solution(s) of the system of equations‚ if any. x + 5y = 5 4x - 5y = 0 Hint X (1‚5/4 ) (1‚ 4/5) (5/4‚ 1) (4/5‚ 1) 6. Identify the solution(s) of the system of equations‚ if any. 6x + 2y = 8 y = 5 - 5x Hint X (2.5‚ –0.5) (2.5‚ 0.5) (–0.5‚ 2.5) (0.5‚ 2.5) 7. Identify the solution(s) of the system of equations‚ if any. 7x + 2y = 2 6x - 2y = 6 (13/8‚ -75/16) (–4‚ 15) (8/13‚ -15/13) (8‚ –27) Hint X Hint X 8. A system of inequalities is defined by the
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Algebra Tile Lesson Reflection Although my students are in RSP‚ most have significant learning disabilities. Due to their special needs‚ the students have a difficult time performing above the ‘Far Below Basic’ level in most subjects‚ especially in Math. However‚ with the given opportunity to teach a math concept‚ I embraced it and learned from every aspect of the experience. During previous lessons‚ the students had learned about positive and negative integers. Using concrete and
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up. 5. Without using technology‚ describe the end behavior of f(x) = –3x38 + 7x3 – 12x + 13. (1 point) The first exponent is even so the left and right side will go in the same direction‚ the lead coefficient is negative so they will both go down. 6. Using complete sentences‚ explain how to find the zeros of the function f(x) = 2x3 – 9x + 3. (2 points) The last number shows where to find the zero‚ in this case the coordinate would be (0‚3)
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1. What is the exact number of bits in a memory that contains 640M bits? 640 · 1024 = 655‚360 · 1024 = 671‚088‚640 bits. 2. How many bits are in 1 Tb? You are asked to figure out the exact result. Hint: Depending on the tool used to calculate this‚ you may need to use a trick to get the exact result. Note that 220 = 1‚000‚00010 + d‚ where d is the difference between 220 and 1‚000‚00010‚ and that 1T = (1‚000‚00010 + d)2 8 bits/byte => 8 · 1 trillion or 812 => 8‚000‚000‚000‚000 3. Convert the binary
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[pic]= (b) [pic]= (c) 8[pic]+[pic] = (d) 1[pic] = (e) 4[pic] = 5. Find expressions for the following algebraic functions‚ simplify the answers as far as possible. a) [pic] = b) [pic] = (c) [pic] = (d) [pic] = 6. Factor completely: x2 + 3xy – 154y2 = 7. Factor out the greatest common factor: 36x9y9 – 27x7y7 + 90x4y3 8. Simplify the complex function. a). [pic] = b). [pic] c) [pic]= d) [pic]= 9. A manufacturer’s cost is given by C = 400 [pic] +
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MAT 117 /MAT117 Course Algebra 1B MAT 117 /MAT117 Week 9 Discussion Question Version 8 Week 9 DQ If your neighbor asked you to explain what you learned in this course‚ what would you tell her? RESPONSE If my neighbor asked me what I learned in this math course‚ I would tell her "probably the same thing your kids are learning in school." As our generations progress‚ so does the advancement of the math that is taught to our kids in school. What I mean is‚ what may be considered
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STUDY GUIDE LINEAR ALGEBRA AND ITS APPLICATIONS THIRD EDITION UPDATE David C. Lay University of Maryland – College Park Copyright © 2006 Pearson Addison-Wesley. All rights reserved. Reproduced by Pearson Addison-Wesley from electronic files supplied by the author. Copyright © 2006 Pearson Education‚ Inc. Publishing as Pearson Addison-Wesley‚ 75 Arlington Street‚ Boston‚ MA 02116. All rights reserved. No part of this publication may be reproduced‚ stored in a retrieval system‚ or transmitted
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function‚ f(x)‚ that will be the path of your roller coaster. Show all of your work. Answer: To create the polynomial function‚ we would need to find the three roots to create factors. The roots would be the x-coordinates‚ 6‚ -2‚ and -7 so the factors are x-6‚ x+2 and x+7. Now multiple x-6 and x+2 to get x^2-4x-12. Take that answer and multiply it by the third factor‚x+7 and it would result with x^3+x^2-28x-12x-84. Combine like terms and the polynomial function is f(x) = x^3+x^2-40x-84. 2. Using both fundamental
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Chapter 07 - Pricing With Market Power CHAPTER 7 PRICING WITH MARKET POWER CHAPTER SUMMARY This chapter extends the analysis in previous chapters to examine pricing decisions in greater detail. It starts by reviewing the benchmark case of charging one price to all customers. It then examines more sophisticated pricing policies that can be used to increase profits. CHAPTER OUTLINE PRICING OBJECTIVE BENCHMARK CASE: SINGLE PRICE PER UNIT Profit Maximization Relevant Costs Price Sensitivity
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0 and 2x + 4y -12 = 0. Represent this situation geometrically. (3 marks) a b c On comparing the ratio 1 ‚ 1 and 1 find out whether the lines representing the pair of linear a2 b2 c2 equation intersect at a point‚ is parallel or coincident: x + 3y = 6‚ 2x – 3y =12. (3 marks) Solve the pairs of linear equation: (3 marks) 5 2 15 7 − = −1‚ + = 10 (i) x+ y x− y x+ y x− y (ii) u + v = 5uv‚ 3u + 2v = 13uv A boat goes 30km upstream and 44km downstream in 10 hours. In 13 hours‚ it can go 40km upstream and
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