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Representing Colors Colors for computer monitors are often described using ordered triples. One model, called the RGB system, uses red, green, and blue to generate all colors. The figure describes the relationships of these colors in this system. Red is (1, 0, 0), green is (0, 1, 0), and blue is (0, 0, 1). Since equal amounts of red and green combine to form yellow, yellow is represented by (1, 1, 0). Similarly, magenta (a deep reddish purple) is a mixture of blue and red and is represented by (1, 0, 1).
Cyan is (0, 1, 1), since it is a mixture of blue and green.
Another color model uses cyan, magenta, and yellow. Referred to as the CMY model, it is used in the four-color printing process for textbooks like this one. In this system, cyan is (1, 0, 0), magenta is (0, 1, 0), and yellow is (0, 0, 1).
In the CMY model, red is created by mixing magenta and yellow. Thus, red is (0, 1, 1) in this system. To convert ordered triples in the RGB model to ordered triples in the CMY model, we can use the following matrix equation. In both of these systems, color intensities vary between 0 and I. (Sources: I. Kerlow, The Art of 3-D Computer Animation and Imaging; R. Wolff.)
2. In the RGB model, rust is (0.552, 0.168, 0.066). Use the matrix equation to determine the mixture of cyan, magenta, and yellow that makes rust in the CMY model.
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Chapter 6 Solutions
College Algebra with Modeling & Visualization, Books a la Carte Edition plus MyLab Math with Pearson eText -- Access Card Package (6th Edition)
- Solve the system by graphing: {x=6 (x3 )2+ (y1 )2=9.arrow_forwardWrite the system of equations that that corresponds to the augmented matrix. 201. [2433| 2 1]arrow_forwardThree components are connected to form a system as shown in the accompanying diagram. Because the components in the 2–3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2–3 subsystem |-------2-------| ---1------>| |----------> |-------3-------| The experiment consists of determining the condition of each component [S(success) for a functioning component and F(failure) for a nonfunctioning component]. a. Which outcomes are contained in the event A that exactly two out of the three components function? b. Which outcomes are contained in the event B that at least two of the components function? c. Which outcomes are contained in the event C that the system functions? d. List outcomes in C', A U C, B U C.arrow_forward
- A certain brand of tea bags comes in packages of 5,10, and 20 sachets, costing $5, $9, and $15 per package, repectively. A store sold 16 packages containing a total of 165 sachets and took in $140. a. Write a system of equations to match the description of the information give. b. Determine how many packages of each type were sold using the Inverse Method.arrow_forwardAdd. (7y² + y - 5) + (5y² -y - 6) (7y +y - 5) + (5y² - y-6) = D (Simplify your answer.)arrow_forwardSolve the problem given in imagearrow_forward
- Find the rank of A = ( 1 -1 2 3) 2 6 -8 1 5 3 -2 10arrow_forwardMatch these values of r with the accompanying scatterplots: -1, -0.788, -0.998, 1, and 0.998. Click the icon to view the scatterplots. Match the values of r to the scatterplots. Scatterplot 1, r= 1 Scatterplot 2, r=-0.998 Scatterplot 3, r= -1 Scatterplot 4, r= 0.998 Scatterplot 5, r=-0.788 n example Get more help Scatterplots A 15- 14- 13- 12- 2 10 8 6 4- 2- Scatterplot 1 7 0 0.2 0.4 0.6 0.8 Scatterplot 4 0 0 0.2 0.4 0.6 0.8 X 다 O Print 2 6 0 . Scatterplot 2 0.2 0.4 0.6 0.8 X 1 Scatterplot 5 -8- 0 0.2 0.4 0.6 0.8 X Done 1 Q O G A 9 2 3 Scat 0 0.2 0.4 . Xarrow_forwardWhich of the following graphs could describe the system of equations? A Blue B Green C Purple D Pinkarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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