
Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 12, Problem 326PT
Find the twentieth term of an arithmetic sequence where the first term is two and the common difference is -7.
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Determine if the values of the variables listed are solutions of the system of equations.
2x - y = 4
3x+5y= - 6
x=1, y = 2; (1,-2)
Is (1, 2) a solution of the system of equations?
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No
Yes
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10. A sound wave's amplitude can be modeled by the function y = −7 sin ((x-1) + 4). Within the interval 0 < x < 12, when does the function have an amplitude
of 4? (Select all that apply.)
9.522 seconds
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Chapter 12 Solutions
Intermediate Algebra
Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Find a general term for the sequence whose first...Ch. 12.1 - Find a general term for the sequence whose first...Ch. 12.1 - Find a general term for the sequence whose first...Ch. 12.1 - Find a general term for the sequence whose first...
Ch. 12.1 - Find a general term for the sequence whose first...Ch. 12.1 - Find a general term for the sequence whose first...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Write the first five terms of the sequence whose...Ch. 12.1 - Expand the partial sum and five its value: i=153i.Ch. 12.1 - Expand the partial sum and five its value: i=154i.Ch. 12.1 - Expand the partial sum and five its value:...Ch. 12.1 - Expand the partial sum and five its value:...Ch. 12.1 - Write each sum using summation notation:...Ch. 12.1 - Write each sum using summation notation:...Ch. 12.1 - Write each sum using summation notation:...Ch. 12.1 - Write each sum using summation notation: 2+46+810.Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - 3In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first terms...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, write the first five...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, find a general term...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - In the following exercises, using factorial...Ch. 12.1 - the following exercises, using factorial notation,...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, expand the partial sum...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In the following exercises, write each sum using...Ch. 12.1 - In your own words, explain how to write the terms...Ch. 12.1 - Which terms of the sequence are negative when the...Ch. 12.1 - In your own words, explain what is meant by n!...Ch. 12.1 - Explain what each part of the notation k=1122k...Ch. 12.2 - Determine if each sequence is arithmetic. If so,...Ch. 12.2 - Determine if each sequence is arithmetic. If so,...Ch. 12.2 - Write the first five terms of the sequence where...Ch. 12.2 - Write the first five terms of the sequence where...Ch. 12.2 - Find the twenty-seventh term of a sequence where...Ch. 12.2 - Find the eighteenth term of a sequence where the...Ch. 12.2 - Find the eleventh term of a sequence where the...Ch. 12.2 - Find the nineteenth term of a sequence where the...Ch. 12.2 - Find the first term and common difference of a...Ch. 12.2 - Find the first term and common difference of a...Ch. 12.2 - Find the sum of the first 30 terms of the...Ch. 12.2 - Find the sum of the first 30 terms of the...Ch. 12.2 - Find the sum of the first 50 terms of the...Ch. 12.2 - Find the sum of the first 50 terms of the...Ch. 12.2 - Find the sum: i=130(6i4).Ch. 12.2 - Find the sum: i=135(5i3).Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, determine if each...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, write the first five...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the first term...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find the sum of the...Ch. 12.2 - In the following exercises, find each sum. 117....Ch. 12.2 - In the following exercises, find each sum. 118....Ch. 12.2 - In the following exercises, find each sum. 119....Ch. 12.2 - In the following exercises, find each sum. 120....Ch. 12.2 - In the following exercises, find each sum. 121....Ch. 12.2 - In the following exercises, find each sum. 122....Ch. 12.2 - In your own words, explain how to determine...Ch. 12.2 - ?In your own words, explain how the first two...Ch. 12.2 - In your own words, explain how to find the general...Ch. 12.2 - In your own words, explain how to find the sum of...Ch. 12.3 - Determine if each sequence is geometric. If so...Ch. 12.3 - Determine if each sequence is geometric. If so...Ch. 12.3 - Write the first five terms of the sequence where...Ch. 12.3 - Write the first five