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CalculusApplied Calculus for the Managerial, Life, and Social Sciences: A Brief ApproachIn Exercises 83−87, determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. 87. If L is the line with equation Ax + By + C = 0, where A ≠ 0, then L crosses the x -axis at the point ( −C/A , 0).BuyFind*arrow_forward*

10th Edition

Soo T. Tan

Publisher: Brooks Cole

ISBN: 9781285464640

Chapter 1.4, Problem 87E

Textbook Problem

In Exercises 83−87, determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

**87.** If *L* is the line with equation *Ax* + *By* + *C* = 0, where *A* ≠ 0, then *L* crosses the *x*-axis at the point (*−C/A*, 0).

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

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Ch. 1.1 - (3, 6)Ch. 1.1 - (2, 5]Ch. 1.1 - [1, 4)Ch. 1.1 - [65,-12]Ch. 1.1 - In Exercises 1-6, show the interval on a number...Ch. 1.1 - In Exercises 1-6, show the interval on a number...Ch. 1.1 - 272/3Ch. 1.1 - 84/3Ch. 1.1 - (13)0Ch. 1.1 - (71/2)4

Ch. 1.1 - [(18)1/3]2Ch. 1.1 - [(13)2]3Ch. 1.1 - (757272)1Ch. 1.1 - (916)1/2Ch. 1.1 - (1252/3)1/2Ch. 1.1 - 263Ch. 1.1 - 328Ch. 1.1 - 8273Ch. 1.1 - 165/8161/2167/8Ch. 1.1 - (939592)1/2Ch. 1.1 - In Exercises 722, evaluate the expression. 21....Ch. 1.1 - In Exercises 7-22, evaluate the expression. 22....Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 33-38, rewrite the expression using...Ch. 1.1 - In Exercises 33-38, rewrite the expression using...Ch. 1.1 - In Exercises 33-38, rewrite the expression using...Ch. 1.1 - 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In Exercises 4562, find the values of x that...Ch. 1.2 - In Exercises 45–62, find the values of x that...Ch. 1.2 - In Exercises 4562, find the values of x that...Ch. 1.2 - In Exercises 4562, find the values of x that...Ch. 1.2 - In Exercises 6372, evaluate the expression. 63. |6...Ch. 1.2 - In Exercises 6372, evaluate the expression. 64. 4...Ch. 1.2 - In Exercises 6372, evaluate the expression. 65....Ch. 1.2 - In Exercises 6372, evaluate the expression. 66....Ch. 1.2 - In Exercises 6372, evaluate the expression. 67....Ch. 1.2 - In Exercises 6372, evaluate the expression. 68....Ch. 1.2 - In Exercises 6372, evaluate the expression. 69. | ...Ch. 1.2 - In Exercises 6372, evaluate the expression. 70. | ...Ch. 1.2 - In Exercises 6372, evaluate the expression. 71....Ch. 1.2 - In Exercises 6372, evaluate the expression. 72....Ch. 1.2 - In Exercises 73-78, suppose that a and b are real...Ch. 1.2 - In Exercises 73-78, suppose that a and b are real...Ch. 1.2 - In Exercises 73-78, suppose that a and b are real...Ch. 1.2 - In Exercises 73-78, suppose that a and b are real...Ch. 1.2 - In Exercises 73-78, suppose that a and b are real...Ch. 1.2 - In Exercises 73-78, suppose that a and b are real...Ch. 1.2 - In Exercises 79-84,determine whether the statement...Ch. 1.2 - In Exercises 79-84,determine whether the statement...Ch. 1.2 - In Exercises 79-84, determine whether the...Ch. 1.2 - In Exercises 79-84, determine whether the...Ch. 1.2 - In Exercises 7984, determine whether the statement...Ch. 1.2 - In Exercises 79-84, determine whether the...Ch. 1.2 - Driving Range of a Car An advertisement for a...Ch. 1.2 - Find the minimum cost C (in dollars), given that...Ch. 1.2 - Find the maximum profit P (in dollars) given that...Ch. 1.2 - Celsius and Fahrenheit Temperatures The...Ch. 1.2 - Meeting Sales Targets A salesmans monthly...Ch. 1.2 - Markup on a Car The markup on a used car