Elementary Technical Mathematics
Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 10, Problem 30CR

Factor each expression completely:

2 x 2 7 x 4

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2. Sam and Deb have a weekly net income of $1500. They have a pet dog. Their monthly expenses, not related to housing, are $2875. They have savings of $32 000. They are considering two housing options: Option 1: Renting a 2-bedroom condo for $1650 a month, plus utilities averaging $210 a month Option 2: Buying a 2-bedroom condo for a down payment of $24 500, bi-weekly mortgage payments of $1100, and a monthly condo fee of $475 a) Determine the monthly cost of each housing option. Factoring in other expenses not related to housing, which one can Sam and Deb afford? b) Suppose their dog falls ill and they have to pay $85 every week to cover veterinarian and medical expenses. Calculate the additional monthly expenses. How much money would be available for savings if they choose housing option 2?
I bought sparrows at 3 for a penny, turtle doves at 2 for a penny, anddoves at 2 pence each. If I spent 30 pence buying 30 birds and boughtat least one of each kind of bird, how many birds of each kind did I buy?(This is a problem from Fibonacci’s Liber Abaci, 1202.)

Chapter 10 Solutions

Elementary Technical Mathematics

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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