 - Prob. 28ECh. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(a)...Ch. 3.1 - For each of the following functions, find
(a)....Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(See...Ch. 3.1 - For each of the following functions, find f(p);...Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find the...Ch. 3.1 - For each of the following functions, find the...Ch. 3.1 - For each of the following functions, find the...Ch. 3.1 - For each of the following functions, find the...Ch. 3.1 - Use a calculator to work these exercises. (See...Ch. 3.1 -
Use a calculator to work these exercises. (See...Ch. 3.1 -
Use a calculator to work these exercises. (See...Ch. 3.1 - Use a calculator to work these exercises. (See...Ch. 3.1 - Use a calculator to work these exercises. (See...Ch. 3.1 -
Use a calculator to work these exercises. (See...Ch. 3.1 -
Use a calculator to work these exercises. (See...Ch. 3.1 -
Use a calculator to work these exercises. (See...Ch. 3.1 - Prob. 55ECh. 3.1 - Use a calculator to work these exercises. (See...Ch. 3.1 - Use a calculator to work these exercises. (See...Ch. 3.1 - Prob. 58ECh. 3.1 - Use the table feature of a graphing calculator to...Ch. 3.1 - Use the table feature of a graphing calculator to...Ch. 3.2 - Checkpoint 1 Graph g(x)=35x.Ch. 3.2 -
Checkpoint 2
Graph
Ch. 3.2 - Checkpoint 3 Graph f(x)={2x3ifx1x2ifx1.Ch. 3.2 - Checkpoint 4 Graph each function. f(x)=|x4|...Ch. 3.2 - Prob. 5CPCh. 3.2 - Checkpoint 6 Graph y=[12x+1].Ch. 3.2 - Prob. 7CPCh. 3.2 - Prob. 8CPCh. 3.2 - Prob. 9CPCh. 3.2 - Graph each function. (See Examples 1–4.)
1.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
2.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
3.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
4.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
5.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
6.
Ch. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Graph each function. (See Examples 1–4.)
10.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
11.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
12.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
13.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
14.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
15.
Ch. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Postal Rates Theaccompanying table gives rates...Ch. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Graph each function. (See Examples 7–9.)
31.
Ch. 3.2 - Graph each function. (See Examples 7–9.)
32.
Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Use a graphing calculator or other technology to...Ch. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Work these exercise. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercise. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - See Examples 2, 3, 10 and 11 as you do Exercises...Ch. 3.2 - Prob. 41ECh. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - Prob. 48ECh. 3.2 - 59. Business Sarah Hendrickson needs to rent a van...Ch. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.3 - Checkpoint 1
The total cost of producing 10...Ch. 3.3 - Prob. 2CPCh. 3.3 - Prob. 3CPCh. 3.3 - Prob. 4CPCh. 3.3 - Prob. 5CPCh. 3.3 - Prob. 6CPCh. 3.3 - Checkpoint 7
Suppose price and quantity demanded...Ch. 3.3 - Prob. 8CPCh. 3.3 - Business Write a cost function for each of the...Ch. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Business Assume that each of the given situations...Ch. 3.3 - Prob. 6ECh. 3.3 - Business Assume that each of the given situations...Ch. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Business In Exercises 9–12, a cost function is...Ch. 3.3 - Business Work these exercises. (See Example...Ch. 3.3 - Prob. 14ECh. 3.3 - Business Work these exercises. (See Example...Ch. 3.3 - Business Work these exercises. (See Example...Ch. 3.3 - Prob. 17ECh. 3.3 - Business Work these problems. (See Example...Ch. 3.3 - Business Work these problems. (See Examples 2 and...Ch. 3.3 - 20. In deciding whether to set up a new...Ch. 3.3 - Business Work these problems. (See Example 5.)...Ch. 3.3 - Business Work these problems. (See Example 5.) Gas...Ch. 3.3 - Business Work these problems. (See Example...Ch. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - 35. The revenue (in millions of dollars) from the...Ch. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Business Suppose you are the manager of a firm....Ch. 3.3 - Business Suppose you are the manager of a firm....Ch. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Business Suppose you are the manager of a firm....Ch. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Economics Work the following exercises. (See...Ch. 3.3 - Economics Work the following exercises. (See...Ch. 3.3 - 51. Let the supply and demand for bananas in cents...Ch. 3.3 - Economics Work the following exercises. (See...Ch. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.4 - Checkpoint 1
