Pathways to Math Literacy (Loose Leaf)

1st Edition

ISBN: 9781259218859

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Textbook Question

Chapter 4.7, Problem 8C

Our next goal is to multiply ( x − 5 ) by ( x 2 + 3 x + 4 ) .

a. First, multiply x by each term of x 2 + 3 x + 4 , and list the three products.

b. Now multiply −5 by each term of x 2 + 3 x + 4 , and again list the three products. (Careful with the negative sign!)

c. Add all six products from parts a and b, combining any like terms. This is (we hope!) the product of ( x − 5 ) and x 2 + 3 x + 4 .

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Chapter 4.7, Problem 7C

Chapter 4.7, Problem 9C

Chapter 4 Solutions

Pathways to Math Literacy (Loose Leaf)

Ch. 4.1 - After reading the opening paragraph, what do you...Ch. 4.1 - Prob. 1G Ch. 4.1 - Prob. 2G Ch. 4.1 - Prob. 3G Ch. 4.1 - Prob. 4G Ch. 4.1 - Prob. 5G Ch. 4.1 - Prob. 6G Ch. 4.1 - Prob. 1C Ch. 4.1 - Prob. 2C Ch. 4.1 - Prob. 3C

Ch. 4.1 - Prob. 4C Ch. 4.1 - Prob. 5C Ch. 4.1 - This phenomenon is so common, in fact, that data...Ch. 4.1 - Find the standard deviation for Ji-Mins golf...Ch. 4.1 - Discuss how comparing the two standard deviations...Ch. 4.1 - A standard package of Oreos is supposed to contain...Ch. 4.1 - A standard package of Oreos is supposed to contain...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - Prob. 1R Ch. 4.1 - Prob. 2R Ch. 4.1 - Prob. 3R Ch. 4.1 - Prob. 4R Ch. 4.1 - Prob. 1A Ch. 4.1 - Prob. 2A Ch. 4.1 - Prob. 3A Ch. 4.1 - In a group of 500 women, how many would you expect...Ch. 4.1 - Prob. 5A Ch. 4.1 - Prob. 6A Ch. 4.2 - Prob. 0LO Ch. 4.2 - Prob. 1C Ch. 4.2 - Prob. 2C Ch. 4.2 - Prob. 3C Ch. 4.2 - Prob. 4C Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - Prob. 5CA Ch. 4.2 - Suppose that we know that the distance between...Ch. 4.2 - How does the distance between points P and Q...Ch. 4.2 - The lower illustration also shows points P, Q, M,...Ch. 4.2 - Based on the scale provided on the two-dimensional...Ch. 4.2 - Illustrate the grade of each trail by drawing a...Ch. 4.2 - Use the Pythagorean theorem to estimate the true...Ch. 4.2 - Prob. 7G Ch. 4.2 - How far would you actually drive in covering that...Ch. 4.2 - Prob. 9G Ch. 4.2 - Prob. 11G Ch. 4.2 - What does the Pythagorean theorem say? When can...Ch. 4.2 - Why cant you just find the distance between two...Ch. 4.2 - Prob. 3R Ch. 4.2 - Estimate the elevation of point A.Ch. 4.2 - Prob. 2A Ch. 4.2 - How far would you walk along the trail from point...Ch. 4.2 - Prob. 4A Ch. 4.3 - Prob. 0LO Ch. 4.3 - The amount of profit that a company makes when...Ch. 4.3 - If he decides to make the play area 5 feet wide,...Ch. 4.3 - Prob. 2G Ch. 4.3 - Prob. 3G Ch. 4.3 - Based on the graph, what width makes the area as...Ch. 4.3 - Prob. 5G Ch. 4.3 - Prob. 6G Ch. 4.3 - Prob. 7G Ch. 4.3 - Prob. 8G Ch. 4.3 - Prob. 9G Ch. 