
Pearson eText for College Algebra: Graphs and Models -- Instant Access (Pearson+)
6th Edition
ISBN: 9780136880264
Author: Marvin Bittinger, Judith Beecher
Publisher: PEARSON+
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Chapter 3.2, Problem 141E
To determine
To solve: The
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Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy?
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player.
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
how much is the cak worth to mary
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke?
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
Chapter 3 Solutions
Pearson eText for College Algebra: Graphs and Models -- Instant Access (Pearson+)
Ch. 3.1 - Express the number in terms of i. 1. 3Ch. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Express the number in terms of i. 5. 33Ch. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - Simplify. write answers in the form a + bi, where...Ch. 3.1 - Simplify. Write answers in the form a + bi, where...Ch. 3.1 - Prob. 53ECh. 3.1 - Prob. 54ECh. 3.1 - Prob. 55ECh. 3.1 - Prob. 56ECh. 3.1 - Prob. 57ECh. 3.1 - Prob. 58ECh. 3.1 - Prob. 59ECh. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Prob. 63ECh. 3.1 - Prob. 64ECh. 3.1 - Prob. 65ECh. 3.1 - Prob. 66ECh. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - Prob. 69ECh. 3.1 - Simplify. Write answers in the form a + bi, where...Ch. 3.1 - Prob. 71ECh. 3.1 - Prob. 72ECh. 3.1 - Simplify. Write answers in the form a + bi, where...Ch. 3.1 - Prob. 74ECh. 3.1 - Prob. 75ECh. 3.1 - Prob. 76ECh. 3.1 - Prob. 77ECh. 3.1 - Prob. 78ECh. 3.1 - Prob. 79ECh. 3.1 - Prob. 80ECh. 3.1 - Simplify. 81. i35Ch. 3.1 - Prob. 82ECh. 3.1 - Prob. 83ECh. 3.1 - Prob. 84ECh. 3.1 - Prob. 85ECh. 3.1 - Prob. 86ECh. 3.1 - Prob. 87ECh. 3.1 - Prob. 88ECh. 3.1 - Prob. 89ECh. 3.1 - Prob. 90ECh. 3.1 - Prob. 91ECh. 3.1 - Prob. 92ECh. 3.1 - Prob. 93ECh. 3.1 - Prob. 94ECh. 3.1 - Prob. 95ECh. 3.1 - Prob. 96ECh. 3.1 - Prob. 97ECh. 3.1 - Prob. 98ECh. 3.1 - Prob. 99ECh. 3.1 - Prob. 100ECh. 3.1 - Prob. 101ECh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Solve. 3. x2 8x 20 = 0Ch. 3.2 - Solve. 4. x2 + 6x + 8 = 0Ch. 3.2 - Solve. 5. 3x2 + x 2 = 0Ch. 3.2 - Solve. 6. 10x2 16x + 6 = 0Ch. 3.2 - Solve. 7. 4x2 12 = 0Ch. 3.2 - Solve. 8. 6x2 = 36Ch. 3.2 - Solve. 9. 3x2 = 21Ch. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Solve. 12. 4x2 + 12 = 0Ch. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Solve. 15. 2x2 = 6xCh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Solve. 18. 3t3 + 2t = 5t2Ch. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - In Exercises 2128, use the given graph to find (a)...Ch. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - In Exercises 2128, use the given graph to find (a)...Ch. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - In Exercises 2128, use the given graph to find (a)...Ch. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Solve by completing the square to obtain exact...Ch. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Solve by completing the square to obtain exact...Ch. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Solve by completing the square to obtain exact...Ch. