Algebra Know-It-ALL
Stating and reducing the solution The solution to the system is now clear. We have no fractions to reduce, because we kept the s ...
306 The Matrix Morphing Game When you get the unit diagonal form, you should end up with sloppy fractions in the far-right colum ...
Put the following three-by-three linear system into matrix form. Then play the matrix morphing game for awhile, trying to get t ...
308 CHAPTER 20 Review Questions and Answers Part Two This is not a test! It’s a review of important general concepts you learned ...
Answer 11-2 If we have two numbers, variables, or mathematical expressions p and q, then five types inequalities can exist: If ...
310 Review Questions and Answers Question 11-7 Is it possible to multiply a quantity by a positive real number and have the prod ...
Chapter 12 Question 12-1 Suppose a is a constant and x is a variable for which we want to solve. We see the following equation: ...
312 Review Questions and Answers Question 12-4 Suppose we see the following equation where a,b,c, and d are constants and x is t ...
Part Two 313 Question 12-7 Suppose a,b, and c are constants, and x is a variable. How can we manipulate the follow- ing equation ...
314 Review Questions and Answers Answer 12-9 If a and b are constants and x is the variable, then the standard form is ax+b= 0 A ...
Part Two 315 Answer 13-1 The maximal domain is set A. The co-domain is set D. The essential domain is set B. The range is set C. ...
316 Review Questions and Answers Answer 13-4 The mapping is a bijection between B and C, because it is both a surjection and an ...
Part Two 317 in set C. The six points in set B represent all the elements in that set, and the five elements in setC represent a ...
318 Review Questions and Answers Answer 14-1 The first quadrant of the Cartesian plane is usually the one at the upper right, an ...
Part Two 319 Answer 14-3 A horizontal line through point P has the equation y=−3. A horizontal line running through pointQ has t ...
320 Review Questions and Answers Question 14-8 Can we restrict the domains of relations shown by curves F or H to make either of ...
Part Two 321 Answer 14-9 Using the horizontal-line test, we can see that G and H represent functions of y, at least within the v ...
322 Review Questions and Answers That means Δy/Δx= 2/5, which is the slope of the line. The y-intercept is the y-value at Q, bec ...
Part Two 323 Question 15-3 In Fig. 20-5, how can we determine the slope of line PR? The y-intercept? Answer 15-3 We know the ord ...
324 Review Questions and Answers Question 15-5 How can we determine the point-slope form of the equation for line PQ, based on t ...
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