Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term
Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term
12th Edition
ISBN: 9781337890199
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter 10.3, Problem 35E

Factor each trinomial completely:

c 2 + 3 c 18

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a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in standard inequality form (with 3 variables and 4 constraints) and suppose that we have reached a point where we have obtained the following tableau. Apply one more pivot operation, indicating the highlighted row and column and the row operations you carry out. What can you conclude from your updated tableau? x1 x2 x3 81 82 83 84 81 -2 0 1 1 0 0 0 3 82 3 0 -2 0 1 2 0 6 12 1 1 -3 0 0 1 0 2 84 -3 0 2 0 0 -1 1 4 -2 -2 0 11 0 0-4 0 -8
b) Solve the following linear program using the 2-phase simplex algorithm. You should give the initial tableau, and each further tableau produced during the execution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize ₁ - 2x2+x34x4 subject to 2x1+x22x3x41, 5x1 + x2-x3-×4 ≤ −1, 2x1+x2-x3-34 2, 1, 2, 3, 40.
9. An elementary single period market model contains a risk-free asset with interest rate r = 5% and a risky asset S which has price 30 at time t = 0 and will have either price 10 or 60 at time t = 1. Find a replicating strategy for a contingent claim with payoff h(S₁) = max(20 - S₁, 0) + max(S₁ — 50, 0). Total [8 Marks]

Chapter 10 Solutions

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 10.1 - Factor: 4n28nCh. 10.1 - Factor: 10x2+5xCh. 10.1 - Factor: 10x2+25xCh. 10.1 - Factor: y28yCh. 10.1 - Factor: 3r26rCh. 10.1 - Factor: x3+13x2+25xCh. 10.1 - Factor: 4x4+8x3+12x2Ch. 10.1 - Factor: 9x415x218xCh. 10.1 - Factor: 9a29ax2Ch. 10.1 - Factor: aa3Ch. 10.1 - Factor: 10x+10y10zCh. 10.1 - Factor: 2x22xCh. 10.1 - Factor: 3y6Ch. 10.1 - Factor: y3y2Ch. 10.1 - Factor: 14xy7x2y2Ch. 10.1 - Factor: 25a225b2Ch. 10.1 - Factor: 12x2m7mCh. 10.1 - Factor: 90r210R2Ch. 10.1 - Factor: 60ax12aCh. 10.1 - Factor: 2x2100x3Ch. 10.1 - Factor: 52m2n213mnCh. 10.1 - Factor: 40x8x3+4x4Ch. 10.1 - Factor: 52m214m+2Ch. 10.1 - Factor: 27x354xCh. 10.1 - Factor: 36y218y3+54y4Ch. 10.1 - Factor: 20y310y2+5yCh. 10.1 - Factor: 6m612m2+3mCh. 10.1 - Factor: 16x332x216xCh. 10.1 - Factor: 4x2y36x2y410x2y5Ch. 10.1 - Factor: 18x3y30x4y+48xyCh. 10.1 - Factor: 3a2b2c2+27a3b3c381abcCh. 10.1 - Factor: 15x2yz420x3y2z2+25x2y3z2Ch. 10.1 - Factor: 4x3z48x2y2z3+12xyz2Ch. 10.1 - Factor: 18a2b2c2+24ab2c230a2c2Ch. 10.2 - Find each product mentally: (x+5)(x+2)Ch. 10.2 - Find each product mentally: (x+3)(2x+7)Ch. 10.2 - Find each product mentally: (2x+3)(3x+4)Ch. 10.2 - Find each product mentally: (x+3)(x+18)Ch. 10.2 - Find each product mentally: (x5)(x6)Ch. 10.2 - Find each product mentally: (x9)(x8)Ch. 10.2 - Find each product mentally: (x12)(x2)Ch. 10.2 - Find each product mentally: (x9)(x4)Ch. 10.2 - Find each product mentally: (x+8)(2x+3)Ch. 10.2 - Find each product mentally: (3x7)(2x5)Ch. 10.2 - Find each product mentally: (x+6)(x2)Ch. 10.2 - Find each product mentally: (x7)(x3)Ch. 10.2 - Find each product mentally: (x9)(x10)Ch. 10.2 - Find each product mentally: (x9)(x+10)Ch. 10.2 - Find each product mentally: (x12)(x+6)Ch. 10.2 - Find each product mentally: (2x+7)(4x5)Ch. 10.2 - Find each product mentally: (2x7)(4x+5)Ch. 10.2 - Prob. 18ECh. 10.2 - Find