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 9E
To determine
To solve: The
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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:
What are the solutions to the quadratic equation x2 – 16 = 0?
x = 2 and x = –2
x = 4 and x = –4
x = 8 and x = –8
x = 16 and x = –16
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
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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- QUESTION 3 Use the Quadratic formula to find TWO solutions to 2x?+4x – 11=0. Select them from the choices below. OA. -4-V104 4 B. -2+/180 8 OC. 3+/29 4 O D. -2-V180 8 O E. 3-/29 4 OF. -4+V104 4arrow_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_forwardQUESTION 3 Solve for a. 5a - (2a – 10) = 25 Do not put a= into the answer box.arrow_forward
- Using 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_forwardWhich of the following quadratic equations has the sum of product of the roots to be 4 and 7, respectively? A x2- 4x+7=0 x²– 2x + 8=0 x²– 5x + 10=0 x2– 10x + 15=0 B.arrow_forward1. Find the quadratic equation whose roots are a + and B + where a and B are roots of the quadratic equation 2x2 + 7x – 3 = 0.arrow_forward
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