Graph each quadratic...Ch. 3.4 - Prob. 2CPCh. 3.4 - Prob. 3CPCh. 3.4 - Prob. 4CPCh. 3.4 - Prob. 5CPCh. 3.4 - Prob. 6CPCh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - The graph of each of the functions in Exercises...Ch. 3.4 - The graph of each of the functions in Exercises...Ch. 3.4 - Without graphing, determine the vertex of the...Ch. 3.4 - Without graphing, determine the vertex of the...Ch. 3.4 - Without graphing, determine the vertex of the...Ch. 3.4 - Without graphing, determine the vertex of the...Ch. 3.4 - Prob. 9ECh. 3.4 - Match each function with its graph, which is one...Ch. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Find the rule of a quadratic function whose graph...Ch. 3.4 - Find the rule of a quadratic function whose graph...Ch. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Without graphing, find the vertex of the parabola...Ch. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Without graphing, find the vertex of the parabola...Ch. 3.4 - Without graphing, determine the x- and...Ch. 3.4 - Prob. 26ECh. 3.4 - Without graphing, determine the x- and...Ch. 3.4 - Without graphing, determine the x- and...Ch. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Graph each parabola and find its vertex and axis...Ch. 3.4 - Work these problems. (See Example...Ch. 3.4 - Work these problems. (See Example 6.)
34. Souvenir...Ch. 3.4 - Work these problems. (See Example 6.) Nerve...Ch. 3.4 - Work these problems. (See Example 6.) Bullet...Ch. 3.4 - Work these problems. (See Example 6.) Automobile...Ch. 3.4 - Work these problems. (See Example...Ch. 3.4 - Use a calculator to work these...Ch. 3.4 - Use a calculator to work these...Ch. 3.4 - 41. Business Suppose the price p of widgets is...Ch. 3.4 - 42. Business The supply function for a commodity...Ch. 3.4 - Business Find the equilibrium quantity and...Ch. 3.4 - Business Find the equilibrium quantity and...Ch. 3.4 - Business Find the equilibrium quantity and...Ch. 3.4 - Business Find the equilibrium quantity and...Ch. 3.4 - Business The revenue function R(x) and the cost...Ch. 3.4 - Business The revenue function R(x) and the cost...Ch. 3.4 - Business The revenue function R(x) and the cost...Ch. 3.4 - Business The revenue function R(x) and the cost...Ch. 3.4 - Business A store owner finds that at a price of...Ch. 3.4 - Business A store owner finds that at a price of ...Ch. 3.4 - Business Work each problem. (See Example 8.)
53. A...Ch. 3.4 - Business Work each problem. (See Example 8.) The...Ch. 3.4 - Business Work each problem. (See Example 8.)
51. A...Ch. 3.4 - Business Work each problem. (See Example...Ch. 3.4 - Business Work each problem. (See Example 8.)
53. A...Ch. 3.4 - Business Work each problem. (See Example...Ch. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.5 - Checkpoint 1
Graph
Ch. 3.5 - Checkpoint 2
Graph
Ch. 3.5 - Checkpoint 3
Find a viewing window on a graphing...Ch. 3.5 - Checkpoint 4
Multiply out the expression for in...Ch. 3.5 - Checkpoint 5
Graph
Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - In Exercises 5-8, state whether the graph could...Ch. 3.5 - In Exercises 5-8, state whether the graph could...Ch. 3.5 - In Exercises 5-8, state whether the graph could...Ch. 3.5 - In Exercises 5-8, state whether the graph could...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - 18.
Graph each of the given polynomial functions....Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - Work these exercises. Home Depot Revenue The...Ch. 3.5 - Work these exercises. Caterpillar Revenue The...Ch. 3.5 - Work these exercises. Home Depot Costs The cost...Ch. 3.5 - Work these exercises. Caterpillar Costs The cost...Ch. 3.5 - Work these exercises.