each product mentally: (2x+5)(4x7)Ch. 10.2 - Find each product mentally: (6x+5)(5x1)Ch. 10.2 - Find each product mentally: (7x+3)(2x+5)Ch. 10.2 - Find each product mentally: (5x7)(2x+1)Ch. 10.2 - Find each product mentally: (x9)(3x+8)Ch. 10.2 - Find each product mentally: (x8)(2x+9)Ch. 10.2 - Find each product mentally: (6x+5)(x+7)Ch. 10.2 - Find each product mentally: (16x+3)(x1)Ch. 10.2 - Find each product mentally: (13x4)(13x4)Ch. 10.2 - Find each product mentally: (12x+1)(12x+5)Ch. 10.2 - Find each product mentally: (10x+7)(12x3)Ch. 10.2 - Find each product mentally: (10x7)(12x+3)Ch. 10.2 - Find each product mentally: (10x7)(10x3)Ch. 10.2 - Find each product mentally: (10x+7)(10x+3)Ch. 10.2 - Find each product mentally: (2x3)(2x5)Ch. 10.2 - Find each product mentally: (2x+3)(2x+5)Ch. 10.2 - Find each product mentally: (2x3)(2x+5)Ch. 10.2 - Find each product mentally: (2x+3)(2x5)Ch. 10.2 - Find each product mentally: (3x8)(2x+7)Ch. 10.2 - Prob. 38ECh. 10.2 - Find each product mentally: (3x+8)(2x+7)Ch. 10.2 - Find each product mentally: (3x8)(2x7)Ch. 10.2 - Find each product mentally: (8x5)(2x+3)Ch. 10.2 - Find each product mentally: (x7)(x+5)Ch. 10.2 - Find each product mentally: (y7)(2y+3)Ch. 10.2 - Find each product mentally: (m9)(m+2)Ch. 10.2 - Find each product mentally: (3n6y)(2n+5y)Ch. 10.2 - Find each product mentally: (6ab)(2a+3b)Ch. 10.2 - Find each product mentally: (4xy)(2x+7y)Ch. 10.2 - Find each product mentally: (8x12)(2x+3)Ch. 10.2 - Find each product mentally: (12x8)(14x6)Ch. 10.2 - Find each product mentally: (23x6)(13x+9)Ch. 10.3 - Factor each trinomial completely: x2+6x+8Ch. 10.3 - Factor each trinomial completely: x2+8x+15Ch. 10.3 - Factor each trinomial completely: y2+9y+20Ch. 10.3 - Factor each trinomial completely: 2w2+20w+32Ch. 10.3 - Factor each trinomial completely: 3r2+30r+75Ch. 10.3 - Factor each trinomial completely: a2+14a+24Ch. 10.3 - Factor each trinomial completely: b2+11b+30Ch. 10.3 - Factor each trinomial completely: c2+21c+54Ch. 10.3 - Factor each trinomial completely: x2+17x+72Ch. 10.3 - Factor each trinomial completely: y2+18y+81Ch. 10.3 - Factor each trinomial completely: 5a2+35a+60Ch. 10.3 - Factor each trinomial completely: r2+12r+27Ch. 10.3 - Factor each trinomial completely: x27x+12Ch. 10.3 - Factor each trinomial completely: y26y+9Ch. 10.3 - Factor each trinomial completely: 2a218a+28Ch. 10.3 - Factor each trinomial completely: c29c+18Ch. 10.3 - Factor each trinomial completely: 3x230x+63Ch. 10.3 - Factor each trinomial completely: r212r+35Ch. 10.3 - Factor each trinomial completely: w213w+42Ch. 10.3 - Factor each trinomial completely: x214x+49Ch. 10.3 - Factor each trinomial completely: x219x+90Ch. 10.3 - Factor each trinomial completely: 4x284x+80Ch. 10.3 - Factor each trinomial completely: t212t+20Ch. 10.3 - Factor each trinomial completely: b215b+54Ch. 10.3 - Factor each trinomial completely: x2+2x8Ch. 10.3 - Factor each trinomial completely: x22x15Ch. 10.3 - Factor each trinomial completely: y2+y20Ch. 10.3 - Prob. 28ECh. 10.3 - Factor each trinomial completely: a2+5a24Ch. 10.3 - Factor each trinomial completely: b2+b30Ch. 10.3 - Factor each trinomial completely: c215c54Ch. 10.3 - Factor each trinomial completely: b26b72Ch. 10.3 - Factor each trinomial completely: 3x23x36Ch. 10.3 - Factor each trinomial completely: a2+5a14Ch. 10.3 - Factor each trinomial completely: c2+3c18Ch. 10.3 - Factor each trinomial completely: x24x21Ch. 10.3 - Factor each trinomial completely: y2+17y+42Ch. 10.3 - Factor each trinomial completely: m218m+72Ch. 10.3 - Factor each trinomial completely: r22r35Ch. 10.3 - Factor each trinomial completely: x2+11x42Ch. 10.3 - Factor each trinomial completely: m222m+40Ch. 10.3 - Factor each trinomial completely: y2+17y+70Ch. 10.3 - Factor each trinomial completely: x29x90Ch. 10.3 - Factor each trinomial completely: x28x+15Ch. 10.3 - Factor each trinomial completely: a2+27a+92Ch. 10.3 - Factor each trinomial completely: x2+17x110Ch. 10.3 - Factor each trinomial completely: 2a212a110Ch. 10.3 - Factor each trinomial completely: y214y+40Ch. 10.3 - Factor each trinomial completely: a2+29a+100Ch. 10.3 - Factor each trinomial completely: y2+14y120Ch. 10.3 - Factor each trinomial completely: y214y95Ch. 10.3 - Factor each trinomial completely: b2+20b+36Ch. 10.3 - Factor each trinomial completely: y218y+32Ch. 10.3 - Factor each trinomial completely: x28x128Ch. 10.3 - Factor each trinomial completely: 7x2+7x14Ch. 10.3 - Factor each trinomial completely: 2x26x36Ch. 10.3 - Factor each trinomial completely: 6x2+12x6Ch. 10.3 - Factor each trinomial completely: 4x2+16x+16Ch. 10.3 - Factor each trinomial completely: y212y+35Ch. 10.3 - Factor each trinomial completely: a2+16a+63Ch. 10.3 - Factor each trinomial completely: a2+2a63Ch. 10.3 - Factor each trinomial completely: y2y42Ch. 10.3 - Factor each trinomial completely: x2+18x+56Ch. 10.3 - Factor each trinomial completely: x2+11x26Ch. 10.3 - Factor each trinomial completely: 2y236y+90Ch. 10.3 - Factor each trinomial completely: ax2+2ax+aCh. 10.3 - Factor each trinomial completely: 3xy218xy+27xCh. 10.3 - Factor each trinomial completely: x3x2156xCh. 10.3 - Factor each trinomial completely: x2+30x+225Ch. 10.3 - Factor each trinomial completely: x22x360Ch. 10.3 - Factor each trinomial completely: x226x+153Ch. 10.3 - Factor each trinomial completely: x2+8x384Ch. 10.3 - Factor each trinomial completely: x2+28x+192Ch. 10.3 - Factor each trinomial completely: x2+3x154Ch. 10.3 - Factor each trinomial completely: x2+14x176Ch. 10.3 - Factor each trinomial completely: x259x+798Ch. 10.3 - Factor each trinomial completely: 2a2b+4ab48bCh. 10.3 - Factor each trinomial completely: ax215ax+44aCh. 10.3 - Factor each trinomial completely: y2y72Ch. 10.3 - Factor each trinomial completely: x2+19x+60Ch. 10.4 - Find each product: (x+3)(x3)Ch. 10.4 - Find each product: (x+3)2Ch. 10.4 - Find each product: (a+5)(a5)Ch. 10.4 - Find each product: (y2+9)(y29)Ch. 10.4 - Find each product: (2b+11)(2b11)Ch. 10.4 - Find each product: (x6)2Ch. 10.4 - Find each product: (100+3)(1003)Ch. 10.4 - Find each product: (90+2)(902)Ch. 10.4 - Find each product: (3y2+14)(3y214)Ch. 10.4 - Find each product: (y+8)2Ch. 10.4 - Find each product: (r12)2Ch. 10.4 - Find each product: (t+10)2Ch. 10.4 - Find each product: (4y+5)(4y5)Ch. 10.4 - Find each product: (200+5)(2005)Ch. 10.4 - Find each product: (xy4)2Ch. 10.4 - Find each product: (x2+y)(x2y)Ch. 10.4 - Find each product: (ab+d)2Ch. 10.4 - Find each product: (ab+c)(abc)Ch. 10.4 - Find each product: (z11)2Ch. 10.4 - Find each product: (x3+8)(x38)Ch. 10.4 - Find each product: (st7)2Ch. 10.4 - Find each product: (w+14)(w14)Ch. 10.4 - Find each product: (x+y2)(xy2)Ch. 10.4 - Find each product: (1x)2Ch. 10.4 - Find each product: (x+5)2Ch. 10.4 - Find each product: (x6)2Ch. 10.4 - Find each product: (x+7)(x7)Ch. 10.4 - Find each product: (y12)(y+12)Ch. 10.4 - Find each product: (x3)2Ch. 10.4 - Find each product: (x+4)2Ch. 10.4 - Find each product: (ab+2)(ab2)Ch. 10.4 - Find each product: (m3)(m+3)Ch. 10.4 - Find each product: (x2+2)(x22)Ch. 10.4 - Find each product: (m+15)(m15)Ch. 10.4 - Find each product: (r15)2Ch. 10.4 - Find each product: (t+7a)2Ch. 10.4 - Find each product: (y35)2Ch. 10.4 - Find each product: (4x2)2Ch. 10.4 - Find each product: (10x)(10+x)Ch. 10.4 - Find each product: (ay23)(ay2+3)Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Prob. 8ECh. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.6 - Factor completely: 5x22812Ch. 10.6 - Factor completely: 4x24x3Ch. 10.6 - Factor completely: 10x229x+21Ch. 10.6 - Factor completely: 4x2+4x+1Ch. 10.6 - Factor completely: 12x228x+15Ch. 10.6 - Factor completely: 9x236x+32Ch. 10.6 - Factor completely: 8x2+26x45Ch. 10.6 - Factor completely: 4x2+15x4Ch. 10.6 - Factor completely: 16x211x5Ch. 10.6 - Factor completely: 6x2+3x3Ch. 10.6 - Factor completely: 12x216x16Ch. 10.6 - Factor completely: 10x235x+15Ch. 10.6 - Factor completely: 15y2y6Ch. 10.6 - Factor completely: 6y2+y2Ch. 10.6 - Factor completely: 8m210m3Ch. 10.6 - Factor completely: 2m27m30Ch. 10.6 - Factor completely: 35a22a1Ch. 10.6 - Factor completely: 12a228a+15Ch. 10.6 - Factor completely: 16y28y+1Ch. 10.6 - Factor completely: 25y2+20y+4Ch. 10.6 - Factor completely: 3x2+20x63Ch. 10.6 - Factor completely: 4x2+7x15Ch. 10.6 - Factor completely: 12b2+5b2Ch. 10.6 - Factor completely: 10b27b12Ch. 10.6 - Factor completely: 15y214y8Ch. 10.6 - Factor completely: 5y2+11y+2Ch. 10.6 - Factor completely: 90+17c3c2Ch. 10.6 - Prob. 28ECh. 10.6 - Factor completely: 6x213x+5Ch. 10.6 - Factor completely: 56229x+3Ch. 10.6 - Factor completely: 2y4+9y235Ch. 10.6 - Factor completely: 2y2+7y99Ch. 10.6 - Factor completely: 4b2+52b+169Ch. 10.6 - Factor completely: 6x219x+15Ch. 10.6 - Factor completely: 14x251x+40Ch. 10.6 - Factor completely: 42x413x240Ch. 10.6 - Factor completely: 28x3+140x2+175xCh. 10.6 - Factor completely: 24x354x221xCh. 10.6 - Factor completely: 10ab215ab175aCh. 10.6 - Factor completely: 40bx272bx70bCh. 10 - Prob. 1RCh. 10 - Find each product mentally: (x6)(x+6)Ch. 10 - Find each product mentally: (y+7)(y4)Ch. 10 - Find each product mentally: (2x+5)(2x9)Ch. 10 - Find each product mentally: (x+8)(x3)Ch. 10 - Find each product mentally: (x4)(x9)Ch. 10 - Find each product mentally: (x3)2Ch. 10 - Find each product mentally: (2x6)2Ch. 10 - Find each product mentally: (15x2)2Ch. 10 - Factor each expression completely: 6a+6Ch. 10 - Factor each expression completely: 5x15Ch. 10 - Factor each expression completely: xy+2xzCh. 10 - Factor each expression completely: y4+17y318y2Ch. 10 - Factor each expression completely: y26y7Ch. 10 - Factor each expression completely: z2+18z+81Ch. 10 - Factor each expression completely: x2+10x+16Ch. 10 - Factor each expression completely: 4a2+4x2Ch. 10 - Factor each expression completely: x217x+72Ch. 10 - Factor each expression completely: x218x+81Ch. 10 - Factor each expression completely: x2+19x+60Ch. 10 - Factor each expression completely: y22y+1Ch. 10 - Factor each expression completely: x23x28Ch. 10 - Factor each expression completely: x24x96Ch. 10 - Factor each expression completely: x2+x110Ch. 