College Algebra By Openstax
17th Edition
ISBN: 9781506698229
Author: Jay Abramson;arizona State University
Publisher: XANEDU PUBLISHING
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Textbook Question
Chapter 1.1, Problem 38SE
For the following exercises, solve for the variable.
38.
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Chapter 1 Solutions
College Algebra By Openstax
Ch. 1.1 - Write each of thefollowing as a rational number....Ch. 1.1 - Write each of the following rational numbers as...Ch. 1.1 - Determine whether each of the following numbers is...Ch. 1.1 - Classify each number as either positive or...Ch. 1.1 - Classify each number as being a natural number...Ch. 1.1 - Use the order of operations to evaluate each of...Ch. 1.1 - Use the properties of real numbers to rewrite and...Ch. 1.1 - List the constants and variables for each...Ch. 1.1 - Evaluate the expression 113y for each value of y....Ch. 1.1 - Evaluate each expression for the given values....
Ch. 1.1 - A photograph with length L and width W is placed...Ch. 1.1 - Simplify each algebraic expression....Ch. 1.1 - If the amount P is deposited into an account...Ch. 1.1 - Is 2 an example of a rational terminating,...Ch. 1.1 - What is the order of operations? What acronym is...Ch. 1.1 - What do the Associative Properties allow us to do...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, simplify the given...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, solve for the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - For the following exercises, simplify the...Ch. 1.1 - REAL-WORLD APPLICATIONS For the following...Ch. 1.1 - REAL-WORLD APPLICATIONS For the following...Ch. 1.1 - For the following exercises, solve the given...Ch. 1.1 - For the following exercises, solve the given...Ch. 1.1 - For the following exercises, consider this...Ch. 1.1 - For the following exercises, consider this...Ch. 1.1 - For the following exercise, solve the given...Ch. 1.1 - For the following exercises, use a graphing...Ch. 1.1 - For the following exercises, use a graphing...Ch. 1.1 - If a whole number is not a natural number, what...Ch. 1.1 - Determine whether the statement is true or false:...Ch. 1.1 - Determine whether the statement is true or false:...Ch. 1.1 - Determine whether the simplified expression is...Ch. 1.1 - Determine whether the simplified expression is...Ch. 1.1 - The division of two whole numbers will always...Ch. 1.1 - What property of real numbers would, simplify the...Ch. 1.2 - Write each of the following products with a single...Ch. 1.2 - Write each of the following products with a single...Ch. 1.2 - Write each of the following products with a single...Ch. 1.2 - Simplify each expression using the zero exponent...Ch. 1.2 - Write each of the following quotients with a...Ch. 1.2 - Write each of the following quotients with a...Ch. 1.2 - Simplify each of the following quotients as much...Ch. 1.2 - Simplify each of the following quotients as much...Ch. 1.2 - Simplify each expression and write the answer with...Ch. 1.2 - Write each number in scientific notation. U.S....Ch. 1.2 - Convert each number in scientific notation to...Ch. 1.2 - Perform the operations and write the answer in...Ch. 1.2 - An average human body contains around...Ch. 1.2 - Is 23 the same as 32 ? Explain.Ch. 1.2 - When can you add two exponents?Ch. 1.2 - What is the purpose of scientific notation?Ch. 1.2 - Explain what a negative exponent does.Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify each...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, write each expression...Ch. 1.2 - For the following exercises, write each expression...Ch. 1.2 - For the following exercises, write each expression...Ch. 1.2 - For the following exercises, write each expression...Ch. 1.2 - For the following exercises, write each expression...Ch. 1.2 - For the following exercises, write each expression...Ch. 1.2 - For the following exercises, express the decimal...Ch. 1.2 - For the following exercises, express the decimal...Ch. 1.2 - For the following exercises, convert each number...Ch. 1.2 - For the following exercises, convert each number...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - To reach escape velocity, a rocket must travel at...Ch. 1.2 - A dime is the thinnest coin in U.S. currency. A...Ch. 1.2 - The average distance between Earth and the Sun is...Ch. 1.2 - A terabyte is made of approximately...Ch. 1.2 - The Gross Domestic Product (GDP) for the United...Ch. 1.2 - One picometer is approximately 3.3971011in....Ch. 1.2 - The value of the services sector of the U.S....Ch. 1.2 - For the following exercises, use a graphing...Ch. 1.2 - For the following exercises, use a graphing...