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 55ECh. 3.2 - Prob. 56ECh. 3.2 - Prob. 57ECh. 3.2 - For each of the following, find the discriminant,...Ch. 3.2 - Prob. 59ECh. 3.2 - For each of the following, find the discriminant,...Ch. 3.2 - Prob. 61ECh. 3.2 - For each of the following, find the discriminant,...Ch. 3.2 - Prob. 63ECh. 3.2 - Solve graphically. Round solutions to three...Ch. 3.2 - Prob. 65ECh. 3.2 - Prob. 66ECh. 3.2 - Prob. 67ECh. 3.2 - Solve graphically. Round solutions to three...Ch. 3.2 - Prob. 69ECh. 3.2 - Solve graphically. Round solutions to three...Ch. 3.2 - Prob. 71ECh. 3.2 - Find the zeros of the function algebraically. Give...Ch. 3.2 - Prob. 73ECh. 3.2 - Prob. 74ECh. 3.2 - Find the zeros of the function algebraically. Give...Ch. 3.2 - Prob. 76ECh. 3.2 - Prob. 77ECh. 3.2 - Find the zeros of the function algebraically. Give...Ch. 3.2 - Prob. 79ECh. 3.2 - Prob. 80ECh. 3.2 - Prob. 81ECh. 3.2 - Prob. 82ECh. 3.2 - Find the zeros of the function algebraically. Give...Ch. 3.2 - Prob. 84ECh. 3.2 - Prob. 85ECh. 3.2 - Prob. 86ECh. 3.2 - Prob. 87ECh. 3.2 - Prob. 88ECh. 3.2 - Prob. 89ECh. 3.2 - Prob. 90ECh. 3.2 - Solve. x4 3x2 + 2 = 0Ch. 3.2 - Prob. 92ECh. 3.2 - Prob. 93ECh. 3.2 - Prob. 94ECh. 3.2 - Prob. 95ECh. 3.2 - Prob. 96ECh. 3.2 - Prob. 97ECh. 3.2 - Prob. 98ECh. 3.2 - Prob. 99ECh. 3.2 - Prob. 100ECh. 3.2 - Prob. 101ECh. 3.2 - Prob. 102ECh. 3.2 - Prob. 103ECh. 3.2 - Prob. 104ECh. 3.2 - Prob. 105ECh. 3.2 - Prob. 106ECh. 3.2 - Multigenerational Households. After declining...Ch. 3.2 - Prob. 108ECh. 3.2 - Prob. 109ECh. 3.2 - Prob. 110ECh. 3.2 - Prob. 111ECh. 3.2 - Prob. 112ECh. 3.2 - Prob. 113ECh. 3.2 - Prob. 114ECh. 3.2 - Prob. 115ECh. 3.2 - Prob. 116ECh. 3.2 - Prob. 117ECh. 3.2 - Prob. 118ECh. 3.2 - Prob. 119ECh. 3.2 - Prob. 120ECh. 3.2 - Prob. 121ECh. 3.2 - Prob. 122ECh. 3.2 - Prob. 123ECh. 3.2 - Prob. 124ECh. 3.2 - Prob. 125ECh. 3.2 - Prob. 126ECh. 3.2 - Prob. 127ECh. 3.2 - Prob. 128ECh. 3.2 - Prob. 129ECh. 3.2 - Prob. 130ECh. 3.2 - Prob. 131ECh. 3.2 - Prob. 132ECh. 3.2 - Prob. 133ECh. 3.2 - Prob. 134ECh. 3.2 - Prob. 135ECh. 3.2 - Prob. 136ECh. 3.2 - Prob. 137ECh. 3.2 - Prob. 138ECh. 3.2 - Prob. 139ECh. 3.2 - Prob. 140ECh. 3.2 - Prob. 141ECh. 3.2 - Prob. 142ECh. 3.2 - Prob. 143ECh. 3.2 - Prob. 144ECh. 3.2 - Prob. 145ECh. 3.2 - Prob. 146ECh. 3.2 - Prob. 147ECh. 3.2 - Prob. 148ECh. 3.3 - In Exercises 1 and 2, use the given graph to find...Ch. 3.3 - Prob. 2ECh. 3.3 - In Exercises 316: a) Find the vertex. b) Find the...Ch. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - In Exercises 316: a) Find the vertex. b) Find the...Ch. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - In Exercises 316: a) Find the vertex. b) Find the...Ch. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - In Exercises 316: a) Find the vertex. b) Find the...Ch. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - In Exercises 316: a) Find the vertex. b) Find the...Ch. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - In Exercises 1724, match the equation with one of...Ch. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - In Exercises 3140: a) Find the vertex. b)...Ch. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - In Exercises 3140: a) Find the vertex. b)...Ch. 3.3 - Prob. 37ECh. 3.3 - In Exercises 3140: a) Find the vertex. b)...Ch. 3.3 - In Exercises 3140: a) Find the vertex. b)...Ch. 3.3 - In Exercises 3140: a) Find the vertex. b)...Ch. 3.3 - Height of a Ball. A ball is thrown directly upward...Ch. 3.3 - Height of a Projectile. A stone is thrown directly...Ch. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Maximizing Volume. Mendoza Manufacturing plans to...Ch. 3.3 - Prob. 46ECh. 3.3 - Maximizing Area. The sum of the base and the...Ch. 3.3 - Prob. 48ECh. 3.3 - Minimizing Cost. Designs for #1 Canines has...Ch. 3.3 - Prob. 50ECh. 3.3 - Maximizing Profit. In business, profit is the...Ch. 3.3 - Prob. 52ECh. 3.3 - Maximizing Area. A berry farmer needs to separate...Ch. 3.3 - Prob. 54ECh. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Prob. 61ECh. 3.3 - Prob. 62ECh. 3.3 - Graph: f(x) = (|x| 5)2 3.Ch. 3.3 - Find a quadratic function with vertex (4, 5) and...Ch. 3.3 - Prob. 65ECh. 3.4 - Solve. 1. 14+15=1tCh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Solve. 5. 12+2x=13+3xCh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Solve. 8. 2x1=3x+2Ch. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Solve. 11. x+6x=5Ch. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Solve. 14. 3m+2+2m=4m4m24Ch. 3.4 - Prob. 15ECh. 3.4 - Solve. 16. 2xx+7=5x+1Ch. 3.4 - Solve. 17. 2x+5+1x5=16x225Ch. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Solve. 20. 3y+5y2+5y+y+4y+5=y+1yCh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Solve. 23. 25x+53x21=4x1Ch. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.4 - Prob. 57ECh. 3.4 - Prob. 58ECh. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - Prob. 69ECh. 3.4 - Prob. 70ECh. 3.4 - Prob. 71ECh. 3.4 - Solve. 72. 4p+5+p+5=3Ch. 3.4 - Prob. 73ECh. 3.4 - Prob. 74ECh. 3.4 - Prob. 75ECh. 3.4 - Prob. 76ECh. 3.4 - Prob. 77ECh. 3.4 - Prob. 78ECh. 3.4 - Prob. 79ECh. 3.4 - Prob. 80ECh. 3.4 - Prob. 81ECh. 3.4 - Prob. 82ECh. 3.4 - Prob. 83ECh. 3.4 - Prob. 84ECh. 3.4 - Prob. 85ECh. 3.4 - Prob. 86ECh. 3.4 - Prob. 87ECh. 3.4 - Prob. 88ECh. 3.4 - Prob. 89ECh. 3.4 - Prob. 90ECh. 3.4 - Prob. 91ECh. 3.4 - Prob. 92ECh. 3.4 - Prob. 93ECh. 3.4 - Solve. [1.5] 94. Student Loan Debt. In 2014, the...Ch. 3.4 - Prob. 95ECh. 3.4 - Prob. 96ECh. 3.4 - Prob. 97ECh. 3.4 - Prob. 98ECh. 3.4 - Prob. 99ECh. 3.5 - Solve. 1. |x| = 7Ch. 3.5 - Prob. 2ECh. 3.5 - Solve. 3. |x| = 0Ch. 3.5 - Prob. 4ECh. 3.5 - Prob. 5ECh. 3.5 - Solve. 6. |x|=35Ch. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.5 - Solve. 9. |3x| = 1Ch. 3.5 - Prob. 10ECh. 3.5 - Prob. 11ECh. 3.5 - Solve. 4. |6x| = 0Ch. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Solve. 15. |x + 2| = 6Ch. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Solve. 18. |7x 4| = 8Ch. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Solve. 21. |x 1| + 3 = 6Ch. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Solve. 24. |x 4| + 3 = 9Ch. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Solve. 27. |4x 3| + 1 = 7Ch. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Solve. 30. 9 |x 2| = 7Ch. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 40ECh. 3.5 - Prob. 41ECh. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 46ECh. 3.5 - Prob. 47ECh. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 49ECh. 3.5 - Prob. 50ECh. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 52ECh. 3.5 - Prob. 53ECh. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 55ECh. 3.5 - Prob. 56ECh. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 58ECh. 3.5 - Prob. 59ECh. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 61ECh. 3.5 - Prob. 62ECh. 3.5 - Prob. 63ECh. 3.5 - Prob. 64ECh. 3.5 - Prob. 65ECh. 3.5 - Prob. 66ECh. 3.5 - Prob. 67ECh. 3.5 - Prob. 68ECh. 3.5 - Prob. 69ECh. 3.5 - In each of Exercises 6572, fill in the blank with...Ch. 3.5 - Prob. 71ECh. 3.5 - Prob. 72ECh. 3.5 - Prob. 73ECh. 3.5 - Prob. 74ECh. 3.5 - Prob. 75ECh. 3.5 - Prob. 76ECh. 3.5 - Prob. 77ECh. 3 - Determine whether the statement is true or false....Ch. 3 - Prob. 2MCCh. 3 - Prob. 3MCCh. 3 - Prob. 4MCCh. 3 - Express the number in terms of i. [3.1] 36Ch. 3 - Express the number in terms of i. [3.1] 5Ch. 3 - Express the number in terms of i. [3.1] 16Ch. 3 - Express the number in terms of i. [3.1] 32Ch. 3 - Simplify. Write answers in the form a + bi, where...Ch. 3 - Simplify. Write answers in the form a + bi, where...Ch. 3 - Prob. 11MCCh. 3 - Simplify. Write answers in the form a + bi, where...Ch. 3 - Simplify. [3.1] i13Ch. 3 - Simplify. [3.1] i44Ch. 3 - Simplify. [3.1] (i)5Ch. 3 - Simplify. [3.1] (2i)6Ch. 3 - Solve. [3.2| x2 + 3x 4Ch. 3 - Solve. [3.2| 2x2 + 6 = 7xCh. 3 - Solve. [3.2] 4x2 = 24Ch. 3 - Solve. [3.2] x2 + 100Ch. 3 - Find the zeros of f(x) = 4x2 8x 3 by completing...Ch. 3 - In Exercises 2224: a) Find the discriminant b2 ...Ch. 3 - In Exercises 2224: a) Find the discriminant b2 ...Ch. 3 - In Exercises 2224: a) Find the discriminant b2 ...Ch. 3 - Solve. [3.2] x4 + 5x2 6 = 0Ch. 3 - Solve. [3.2] 2x5x+2=0Ch. 3 - Prob. 27MCCh. 3 - Prob. 28MCCh. 3 - Prob. 29MCCh. 3 - Prob. 30MCCh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Prob. 46RECh. 3 - Prob. 47RECh. 3 - Prob. 48RECh. 3 - Prob. 49RECh. 3 - Prob. 50RECh. 3 - Sidewalk Width. A 60-ft by 80-ft parking lot is...Ch. 3 - Prob. 52RECh. 3 - Prob. 53RECh. 3 - Prob. 54RECh. 3 - Prob. 55RECh. 3 - Prob. 56RECh. 3 - Prob. 57RECh. 3 - Prob. 58RECh. 3 - Prob. 59RECh. 3 - Prob. 60RECh. 3 - Prob. 61RECh. 3 - Prob. 62RECh. 3 - Prob. 63RECh. 3 - Prob. 1TCh. 3 - Prob. 2TCh. 3 - Prob. 3TCh. 3 - Prob. 4TCh. 3 - Prob. 5TCh. 3 - Prob. 6TCh. 3 - Prob. 7TCh. 3 - Prob. 8TCh. 3 - Prob. 9TCh. 3 - Prob. 10TCh. 3 - Prob. 11TCh. 3 - Prob. 12TCh. 3 - Prob. 13TCh. 3 - Prob. 14TCh. 3 - Prob. 15TCh. 3 - Prob. 16TCh. 3 - Prob. 17TCh. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - The tallest structure in the United States, at...Ch. 3 - Prob. 21TCh. 3 - Prob. 22TCh. 3 - Prob. 23TCh. 3 - Prob. 24TCh. 3 - Prob. 25TCh. 3 - Prob. 26TCh. 3 - Prob. 27TCh. 3 - Prob. 28TCh. 3 - Prob. 29TCh. 3 - Prob. 30TCh. 3 - Prob. 31TCh. 3 - Prob. 32T
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- 2. A microwave manufacturing firm has determined that their profit function is P(x)=-0.0014x+0.3x²+6x-355 , where is the number of microwaves sold annually. a. Graph the profit function using a calculator. b. Determine a reasonable viewing window for the function. c. Approximate all of the zeros of the function using the CALC menu of your calculator. d. What must be the range of microwaves sold in order for the firm to profit?arrow_forwardA clothing manufacturer's profitability can be modeled by p (x)=-x4 + 40x² - 144, where .x is the number of items sold in thousands and p (x) is the company's profit in thousands of dollars. a. Sketch the function on your calculator and describe the end behavior. b. Determine the zeros of the function. c. Between what two values should the company sell in order to be profitable? d. Explain why only two of the zeros are considered in part c.arrow_forwardCCSS REASONING The number of subscribers using pagers in the United States can be modeled by f(x) = 0.015x4 -0.44x³ +3.46x² - 2.7x+9.68 where x is the number of years after 1990 and f(x) is the number of subscribers in millions. a. Graph the function. b. Describe the end behavior of the graph. c. What does the end behavior suggest about the number of pager subscribers? d. Will this trend continue indefinitely? Explain your reasoning.arrow_forward
- Can you help me solve this?arrow_forwardName Assume there is the following simplified grade book: Homework Labs | Final Exam | Project Avery 95 98 90 100 Blake 90 96 Carlos 83 79 Dax 55 30 228 92 95 79 90 65 60 Assume that the weights used to compute the final grades are homework 0.3, labs 0.2, the final 0.35, and the project 0.15. | Write an explicit formula to compute Avery's final grade using a single inner product. Write an explicit formula to compute everyone's final grade simultane- ously using a single matrix-vector product.arrow_forward1. Explicitly compute by hand (with work shown) the following Frobenius inner products 00 4.56 3.12 (a) ((º º º). (156 (b) 10.9 -1 0 2)), Fro 5')) Froarrow_forward
- 3. Let 4 0 0 00 0 0 1.2 0 00 0 0 0 -10.1 0 0 0 D = 0 0 0 00 0 0 0 0 05 0 0 0 0 0 0 2.8 Either explicitly compute D-¹ or explain why it doesn't exist.arrow_forward4. [9 points] Assume that B, C, E are all 3 x 3 matrices such that BC == -64 -1 0 3 4 4 4 -2 2 CB=-1-2 4 BE -2 1 3 EC = 1 3 2 -7, 1 6 -6 2-5 -7 -2 Explicitly compute the following by hand. (I.e., write out the entries of the 3 × 3 matrix.) (a) [3 points] B(E+C) (b) [3 points] (E+B)C (c) [3 points] ETBTarrow_forward6. Consider the matrices G = 0 (3) -3\ -3 2 and H = -1 2 0 5 0 5 5 noting that H(:, 3) = 2H(:,1) + H(:, 2). Is G invertible? Explain your answer. Is H invertible? Explain your answer. Use co-factor expansion to find the determinant of H. (Hint: expand the 2nd or 3rd row)arrow_forward
- For the matrix A = = ( 6 }) . explicitly compute by hand (with work shown) the following. I2A, where I2 is the 2 × 2 identity matrix. A-1 solving the following linear systems by using A-¹: c+y= 1 y = 1 (d) (e) (f) A² find the diagonal entries of Aarrow_forwardIf 3x−y=12, what is the value of 8x / 2y A) 212B) 44C) 82D) The value cannot be determined from the information given.arrow_forwardC=59(F−32) The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true? A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit. A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. A) I onlyB) II onlyC) III onlyD) I and II onlyarrow_forward
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