10 - Factor each expression completely: x249Ch. 10 - Factor each expression completely: 16y29x2Ch. 10 - Factor each expression completely: x2144Ch. 10 - Factor each expression completely: 25x281y2Ch. 10 - Factor each expression completely: 4x224x364Ch. 10 - Factor each expression completely: 5x25x780Ch. 10 - Factor each expression completely: 2x2+11x+14Ch. 10 - Factor each expression completely: 12x219x+4Ch. 10 - Factor each expression completely: 30x2+7x15Ch. 10 - Factor each expression completely: 12x2+143x12Ch. 10 - Factor each expression completely: 4x26x+2Ch. 10 - Factor each expression completely: 36x249y2Ch. 10 - Factor each expression completely: 28x2+82x+30Ch. 10 - Factor each expression completely: 30x227x21Ch. 10 - Factor each expression completely: 4x34xCh. 10 - Factor each expression completely: 25y2100Ch. 10 - Find each product mentally: (x+8)(x3)Ch. 10 - Find each product mentally: (2x8)(5x6)Ch. 10 - Find each product mentally: (2x8)(2x+8)Ch. 10 - Find each product mentally: (3x5)2Ch. 10 - Find each product mentally: (4x7)(2x+3)Ch. 10 - Find each product mentally: (9x7)(5x+4)Ch. 10 - Factor each expression completely: x2+4x+3Ch. 10 - Factor each expression completely: x212x+35Ch. 10 - Factor each expression completely: 6x27x90Ch. 10 - Factor each expression completely: 9x2+24x+16Ch. 10 - Factor each expression completely: x2+7x18Ch. 10 - Factor each expression completely: 4x225Ch. 10 - Factor each expression completely: 6x2+13x+6Ch. 10 - Factor each expression completely: 3x2y218x2y+27x2Ch. 10 - Factor each expression completely: 3x211x4Ch. 10 - Factor each expression completely: 15x219x10Ch. 10 - Factor each expression completely: 5x2+7x6Ch. 10 - Factor each expression completely: 3x23x6Ch. 10 - Factor each expression completely: 9x2121Ch. 10 - Factor each expression completely: 9x230x+25Ch. 10 - Perform the indicated operations and simplify:...Ch. 10 - Round 746.83 to the a. nearest tenth and b....Ch. 10 - Do as indicated and simplify: 2315+23Ch. 10 - Write 0.000318 in a. scientific notation and b....Ch. 10 - Change 625 g to kg.Ch. 10 - Change 7 m2 to ft2.Ch. 10 - Read the voltmeter scale in Illustration 1....Ch. 10 - Use the rules of measurement to multiply:...Ch. 10 - Combine like terms and simplify: 3(x2)4(23x)Ch. 10 - Combine like terms and simplify: (6a3b+2c)(2a3b+c)Ch. 10 - Solve: x34=2x5Ch. 10 - A rectangle is 5 m longer than it is wide. Its...Ch. 10 - Solve the proportion and round the result to three...Ch. 10 - A pulley is 18 in. in diameter, is rotating at 125...Ch. 10 - Complete the ordered-pair solutions of the...Ch. 10 - Solve for y: 3xy=5Ch. 10 - Draw the graph of 3x+4y=24Ch. 10 - Draw the graphs of 2xy=4 and x+3y=5. Find the...Ch. 10 - Solve each pair of linear equation:...Ch. 10 - Solve each pair of linear equation: y=3x5x+3y=8Ch. 10 - Solve each pair of linear equation: xy=63x+y=2Ch. 10 - Solve each pair of linear equation: xy=63x+y=2Ch. 10 - Solve each pair of linear equation:...Ch. 10 - Two rental automobiles were leased for a total of...Ch. 10 - Find each product mentally: (2x5)(3x+8)Ch. 10 - Find each product mentally: (5x7y)2Ch. 10 - Find each product mentally: (3x5)(5x7)Ch. 10 - Factor each expression completely: 7x363xCh. 10 - Factor each expression completely: 4x3+12x2Ch. 10 - Factor each expression completely: 2x27x4
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