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.2 - For the following exercises, simplify the given...Ch. 1.3 - 225 b. 81 c. 259 d. 36+121Ch. 1.3 - Simplify 50x2y3z .Ch. 1.3 - Simplify 50x2x assuming x0 .Ch. 1.3 - Simplify 2x29y4 .Ch. 1.3 - Simplify 9a5b143a4b5 .Ch. 1.3 - Add 5+620 .Ch. 1.3 - Subtract: 380x445x .Ch. 1.3 - Write 1232 in simplest form.Ch. 1.3 - Write 72+3 in simplest form.Ch. 1.3 - Simplify. 2163 380454 69,0003+75763Ch. 1.3 - Write 952 as a radical. Simplify.Ch. 1.3 - Write x(5y)9 using a rational exponent.Ch. 1.3 - Simplify 8x13(14x65) .Ch. 1.3 - What does it mean when a radical does not have an...Ch. 1.3 - Where would radicals come in the order of...Ch. 1.3 - Every number will have two square root? What is...Ch. 1.3 - Can a radical with a negative radicand have a real...Ch. 1.3 - For the following exercises, simplify the given...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify the given...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - A guy wire for a suspension bridge runs from the...Ch. 1.3 - A car accelerates at a rate of 64tm/s2 where tis...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.4 - Identify the degree, leading term, and leading...Ch. 1.4 - Find the sum. (2x3+5x2x+1)+(2x23x4)Ch. 1.4 - Find the difference. (7x37x2+6x2)(4x36x2x+7)Ch. 1.4 - Find the product. (3x+2)(x34x2+7)Ch. 1.4 - Use FOIL to find the product. (x+7)(3x5)Ch. 1.4 - Expand (4x1)2.Ch. 1.4 - Multiply (2x+7)(2x7) .Ch. 1.4 - Multiply (3x1)(2x+7y9) .Ch. 1.4 - Evaluate the following statement: The degree of a...Ch. 1.4 - Many times, multiplying two binomials with two...Ch. 1.4 - You can multiply polynomials with any number of...Ch. 1.4 - State whether the following statement is true and...Ch. 1.4 - For the following exercises, identify the degree...Ch. 1.4 - For the following exercises, identify the degree...Ch. 1.4 - For the following exercises, identify the degree...Ch. 1.4 - For the following exercises, identify the degree...Ch. 1.4 - For the following exercises, identify the degree...Ch. 1.4 - For the following exercises, identify the degree...Ch. 1.4 - For the following exercises, find the sum or...Ch. 1.4 - For the following exercises, find the sum or...Ch. 1.4 - For the following exercises, find the sum or...Ch. 1.4 - For the following exercises, find the sum or...Ch. 1.4 - For the following exercises, find the sum or...Ch. 1.4 - 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For the following exercises, multiply the...Ch. 1.4 - A developer wants to purchase a plot of land to...Ch. 1.4 - A prospective buyer wants to know how much grain a...Ch. 1.4 - For the following exercises, perform the given...Ch. 1.4 - For the following exercises, perform the given...Ch. 1.4 - For the following exercises, perform the given...Ch. 1.5 - Factor x(b2a)+6(b2a) by pulling out the GCF.Ch. 1.5 - Factor x27x+6 .Ch. 1.5 - Factor. 2x2+9x+9 6x2+x1Ch. 1.5 - Factor 49x214x+1Ch. 1.5 - Factor 81y2100 .Ch. 1.5 - Factor the sum of cubes: 216a3+b3. .Ch. 1.5 - Factor the difference of cubes: 1,000x31 .Ch. 1.5 - Factor 2(5a1)34+7a(5a1)14 .Ch. 1.5 - If the terms of a polynomial do not have a GCF,...Ch. 1.5 - A polynomial is factorable, but it is not a...Ch. 1.5 - How do you factor by grouping?Ch. 1.5 - For the following exercises, find the greatest...Ch. 1.5 - For the following exercises, find the greatest...Ch. 1.5 - For the following exercises, find the greatest...Ch. 1.5 - For the following exercises, find the greatest...Ch. 1.5 - For the following exercises, find the greatest...Ch. 1.5 - For the following exercises, find the greatest...Ch. 1.5 - For the following exercises, factor by grouping....Ch. 1.5 - For the following exercises, factor by grouping....Ch. 1.5 - For the following exercises, factor by grouping....Ch. 1.5 - For the following exercises, factor by grouping....Ch. 1.5 - For the following exercises, factor by grouping....Ch. 1.5 - For the following exercises, factor by grouping....Ch. 1.5 - For the following exercises, factor the...Ch. 1.5 - For the following exercises, factor the...Ch. 1.5 - For the following exercises, factor the...Ch. 1.5 - For the following exercises, factor the...Ch. 1.5 - For the following exercises, factor the...Ch. 1.5 - For the following exercises, factor the...Ch. 1.5 - For the following exercises, factor the...Ch. 1.5 - For the following exercises, factor