was at...Ch. 1.2 - Quality Control PAR Manufacturing manufactures...Ch. 1.2 - Quality Control The diameter x (in inches) of a...Ch. 1.2 - Meeting Profit Goals A manufacturer of a certain...Ch. 1.2 - Concentration of a Drug in the Bloodstream The...Ch. 1.2 - Cost of Removing Toxic Pollutants A citys main...Ch. 1.2 - Average Speed of a Vehicle The average speed of a...Ch. 1.2 - Air Pollution Nitrogen dioxide is a brown gas that...Ch. 1.2 - In Exercises 98-102, determine whether the...Ch. 1.2 - In Exercises 98102, determine whether the...Ch. 1.2 - In Exercises 98-102, determine whether the...Ch. 1.2 - In Exercises 98-102, determine whether the...Ch. 1.2 - In Exercises 98-102, determine whether the...Ch. 1.3 - What can you say about the signs of a and b if the...Ch. 1.3 - Refer to the following figure. a. 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A furniture...Ch. 1.3 - Optimizing Travel Time Towns A, B, C, and D are...Ch. 1.3 - Minimizing Shipping Costs for a Fleet of Autos...Ch. 1.3 - Cost of Laying Cable In the following diagram, S...Ch. 1.3 - Purchasing an HDTV Antenna Ivan wishes to...Ch. 1.3 - Distance Between Two Cruise Ships Two cruise ships...Ch. 1.3 - Distance Between Two Cargo Ships Ship A leaves...Ch. 1.3 - Watching a Rocket Launch At a distance of 4000 ft...Ch. 1.3 - a. Show that the midpoint of the line segment...Ch. 1.3 - A Scavenger Hunt A tree is located 20 yd to the...Ch. 1.3 - In Exercises 47-50, determine whether the...Ch. 1.3 - In Exercises 47-50, determine whether the...Ch. 1.3 - In Exercises 47-50, determine whether the...Ch. 1.3 - The circle with equation kx2 + ky2 = a2 lies...Ch. 1.3 - Let (x1, y1) and (x2, y2) be two points lying in...Ch. 1.3 - Show that an equation of a circle can be written...Ch. 1.4 - What is the slope of a nonvertical line? What can...Ch. 1.4 - Give (a) the point-slope form, (b) the...Ch. 1.4 - Let L1 have slope m1 and L2 have slope m2. State...Ch. 1.4 - Suppose a line L has equation Ax + By + C = 0. a....Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 1-6, match the statement with one of...Ch. 1.4 - In Exercises 7-10, find the slope of the line...Ch. 1.4 - In Exercises 7-10, find the slope of the line...Ch. 1.4 - In Exercises 7-10, find the slope of the line...Ch. 1.4 - In Exercises 7-10, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - Given the equation y = 4x 3, answer the following...Ch. 1.4 - Given the equation 2x + 3y = 4, answer the...Ch. 1.4 - In Exercises 19 and 20, determine whether the...Ch. 1.4 - In Exercises 19 and 20, determine whether the...Ch. 1.4 - In Exercises 21 and 22, determine whether the...Ch. 1.4 - In Exercises 21 and 22, determine whether the...Ch. 1.4 - If the line passing through the points (1, a) and...Ch. 1.4 - If the line passing through the points (a, 1) and...Ch. 1.4 - Find an equation of the horizontal line that...Ch. 1.4 - Find an equation of the vertical line that passes...Ch. 1.4 - In Exercises 27-30, find an equation of the line...Ch. 1.4 - In Exercises 27-30, find an equation of the line...Ch. 1.4 - In Exercises 27-30, find an equation of the line...Ch. 1.4 - In Exercises 27-30, find an equation of the line...Ch. 1.4 - In Exercises 31-34, find an equation of the line...Ch. 1.4 - In Exercises 31-34, find an equation of the line...Ch. 1.4 - In Exercises 31-34, find an equation of the line...Ch. 1.4 - In Exercises 31-34, find an equation of the line...Ch. 1.4 - In Exercises 35-38, find an equation of the line...Ch. 1.4 - In Exercises 35-38, find an equation