Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 7.5, Problem 7.102TI
Tracy can lay a slab of concrete in 3 hours, with Jordan’s help they can do it in 2 hours. If Jordan works alone, how long will it take?
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Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
n
B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
excluded spans Rª.
○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
vectors.
○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans Rn.
E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
F. none of the above
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Chapter 7 Solutions
Intermediate Algebra
Ch. 7.1 - Simplify: x2x2x23x+2 .Ch. 7.1 - Simplify: x23x10x2+x2 .Ch. 7.1 - Simplify: 2x212xy+18y23x227y2 .Ch. 7.1 - Simplify: 5x230xy+25y22x250y2 .Ch. 7.1 - Simplify: x24x525x2 .Ch. 7.1 - Simplify: x2+x21x2 .Ch. 7.1 - Simplify: 5xx2+5x+6x2410x .Ch. 7.1 - Simplify: 9x2x2+11x+30x2363x2 .Ch. 7.1 - Simplify: 2x2+5x12x216x28x+162x213x+15 .Ch. 7.1 - Simplify: 4b2+7b21b2b22b+14b2+15b4 .
Ch. 7.1 - Simplify: x383x26x+12x246 .Ch. 7.1 - Simplify: 2z2z21z3z2+zz3+1 .Ch. 7.1 - Simplify: 3x2+7x+24x+243x214x5x2+x30 .Ch. 7.1 - Simplify: y2362y2+11y62y22y608y4 .Ch. 7.1 - Perform the indicated operations:...Ch. 7.1 - Perform the indicated operations:...Ch. 7.1 - Find the domain of R(x)=2x210x4x216x20 .Ch. 7.1 - Find the domain of R(x)=4x216x8x216x64 .Ch. 7.1 - Find R(x)=f(x)g(x) where f(x)=3x21x29x+14 and...Ch. 7.1 - Find R(x)=f(x)g(x) where f(x)=x2x3x2+27x30 and...Ch. 7.1 - Find R(x)=f(x)g(x) where f(x)=2x2x28x and...Ch. 7.1 - Find R(x)=f(x)g(x) where f(x)=15x23x2+33x and...Ch. 7.1 - In the following exercises, determine the values...Ch. 7.1 - In the following exercises, determine the values...Ch. 7.1 - In the following exercises, determine the values...Ch. 7.1 - In the following exercises, determine the values...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, simplify each rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, multiply the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - In the following exercises, divide the rational...Ch. 7.1 - For the following exercises, perform the indicated...Ch. 7.1 - For the following exercises, perform the indicated...Ch. 7.1 - For the following exercises, perform the indicated...Ch. 7.1 - For the following exercises, perform the indicated...Ch. 7.1 - In the following exercises, find the domain of...Ch. 7.1 - In the following exercises, find the domain of...Ch. 7.1 - In the following exercises, find the domain of...Ch. 7.1 - In the following exercises, find the domain of...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - For the following exercises, find...Ch. 7.1 - Explain how you find the values of x for which the...Ch. 7.1 - Explain all the steps you take to simplify the...Ch. 7.1 - (a) Multiply 7494 and explain all your steps. (b)...Ch. 7.1 - (a) Divide 2456 and explain all your steps. (b)...Ch. 7.2 - Simplify: 9x+14x+7+x2x+7 .Ch. 7.2 - Simplify: x2+8xx+5+15x+5 .Ch. 7.2 - Subtract: 4x211x+8x23x+23x2+x3x23x+2 .Ch. 7.2 - Subtract: 6x2x+20x2815x2+11x7x281 .Ch. 7.2 - Subtract: y25yy246y64y2 .Ch. 7.2 - Subtract: 2n2+8n1n21n27n11n2 .Ch. 7.2 - (a) Find the LCD for the expressions 2x2x12,1x216...Ch. 7.2 - (a) Find the LCD for the expressions...Ch. 7.2 - Add: 2x2+5x+3 .Ch. 7.2 - Add: 4m+3+3m+4 .Ch. 7.2 - Add: 1m2m2+5mm2+3m+2 .Ch. 7.2 - Add: 2nn23n10+6n2+5n+6 .Ch. 7.2 - Subtract: 2xx241x+2 .Ch. 7.2 - Subtract: 3z+36zz29 .Ch. 7.2 - Subtract: 3x1x25x626x .Ch. 7.2 - Subtract: 2y2y2+2y8y12y .Ch. 7.2 - Subtract: 3b24b52b26b+5 .Ch. 7.2 - Subtract: 4x243x2x2 .Ch. 7.2 - Simplify: vv+1+3v16v21 .Ch. 7.2 - Simplify: 3ww+2+2w+717w+4w2+9w+14 .Ch. 7.2 - Find R(x)=f(x)g(x) where f(x)=x+1x+3 and...Ch. 7.2 - Find R(x)=f(x)+g(x) where f(x)=x4x+3 and...Ch. 7.2 - In the following exercises, add. 75. 215+715Ch. 7.2 - In the following exercises, add. 76. 724+1124Ch. 7.2 - In the following exercises, add. 77. 3c4c5+54c5Ch. 7.2 - In the following exercises, add. 78. 