4.3 - Prob. 10G Ch. 4.3 - Prob. 11G Ch. 4.3 - Prob. 12G Ch. 4.3 - Prob. 13G Ch. 4.3 - Prob. 14G Ch. 4.3 - Prob. 15G Ch. 4.3 - Prob. 1T Ch. 4.3 - If youre looking at a graph, what are some key...Ch. 4.3 - Prob. 2R Ch. 4.3 - Type a short answer to each question. Think of...Ch. 4.3 - Prob. 4R Ch. 4.3 - About how high above the ground was the ball when...Ch. 4.3 - How far away from where it was kicked did the ball...Ch. 4.3 - How high did the punt go?Ch. 4.3 - The hang time of a punt is how long its in the air...Ch. 4.3 - After how many seconds was the ball 45 feet above...Ch. 4.3 - Prob. 7A Ch. 4.3 - Prob. 8A Ch. 4.4 - Prob. 0LO Ch. 4.4 - Describe the differences between linear and...Ch. 4.4 - Prob. 2C Ch. 4.4 - Prob. 3C Ch. 4.4 - Prob. 4C Ch. 4.4 - Prob. 5C Ch. 4.4 - Prob. 6C Ch. 4.4 - Prob. 7C Ch. 4.4 - Prob. 8C Ch. 4.4 - Prob. 9C Ch. 4.4 - Prob. 10C Ch. 4.4 - If youre the coffee drinker represented by the...Ch. 4.4 - Find the relative change in caffeine for each...Ch. 4.4 - Complete this important statement about...Ch. 4.4 - Looking at the graph of the caffeine remaining in...Ch. 4.4 - Whats the multiplication factor that youd need to...Ch. 4.4 - Prob. 6G Ch. 4.4 - Prob. 7G Ch. 4.4 - Prob. 8G Ch. 4.4 - Prob. 9G Ch. 4.4 - Use either TABLE or TRACE commands on your...Ch. 4.4 - Prob. 11G Ch. 4.4 - Compare exponential growth and exponential decay....Ch. 4.4 - What did you learn in this lesson about the value...Ch. 4.4 - Prob. 3R Ch. 4.4 - How much money is Joe earning when hes 30?Ch. 4.4 - How much money is he allowing himself to spend...Ch. 4.4 - How much is Joe earning when hes 35? Show a...Ch. 4.4 - How much money is Joe allowing himself to spend...Ch. 4.4 - Carefully explain the meaning of the crossover...Ch. 4.5 - Prob. 0LO Ch. 4.5 - Prob. 1G Ch. 4.5 - Prob. 2G Ch. 4.5 - Prob. 3G Ch. 4.5 - Prob. 4G Ch. 4.5 - Prob. 5G Ch. 4.5 - Prob. 6G Ch. 4.5 - Prob. 7G Ch. 4.5 - Prob. 8G Ch. 4.5 - Prob. 9G Ch. 4.5 - Prob. 10G Ch. 4.5 - Prob. 11G Ch. 4.5 - Prob. 1C Ch. 4.5 - Prob. 2C Ch. 4.5 - Prob. 3C Ch. 4.5 - Prob. 4C Ch. 4.5 - Prob. 5C Ch. 4.5 - Prob. 6C Ch. 4.5 - Prob. 7C Ch. 4.5 - Prob. 8C Ch. 4.5 - Prob. 9C Ch. 4.5 - Prob. 10C Ch. 4.5 - Prob. 11C Ch. 4.5 - Prob. 12C Ch. 4.5 - Prob. 13C Ch. 4.5 - Prob. 14C Ch. 4.5 - Prob. 15C Ch. 4.5 - Prob. 16C Ch. 4.5 - Prob. 1R Ch. 4.5 - Prob. 2R Ch. 4.5 - Prob. 3R Ch. 4.5 - Prob. 4R Ch. 4.5 - Prob. 1A Ch. 4.5 - Prob. 2A Ch. 4.5 - Prob. 3A Ch. 4.5 - Prob. 4A Ch. 4.6 - Prob. 0LO Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Prob. 5C Ch. 4.6 - Prob. 6C Ch. 4.6 - Prob. 7C Ch. 4.6 - Prob. 8C Ch. 4.6 - Prob. 9C Ch. 4.6 - Prob. 10C Ch. 4.6 - Prob. 11C Ch. 4.6 - Prob. 12C Ch. 4.6 - Use Newtons law of universal gravitation to find...Ch. 4.6 - Prob. 14C Ch. 4.6 - Prob. 1G Ch. 4.6 - Prob. 2G Ch. 4.6 - Prob. 3G Ch. 4.6 - Prob. 5G Ch. 4.6 - Prob. 6G Ch. 4.6 - Prob. 7G Ch. 4.6 - A fun fact: you can use a microwave oven and a bar...Ch. 4.6 - Prob. 1R Ch. 4.6 - Prob. 2R Ch. 4.6 - Prob. 3R Ch. 4.6 - Prob. 4R Ch. 4.6 - Prob. 1A Ch. 4.6 - Prob. 2A Ch. 4.6 - Prob. 3A Ch. 4.6 - Prob. 4A Ch. 4.6 - Prob. 5A Ch. 4.6 - Prob. 6A Ch. 4.6 - Prob. 7A Ch. 4.7 - Prob. 0LO Ch. 4.7 - Prob. 1G Ch. 4.7 - Prob. 2G Ch. 4.7 - Prob. 3G Ch. 4.7 - Prob. 4G Ch. 4.7 - Prob. 5G Ch. 4.7 - Prob. 6G Ch. 4.7 - Prob. 7G Ch. 4.7 - Prob. 8G Ch. 4.7 - Prob. 9G Ch. 4.7 - Prob. 10G Ch. 4.7 - Prob. 11G Ch. 4.7 - From years of experience, the owner of a small...Ch. 4.7 - Prob. 13G Ch. 4.7 - Prob. 14G Ch. 4.7 - Prob. 15G Ch. 4.7 - Prob. 16G Ch. 4.7 - Prob. 17G Ch. 4.7 - Prob. 18G Ch. 4.7 - Prob. 19G Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - Prob. 5C Ch. 4.7 - Prob. 6C Ch. 4.7 - Prob. 7C Ch. 4.7 - Our next goal is to multiply (x5)by(x2+3x+4). a....Ch. 4.7 - Prob. 9C Ch. 4.7 - What is a polynomial? What is meant by the phrase...Ch. 4.7 - Prob. 2R Ch. 4.7 - What questions do you have about this lesson?Ch. 4.7 - Prob. 1A Ch. 4.7 - Prob. 2A Ch. 4.7 - Prob. 3A Ch. 4.7 - Prob. 4A Ch. 4.7 - Prob. 5A Ch. 4.7 - Prob. 6A Ch. 4.7 - Prob. 7A Ch. 4.7 - Prob. 8A Ch. 4.7 - Prob. 9A Ch. 4.7 - Prob. 10A Ch. 4.8 - Prob. 0LO Ch. 4.8 - Perform the multiplication: 57=Ch. 4.8 - Prob. 2G Ch. 4.8 - If the volume in the YouTube window is set at half...Ch. 4.8 - If the volume in the YouTube window is set at half...Ch. 4.8 - If the volume in the YouTube window is set all the...Ch. 4.8 - To get the overall volume, we _______ the...Ch. 4.8 - Prob. 7G Ch. 4.8 - Prob. 8G Ch. 4.8 - Prob. 9G Ch. 4.8 - Prob. 10G Ch. 4.8 - Prob. 11G Ch. 4.8 - Prob. 12G Ch. 4.8 - Prob. 1C Ch. 4.8 - For the polynomial P(x)=(x1)(x+5), find each...Ch. 4.8 - Use the table and graph provided for...Ch. 4.8 - Prob. 4C Ch. 4.8 - Prob. 5C Ch. 4.8 - y(x)=(x+5)(x+4)(x2) Zeros: x intercepts:Ch. 4.8 - Prob. 7C Ch. 4.8 - Prob. 8C Ch. 4.8 - Prob. 9C Ch. 4.8 - Prob. 10C Ch. 4.8 - Prob. 11C Ch. 4.8 - Prob. 12C Ch. 4.8 - Prob. 13C Ch. 4.8 - Prob. 14C Ch. 4.8 - Prob. 15C Ch. 4.8 - Prob. 16C Ch. 4.8 - Prob. 17C Ch. 4.8 - Prob. 18C Ch. 4.8 - Prob. 19C Ch. 4.8 - If the current yield per tree is 800, and will go...Ch. 4.8 - If the current yield per tree is 800, and will go...Ch. 4.8 - Prob. 22C Ch. 4.8 - Prob. 23C Ch. 4.8 - Prob. 24C Ch. 4.8 - Prob. 1R Ch. 4.8 - Prob. 2R Ch. 4.8 - Prob. 3R Ch. 4.8 - Prob. 1A Ch. 4.8 - Prob. 2A Ch. 4.8 - Prob. 3A Ch. 4.8 - Prob. 4A Ch. 4.8 - Prob. 5A Ch. 4.8 - Prob. 6A Ch. 4.9 - Prob. 0LO Ch. 4.9 - Prob. 1C Ch. 4.9 - Use the quadratic formula to find the two...Ch. 4.9 - One of the solutions provides the length of the...Ch. 4.9 - What is the significance of the other solution in...Ch. 4.9 - Whats the connection between the solutions of the...Ch. 4.9 - Prob. 6C Ch. 4.9 - Prob. 7C Ch. 4.9 - Prob. 8C Ch. 4.9 - Prob. 9C Ch. 4.9 - Prob. 10C Ch. 4.9 - Prob. 1G Ch. 4.9 - Prob. 2G Ch. 4.9 - Prob. 3G Ch. 4.9 - Prob. 4G Ch. 4.9 - Prob. 5G Ch. 4.9 - Prob. 6G Ch. 4.9 - Experiment: The Time Needed To Drain a Bottle...Ch. 4.9 - Prob. 8G Ch. 4.9 - Experiment: The Time Needed To Drain a Bottle...Ch. 4.9 - What is the quadratic formula used for? Why is...Ch. 4.9 - What types of applied problems can be solved using...Ch. 4.9 - Prob. 3R Ch. 4.9 - Use a calculator or spreadsheet to make a table of...Ch. 4.9 - Find the vertex of the parabola using the formula...Ch. 4.9 - Explain what each coordinate of the vertex means.Ch. 4.9 - Find the intercepts for the function.Ch. 4.9 - Explain what each intercept means.Ch. 4.9 - Describe when the ball is headed upward, and when...Ch. 4.9 - Prob. 7A Ch. 4.9 - The distance for golf shots is traditionally...Ch. 4.9 - Prob. 9A Ch. 4.9 - Prob. 10A Ch. 4.9 - Prob. 11A Ch. 4.9 - Prob. 12A Ch. 4.10 - After reading the opening paragraph, what do you...Ch. 4.10 - Record the data from your experiment in the table....Ch. 4.10 - Use these data to create a scatter plot. Use the...Ch. 4.10 - Using your graphing calculator, find an...Ch. 4.10 - Use your function to approximate the height of the...Ch. 4.10 - Evaluate your equation for x=0. What does your...Ch. 4.10 - What does the variable x represent?Ch. 4.10 - In the equation y=abx that models your data, what...Ch. 4.10 - In the equation y=abx that models your data, what...Ch. 4.10 - Using data from your original table, fill in this...Ch. 4.10 - Use these data to create a second scatter plot.Ch. 4.10 - Based on the scatter plot, what kind of equation...Ch. 4.10 - Use your graphing calculator to find the equation...Ch. 4.10 - Your equation has a variable in it, but also has...Ch. 4.10 - If you were to drop the golf ball from your...Ch. 4.10 - Find the relative change in height from one bounce...Ch. 4.10 - (This one requires some thought, but is the key...Ch. 4.10 - Whats the bounce height as a percentage of the...Ch. 4.10 - Write an expression that calculates the bounce...Ch. 4.10 - Write an equation that describes the bounce height...Ch. 4.10 - Using your answer to Question 17, its possible to...Ch. 4.10 - What do you think would be some sources of error...Ch. 4.10 - Type a short answer to each question. Weve studied...Ch. 4.10 - How could you tell if neither of those types of...Ch. 4.10 - Type a short answer to each question. Take another...Ch. 4.10 - What questions do you have about this lesson?Ch. 4.10 - The equation y=10,000(1.06)x describes the growth...Ch. 4.10 - Prob. 2A Ch. 4.10 - The equation y=10,000(1.06)x...Ch. 4.10 - The model in Questions 1-3 is an example of...Ch. 4.10 - The model in Questions 1-3 is an example of...Ch. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - Prob. 7A Ch. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...

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