of the line...Ch. 1.4 - In Exercises 35-38, find an equation of the line...Ch. 1.4 - In Exercises 35-38, find an equation of the line...Ch. 1.4 - In Exercises 39-44, write the equation in the...Ch. 1.4 - In Exercises 39-44, write the equation in the...Ch. 1.4 - In Exercises 39-44, write the equation in the...Ch. 1.4 - In Exercises 39-44, write the equation in the...Ch. 1.4 - In Exercises 39-44, write the equation in the...Ch. 1.4 - In Exercises 39-44, write the equation in the...Ch. 1.4 - Find an equation of the line that passes through...Ch. 1.4 - Find an equation of the line that passes through...Ch. 1.4 - Find an equation of the line that has slope 2 and...Ch. 1.4 - Find an equation of the line that passes through...Ch. 1.4 - In Exercises 4954, find an equation of the line...Ch. 1.4 - In Exercises 4954, find an equation of the line...Ch. 1.4 - In Exercises 4954, find an equation of the line...Ch. 1.4 - In Exercises 4954, find an equation of the line...Ch. 1.4 - In Exercises 4954, find an equation of the line...Ch. 1.4 - In Exercises 4954, find an equation of the line...Ch. 1.4 - Given that the point P(3, 5) lies on the line kx +...Ch. 1.4 - Given that the point P(2, 3) lies on the line 2x +...Ch. 1.4 - In Exercises 5762, sketch the straight line...Ch. 1.4 - In Exercises 5762, sketch the straight line...Ch. 1.4 - In Exercises 5762, sketch the straight line...Ch. 1.4 - In Exercises 5762, sketch the straight line...Ch. 1.4 - In Exercises 5762, sketch the straight line...Ch. 1.4 - In Exercises 5762, sketch the straight line...Ch. 1.4 - Show that an equation of a line through the points...Ch. 1.4 - In Exercises 6467, use the results of Exercise 63...Ch. 1.4 - In Exercises 6467, use the results of Exercise 63...Ch. 1.4 - In Exercises 6467, use the results of Exercise 63...Ch. 1.4 - In Exercises 6467, use the results of Exercise 63...Ch. 1.4 - In Exercises 68 and 69, determine whether the...Ch. 1.4 - In Exercises 68 and 69, determine whether the...Ch. 1.4 - John claims that the following points lie on a...Ch. 1.4 - Alison claims that the following points lie on a...Ch. 1.4 - TEMPERATURE Conversion The relationship between...Ch. 1.4 - NUCLEAR Plant UTILIZATION The United States is not...Ch. 1.4 - SOCIAL SECURITY CONTRIBUTIONS For wages less than...Ch. 1.4 - COLLEGE ADMISSIONS Using data compiled by the...Ch. 1.4 - WEIGHT of Whales The equation W = 3.51L 192,...Ch. 1.4 - THE NARROWING Gender Gap Since the founding of the...Ch. 1.4 - DECLINING NUMBER of pay PHONES As cell phones...Ch. 1.4 - SPENDING on Equipment and Software As the United...Ch. 1.4 - SALES Growth Metro Department Stores annual sales...Ch. 1.4 - Corporate Fraud The number of corporate fraud...Ch. 1.4 - Social Media A Nielsen survey of 3000 American...Ch. 1.4 - In Exercises 8387, determine whether the statement...Ch. 1.4 - In Exercises 8387, determine whether the statement...Ch. 1.4 - In Exercises 8387, determine whether the statement...Ch. 1.4 - In Exercises 8387, determine whether the statement...Ch. 1.4 - In Exercises 8387, determine whether the statement...Ch. 1.4 - Is there a difference between the statements The...Ch. 1.4 - Show that two distinct lines with equations a1x +...Ch. 1.4 - Prove that if a line L1 with slope m1 is...Ch. 1 - Fill in the blanks. 1. A point in the plane can be...Ch. 1 - Fill in the blanks. 2. a. The point P(a, 0) lies...Ch. 1 - Fill in the blanks. 3.The distance between two...Ch. 1 - Fill in the blanks. 4. An equation of the circle...Ch. 1 - Fill in the blanks. 