terms of the sequence where...Ch. 12.3 - Find the thirteenth term of a sequence where the...Ch. 12.3 - Find the twelfth term of a sequence where the...Ch. 12.3 - Find the ninth term of the sequence...Ch. 12.3 - Find the eleventh term of the sequence...Ch. 12.3 - Find the sum of the first 20 terms of the...Ch. 12.3 - Find the sum of the first 20 terms of the...Ch. 12.3 - Find the sum: i=1156(2)i.Ch. 12.3 - Find the sum: i=1105(2)i.Ch. 12.3 - Find the sum of the infinite geometric series...Ch. 12.3 - Find the sum of the infinite geometric series...Ch. 12.3 - Write the repeating decimal 0.4 as a fraction.Ch. 12.3 - Write the repeating decimal 0.8 as a fraction.Ch. 12.3 - What is the total effect on the economy of a...Ch. 12.3 - What is the total effect on the economy of a...Ch. 12.3 - New grandparents decide to invest 3200 per month...Ch. 12.3 - Arturo just got his first full-time job after...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if the...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, determine if each...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, write the first five...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the indicated...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - In the following exercises, find the sum of the...Ch. 12.3 - 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In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, write each repeating...Ch. 12.3 - In the following exercises, solve the problem....Ch. 12.3 - In the following exercises, solve the problem....Ch. 12.3 - In the following exercises, solve the problem....Ch. 12.3 - In the following exercises, solve the problem....Ch. 12.3 - In the following exercises, solve the problem....Ch. 12.3 - In your own words, explain how to determine...Ch. 12.3 - In your own words, explain how to find the general...Ch. 12.3 - In your own words, explain the difference between...Ch. 12.3 - In your own words, explain how to determine if an...Ch. 12.4 - Use Pascal’s Triangle to expand (x+y)5.Ch. 12.4 - Use Pascal’s Triangle to expand (p+q)7.Ch. 12.4 - Use Pascal’s Triangle to expand (x+2)4.Ch. 12.4 - Use Pascal’s Triangle to expand (x+1)6.Ch. 12.4 - Use Pascal’s Triangle to expand (2x3)4.Ch. 12.4 - Use Pascal’s Triangle to expand (2x1)6.Ch. 12.4 - Evaluate each binomial coefficient: (a)(61)...Ch. 12.4 - Evaluate each binomial coefficient: (a)(21) (b)(...Ch. 12.4 - Use the Binomial Theorem to expand (x+y)5.Ch. 12.4 - Use the Binomial Theorem to expand (m+n)6.Ch. 12.4 - Use the Binomial Theorem to expand (x3)5.Ch. 12.4 - Use the Binomial Theorem to expand (y1)6.Ch. 12.4 - Use the Binomial Theorem to expand (3x2y)5.Ch. 12.4 - Use the Binomial Theorem to Expand (4x3y)4.Ch. 12.4 - Find the third term of (x+y)6.Ch. 12.4 - Find the fifth term of (a+b)8.Ch. 12.4 - Find the coefficient of the x5 term of (x+4)8.Ch. 12.4 - Find the coefficient of the x4 term of (x+2)7.Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, expand each binomial...Ch. 12.4 - In the following exercises, evaluate. 210. (a)...Ch. 12.4 - In the following exercises, evaluate. 211. (a)...Ch. 12.4 - In the following exercises, evaluate. 212. (a)...Ch. 12.4 - In the following exercises, evaluate. 213. (a)...Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, expand each binomial....Ch. 12.4 - In the following exercises, find the indicated...Ch. 12.4 - In the following exercises, find the indicated...Ch. 12.4 - In the following exercises, find the indicated...Ch. 12.4 - In the following exercises, find the indicated...Ch. 12.4 - In the following exercises, find the coefficient...Ch. 12.4 - In the following exercises, find the coefficient...Ch. 12.4 - In the following exercises, find the coefficient...Ch. 12.4 - the following exercises, find the coefficient of...Ch. 12.4 - In the following exercises, find the coefficient...Ch. 12.4 - the following exercises, find the coefficient of...Ch. 12.4 - your own words explain how to find the rows of the...Ch. 12.4 - In your own words, explain the pattern of...Ch. 12.4 - In your own words, explain the difference between...Ch. 12.4 - your own words, explain how to find a specific...Ch. 12 - In the following exercises, write the first five...Ch. 12 - the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, find a general term...Ch. 12 - In the following exercises, find a general term...Ch. 12 - In the following exercises, find a general term...Ch. 12 - In the following exercises, find a general term...Ch. 12 - In the following exercises, find a general term...Ch. 12 - In the following exercises, using factorial...Ch. 12 - In the following exercises, using factorial...Ch. 12 - In the following exercises, using factorial...Ch. 12 - In the following exercises, expand the partial sum...Ch. 12 - In the following exercises, expand the partial sum...Ch. 12 - In the following exercises, expand the partial sum...Ch. 12 - In the following exercises, expand the partial sum...Ch. 12 - In the following exercises, write each sum using...Ch. 12 - In the following exercises, write each sum using...Ch. 12 - In the following exercises, write each sum using...Ch. 12 - In the following exercises, determine if each...Ch. 12 - In the following exercises, determine if each...Ch. 12 - In the following exercises, determine if each...