the...Ch. 1.5 - For the following exercises, factor the...Ch. 1.5 - For the following exercises, factor the...Ch. 1.5 - 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How do you use the LCD to combine two rational...Ch. 1.6 - Tell whether the following statement is true or...Ch. 1.6 - For the following exercises, simplify the rational...Ch. 1.6 - For the following exercises, simplify the rational...Ch. 1.6 - For the following exercises, simplify the rational...Ch. 1.6 - For the following exercises, simplify the rational...Ch. 1.6 - For the following exercises, simplify the rational...Ch. 1.6 - For the following exercises, simplify the rational...Ch. 1.6 - For the following exercises, simplify the rational...Ch. 1.6 - For the following exercises, simplify the rational...Ch. 1.6 - For the following exercises, simplify the rational...Ch. 1.6 - For the following exercises, simplify the rational...Ch. 1.6 - For the following exercises, multiply the rational...Ch. 1.6 - For the following exercises, multiply the rational...Ch. 1.6 - For the following exercises, multiply the rational...Ch. 1.6 - For the following exercises, multiply the rational...Ch. 1.6 - 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Fill in each blank so that the resulting statement is true. If n is a counting number, bn, read ______, indicat...
College Algebra (7th Edition)
Assessment 1-1A How many triangles are in the following figure?
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
CHECK POINT I Express as a percent.
Thinking Mathematically (6th Edition)
Integrals of sin x or cos x Evaluate the following integrals. 11. cos3xdx
Calculus: Early Transcendentals (2nd Edition)
The following set of data is from sample of n=5: a. Compute the mean, median, and mode. b. Compute the range, v...
Basic Business Statistics, Student Value Edition
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- M = log The formula determines the magnitude of an earthquake, where / is the intensity of the earthquake and S is the intensity of a "standard earthquake." How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.arrow_forwardNow consider equations of the form ×-a=v = √bx + c, where a, b, and c are all positive integers and b>1. (f) Create an equation of this form that has 7 as a solution and an extraneous solution. Give the extraneous solution. (g) What must be true about the value of bx + c to ensure that there is a real number solution to the equation? Explain.arrow_forwardThe equation ×+ 2 = √3x+10 is of the form ×+ a = √bx + c, where a, b, and c are all positive integers and b > 1. Using this equation as a model, create your own equation that has extraneous solutions. (d) Using trial and error with numbers for a, b, and c, create an equation of the form x + a = √bx + c, where a, b, and c are all positive integers and b>1 such that 7 is a solution and there is an extraneous solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (e) Solve the equation you created in Part 2a.arrow_forward
- A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. (a) Write an equation to represent this situation. (b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%?arrow_forwardA boat is 15 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 65° angle is formed between the closest point to the boat, the person, and the boat. How far is the person from the boat? Round your answer to the nearest tenth of a foot. Show your work. boat 15 ft d 65° personarrow_forward2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work. 8 15arrow_forward
- Use the equation x+2= √3x+10 to answer these questions. (a) What is the solution to the equation? (b) What is the extraneous solution? Why? (c) In general, what is an extraneous solution?arrow_forwardA utility pole is 35 ft tall. The pole creates a 50 ft shadow. What is the angle of elevation of the sun? Round your answer to the nearest degree. Show your work. nswer:arrow_forwardWrite the expression as a simplified rational expression. Show your work. 1 6 + 5 1 x + 1arrow_forward
- The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually. (a) Use the exponential growth model to write an equation that estimates the population t years after 2010. (a) Estimate the population of the town in 2022. Show your work.arrow_forwardSimplify the expression (x³ - 5x² + 7x - 12) ÷ (x − 4) using long division. Show your work.arrow_forwardx² + 3x - 28 Simplify the expression x² - 7x+12. Show nswer: your work.arrow_forward
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