5. a. If P1(x1, y1) and P2(x2,...Ch. 1 - Fill in the blanks. 6. If L1 and L2 are...Ch. 1 - Fill in the blanks. 7. a. An equation of the line...Ch. 1 - Fill in the blanks. 8. a. The general form of an...Ch. 1 - In Exercises 14, find the values of x that satisfy...Ch. 1 - In Exercises 14, find the values of x that satisfy...Ch. 1 - In Exercises 14. find the values of x that satisfy...Ch. 1 - In Exercises 14, find the values of x that satisfy...Ch. 1 - In Exercises 58. evaluate the expression. 5. |5 +...Ch. 1 - In Exercises 58, evaluate the expression. 6....Ch. 1 - In Exercises 58, evaluate the expression. 7. |2 ...Ch. 1 - In Exercises 58, evaluate the expression. 8....Ch. 1 - In Exercises 914, evaluate the expression. 9....Ch. 1 - In Exercises 914, evaluate the expression. 10....Ch. 1 - In Exercises 914, evaluate the expression. 11. (3 ...Ch. 1 - In Exercises 914, evaluate the expression. 12....Ch. 1 - In Exercises 914, evaluate the expression. 13....Ch. 1 - In Exercises 914, evaluate the expression. 14....Ch. 1 - In Exercises 1520, simplify the expression. 15....Ch. 1 - In Exercises 1520, simplify the expression. 16....Ch. 1 - In Exercises 1520, simplify the expression. 17....Ch. 1 - In Exercises 1520, simplify the expression. 18....Ch. 1 - In Exercises 1520, simplify the expression. 19....Ch. 1 - In Exercises 1520, simplify the expression. 20....Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2124, factor each expression...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2528. solve the equation by...Ch. 1 - In Exercises 2932, find the value(s) of x that...Ch. 1 - In Exercises 2932, find the value(s) of x that...Ch. 1 - |2x 3| 5Ch. 1 - x+1x1=5Ch. 1 - x2 2x 5 = 0Ch. 1 - 2x2 + 8x + 7 = 0Ch. 1 - (t+6)(60)(60t+180)(t+6)2Ch. 1 - 6x2(3x2+2)+14(x+2)Ch. 1 - 23(4x2x21)+3(33x1)Ch. 1 - 2xx+1+4x+1Ch. 1 - Rationalize the numerator: x1x1.Ch. 1 - Rationalize the denominator: x12x.Ch. 1 - In Exercises 4143, find the distance between the...Ch. 1 - In Exercises 4143, find the distance between the...Ch. 1 - In Exercises 4143, find the distance between the...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - In Exercises 4449, find an equation of the line L...Ch. 1 - Find an equation of the straight line that passes...Ch. 1 - Find an equation of the straight line that passes...Ch. 1 - Find an equation of the line that passes through...Ch. 1 - Find an equation of the line that passes through...Ch. 1 - Does the point P (1, 54) lie on the line 6x 8y ...Ch. 1 - Given that the point P(2, 4) lies on the line 2x +...Ch. 1 - Sketch the graph of the equation 3x 4y =24.Ch. 1 - Sketch the graph of the line that passes through...Ch. 1 - Find the minimum cost C (in dollars) given that...Ch. 1 - Find the maximum revenue R (in dollars) given that...Ch. 1 - A FALLING Stone A stone is thrown straight up from...Ch. 1 - Year 2009 2010 2011 Sales, y 887 1028 1251...Ch. 1 - Sales or Navigation Systems The estimated number...Ch. 1 - Evaluate: a. 2332 b. [(13)3]1/3Ch. 1 - Simplify: a. 64x639y2x6;x0 b. (a3b4)2(ba)3Ch. 1 - Rationalize the denominator: a. 2x3y b. xx4Ch. 1 - Perform each operation and simplify: a....Ch. 1 - Rationalize the numerator: x+yxyCh. 1 - Factor completely: a. 12x3 10x2 12x b. 2bx 2by +...Ch. 1 - Solve each equation: a. 12x2 9x 3 = 0 b. 3x2 5x...Ch. 1 - Find the distance between (2, 4) and (6, 8).Ch. 1 - Find an equation of the line that passes through...Ch. 1 - Find an equation of the line that has slope 13 and...

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