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, find the term...Ch. 12 - In the following exercises, find the term...Ch. 12 - In the following exercises, find the term...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the first term...Ch. 12 - In the following exercises, find the first term...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find each sum. 277....Ch. 12 - In the following exercises, find each sum. 278....Ch. 12 - In the following exercises, find each sum. 279....Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, determine if the...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, write the first five...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the indicated...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum of the...Ch. 12 - In the following exercises, find the sum 294....Ch. 12 - In the following exercises, find the sum 295....Ch. 12 - In the following exercises, find the sum of each...Ch. 12 - In the following exercises, find the sum of each...Ch. 12 - In the following exercises, write each repeating...Ch. 12 - In the following exercises, write each repeating...Ch. 12 - In the following exercises, solve the problem....Ch. 12 - In the following exercises, solve the problem....Ch. 12 - In the following exercises, expand each binomial...Ch. 12 - In the following exercises, expand each binomial...Ch. 12 - In the following exercises, expand each binomial...Ch. 12 - In the following exercises, expand each binomial...Ch. 12 - äIn the following exercises, expand each binomial...Ch. 12 - In the following exercises, evaluate. 307. 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- 3:56 wust.instructure.com Page 0 Chapter 5 Test Form A of 2 - ZOOM + | Find any real numbers for which each expression is undefined. 2x 4 1. x Name: Date: 1. 3.x-5 2. 2. x²+x-12 4x-24 3. Evaluate when x=-3. 3. x Simplify each rational expression. x²-3x 4. 2x-6 5. x²+3x-18 x²-9 6. Write an equivalent rational expression with the given denominator. 2x-3 x²+2x+1(x+1)(x+2) Perform the indicated operation and simplify if possible. x²-16 x-3 7. 3x-9 x²+2x-8 x²+9x+20 5x+25 8. 4.x 2x² 9. x-5 x-5 3 5 10. 4x-3 8x-6 2 3 11. x-4 x+4 x 12. x-2x-8 x²-4 ← -> Copyright ©2020 Pearson Education, Inc. + 5 4. 5. 6. 7. 8. 9. 10. 11. 12. T-97arrow_forwardProblem #5 Suppose you flip a two sided fair coin ("heads" or "tails") 8 total times. a). How many ways result in 6 tails and 2 heads? b). How many ways result in 2 tails and 6 heads? c). Compare your answers to part (a) and (b) and explain in a few sentences why the comparison makes sense.arrow_forwardA local company has a 6 person management team and 20 employees. The company needs to select 3 people from the management team and 7 employees to attend a regional meeting. How many different possibilities are there for the group that can be sent to the regional meeting?arrow_forward
- I have 15 outfits to select from to pack for my business trip. I would like to select three of them to pack in my suitcase. How many packing possibilities are there?arrow_forwardThere are 15 candidates running for any of 5 distinct positions on the local school board. In how many different ways could the 5 positions be filled?arrow_forwardCelina is picking a new frame for a custom piece of artwork. She has to select a frame size, material, and color. There are four different frame sizes, three different frame materials, and six different frame colors. She must chose one option only from each category. How many different possible frames could Celina pick from?arrow_forward
- A research study in the year 2009 found that there were 2760 coyotes in a given region. The coyote population declined at a rate of 5.8% each year. How many fewer coyotes were there in 2024 than in 2015? Explain in at least one sentence how you solved the problem. Show your work. Round your answer to the nearest whole number.arrow_forwardAnswer the following questions related to the following matrix A = 3 ³).arrow_forwardExplain the following termsarrow_forward
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