Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134668574
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Chapter A.7, Problem 10E
Find only real solutions in the problems below. If there are no real solutions, say so.
Solve Problems 9–12 by using the
10.
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4. Given the quadratic equation y = 2x2 – 2x + 3, complete the following: a. Complete the table for the given values of x: x -5 -4 -3 -2 -1 0 1 2 3 4 5 y b. Use the quadratic formula to solve for x. Show work. c. Factor 2x2 – 2x + 3, show work. d. Set each factor from part c equal to zero and solve for x. Show work. e. State the vertex: f. State the y-intercept as an ordered pair. g. Summarize your findings:
ACTIVITY 4
A. Solve the following equations by completing the square.
1. x + 10x – 25 = 0
2. x - 8x + 2 = 0
3. 2x + 12x = 18
B. Find the solutions of each quadratic equations using the quadratic formula.
1. x + 7x = 4
2. x + 5x - 14 = 0
Find the value of the real number a if -1 – 2i is a root of the equation z² + az +5 =0. What is the other root of this equation?
Chapter A.7 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. A.7 - Use the square-root property to solve each...Ch. A.7 - Solve by factoring using integer coefficients, if...Ch. A.7 - Solve 2x24x3=0 using the quadratic formula.Ch. A.7 - Factor, if possible, using integer coefficients....Ch. A.7 - Find all real solutions to 6x5+192=0.Ch. A.7 - Repeat Example 6 if near the end of summer, the...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...
Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 7ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 9ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 17ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 26ECh. A.7 - Prob. 27ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 29ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Solve x2 + 3mx 3n = 0 for x in terms of m and n.Ch. A.7 - Consider the quadratic equation x2+4x+c=0 where c...Ch. A.7 - Consider the quadratic equation x2+2x+c=0 where c...Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - Supply and demand. A company wholesales shampoo in...Ch. A.7 - Supply and demand. An importer sells an automatic...Ch. A.7 - Interest rate. If P dollars are invested at 100r...Ch. A.7 - Interest rate. Using the formula in Problem 51,...Ch. A.7 - Ecology. To measure the velocity v (in feet per...Ch. A.7 - Safety research. It is of considerable importance...
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- . The solutions to the quadratic equation x2 – 11x + 22 = 0 are x = and x = 6. What is the base of the numbers? 3arrow_forwardshow all the steps in the solution for the problemarrow_forwardIn the quadratic equation Ax2+ Bx + C=0• describe the roots when B² – 4AC is positive. O The roots are real and distinct. The roots are complex conjugates. O The roots are real and equal. O The roots are complex and equal.arrow_forward
- 7. Solve the following equations using the quadratic formula. (Hint: Rewrite each equation so that one side of the equation is zero.) a. 6r2 - 7t = 5 e. 6s2 – 10 = -17s f. 2t2 = 3t +9 b. 3x(3x - 4) = -4 | c. (z + 1)(3z -2) 3 2z + 7 g. 5 (4x + 1)(x – 3) d. (x + 2)(x + 4) = 1 h. (2x - 3)2 = 7 %3D |arrow_forwardUsing the quadratic formula, Henry found that the x intercepts of x2 – 6x + 3 = 0 are x = 3 ± V3. Using completing the square, he found the x intercepts to be x = 3 ± V6. Which one is correct, if either? Justify your answer.arrow_forwardA builder wants to build the bridge whose cross section is shown in the diagram. Complete problems 1–2. 1. An equation to find the distance b, in feet, between each beam is 99. (Simplify your answer.)arrow_forward
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