25. Home Depot Profit Find...Ch. 3.5 - Work these exercises. Caterpillar Profit Find the...Ch. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 27ECh. 3.5 - In Exercises 27−31, use a calculator to evaluate...Ch. 3.5 - Prob. 29ECh. 3.5 - Polynomial Models Use a graphing calculator to do...Ch. 3.5 - Polynomial Models Use a graphing calculator to do...Ch. 3.5 - Prob. 32ECh. 3.6 - Checkpoint 1
Graph the following.
(a)
(b)
Ch. 3.6 - Prob. 2CPCh. 3.6 - Prob. 3CPCh. 3.6 - Prob. 4CPCh. 3.6 - Checkpoint 5
Rework Example 5 with the...Ch. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Prob. 6ECh. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Prob. 10ECh. 3.6 - Prob. 12ECh. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Average Cost For Exercises 21 and 22, recall that...Ch. 3.6 - Prob. 23ECh. 3.6 - Work these problems. (See Example 2.) NASA The...Ch. 3.6 - Work these problems. (See Example 2.) Pollution...Ch. 3.6 - Prob. 26ECh. 3.6 - Business Sketch the portion of the graph in...Ch. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3 - In Exercises 1–6, state whether the given rule...Ch. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Graph the functions in Exercises 13–24.
13.
Ch. 3 - Prob. 14RECh. 3 - Graph the functions in Exercises 13–24.
15.
Ch. 3 - Graph the functions in Exercises 13–24.
16.
Ch. 3 - Graph the functions in Exercises 13–24.
17.
Ch. 3 - Prob. 18RECh. 3 - Graph the functions in Exercises 13–24.
19.
Ch. 3 - Graph the functions in Exercises 13–24.
20.
Ch. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 24RECh. 3 - Prob. 23RECh. 3 - 25. Business Let be a function that gives the...Ch. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Business In Exercises 29-32, find the following:...Ch. 3 - Business In Exercises 29–32, find...Ch. 3 - Business In Exercises 29–32, find the...Ch. 3 - Business In Exercises 29-32, find the...Ch. 3 - 33. Business The cost of producing x ink...Ch. 3 - 34. Business The cost of producing x laser...Ch. 3 - 35. Business Suppose the demand and price for the...Ch. 3 - Prob. 36RECh. 3 - Without graphing, determine whether each of the...Ch. 3 - Without graphing, determine whether each of the...Ch. 3 - Without graphing, determine whether each of the...Ch. 3 - Without graphing, determine whether each of the...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Determine whether the functions in Exercises 49–52...Ch. 3 - Determine whether the functions in Exercises 49–52...Ch. 3 - Determine whether the functions in Exercises 49–52...Ch. 3 - Determine whether the functions in Exercises 49–52...Ch. 3 - Prob. 53RECh. 3 - Prob. 54RECh. 3 - 55. Student Loans Interest rates for subsidized...Ch. 3 - Natural Gas Pricing The price of European natural...Ch. 3 - Netflix Revenue Netflix Inc. reported revenue (in...Ch. 3 - Netflix Revenue Netflix Inc. reported revenue (in...Ch. 3 - Use quadratic regression and the data from...Ch. 3 - 60. Use quadratic regression and the data from...Ch. 3 - Prob. 62RECh. 3 - Prob. 61RECh. 3 - Prob. 63RECh. 3 - Prob. 64RECh. 3 - Prob. 65RECh. 3 - Prob. 66RECh. 3 - Use a graphing calculator to do Exercises 67...Ch. 3 - Use a graphing calculator to do Exercises 67 -70....Ch. 3 - Use a graphing calculator to do Exercises 67...Ch. 3 - Prob. 70RECh. 3 - Prob. 71RECh. 3 - Prob. 72RECh. 3 - Prob. 73RECh. 3 - Prob. 74RECh. 3 - Prob. 75RECh. 3 - Prob. 76RECh. 3 - Prob. 77RECh. 3 - Prob. 78RECh. 3 - Prob. 79RECh. 3 - Prob. 80RECh. 3 - Find the maximum profit and the number of washing...Ch. 3 - 2. Is the quantity of washing machine loads the...Ch. 3 - Based on this information, what price should the...Ch. 3 - Suppose the owner of the laundry has hired your...
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Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY