1st Edition

ISBN: 9781259218859

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

Concept explainers

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

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Textbook Question

Chapter 4.9, Problem 4A

Find the intercepts for the function.

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Chapter 4.9, Problem 3A

Chapter 4.9, Problem 5A

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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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