7m2m+n+42m+nCh. 7.2 - In the following exercises, add. 79....Ch. 7.2 - In the following exercises, add. 80....Ch. 7.2 - In the following exercises, add. 81....Ch. 7.2 - In the following exercises, add. 82. 7x2x29+21xx29Ch. 7.2 - In the following exercises, subtract. 83....Ch. 7.2 - In the following exercises, subtract. 84....Ch. 7.2 - In the following exercises, subtract. 85....Ch. 7.2 - In the following exercises, subtract. 86....Ch. 7.2 - In the following exercises, subtract. 87....Ch. 7.2 - In the following exercises, subtract. 88....Ch. 7.2 - In the following exercises, subtract. 89....Ch. 7.2 - In the following exercises, subtract. 90....Ch. 7.2 - In the following exercises, add or subtract. 91....Ch. 7.2 - In the following exercises, add or subtract. 92....Ch. 7.2 - In the following exercises, add or subtract. 93....Ch. 7.2 - In the following exercises, add or subtract. 94....Ch. 7.2 - In the following exercises, add or subtract. 95....Ch. 7.2 - In the following exercises, add or subtract. 96....Ch. 7.2 - In the following exercises, add or subtract. 97....Ch. 7.2 - In the following exercises, add or subtract. 98....Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, (a) find the LCD for...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - In the following exercises, perform the indicated...Ch. 7.2 - 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Donald thinks that 3x+4x is 72x . Is Donald...Ch. 7.2 - Explain how you find the Least Common Denominator...Ch. 7.2 - Felipe thinks 1x+1y is 2x+y . (a) Choose numerical...Ch. 7.2 - Simplify the expression 4n2+6n+91n29 and explain...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - Simplify the complex rational expression by using...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - In the following exercises, simplify each complex...Ch. 7.3 - 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Solve: y6y2+3y4=2y+4+7y1 .Ch. 7.4 - Solve: xx+4=32x216+5 .Ch. 7.4 - Solve: yy+8=128y264+9 .Ch. 7.4 - Solve: y5y1053y+6=2y219y+5415y260 .Ch. 7.4 - Solve: z2z+834z8=3z216z168z2+2z64 .Ch. 7.4 - Solve: 15x2+x63x2=2x+3 .Ch. 7.4 - Solve: 5x2+2x33x2+x2=1x2+5x+6 .Ch. 7.4 - For rational function, f(x)=8xx27x+12 , (a) find...Ch. 7.4 - For rational function, f(x)=x1x26x+5 , (a) find...Ch. 7.4 - Solve: m=y5x4 for y.Ch. 7.4 - Solve: m=y1x+5 for y.Ch. 7.4 - Solve: 1a+1b=c for a.Ch. 7.4 - Solve: 2x+13=1y for y.Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - In the following exercises, solve each rational...Ch. 7.4 - 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Cr=2 for r.Ch. 7.4 - In the following exercises, solve 236. Ir=P for r.Ch. 7.4 - In the following exercises, solve 237. v+3w1=12...Ch. 7.4 - In the following exercises, solve 238. x+52y=43...Ch. 7.4 - In the following exercises, solve 239. a=b+3c2 for...Ch. 7.4 - In the following exercises, solve 240. m=n2n for...Ch. 7.4 - In the following exercises, solve 241. 1p+2q=4 for...Ch. 7.4 - In the following exercises, solve 242. 3s+1t=2 for...Ch. 7.4 - In the following exercises, solve 243. 2v+15=3w...Ch. 7.4 - In the following exercises, solve 244. 6x+23=1y...Ch. 7.4 - In the following exercises, solve 245. m+3n2=45...Ch. 7.4 - In the following exercises, solve 246. r=s3t for...Ch. 7.4 - In the following exercises, solve 247. Ec=m2 for...Ch. 7.4 - In the following exercises, solve 248. RT=W for T.Ch. 7.4 - In the following exercises, solve 249. 3x5y=14 for...Ch. 7.4 - In the following exercises, solve 250....Ch. 7.4 - Your class mate is having trouble in this section....Ch. 7.4 - Alek thinks the equation yy+6=72y236+4 has two...Ch. 7.5 - Solve the proportion: yy+55=38 .Ch. 7.5 - Solve the proportion: zz84=15 .Ch. 7.5 - Pediatricians prescribe 5 milliliters (ml) of...Ch. 7.5 - For every 1 kilogram (kg) of a child’s weight,...Ch. 7.5 - Find the actual distance from Seattle to Portland.Ch. 7.5 - Find the actual distance from Portland to Boise.Ch. 7.5 - A telephone pole casts a shadow that is 50 feet...Ch. 7.5 - A pine tree casts a shadow of 80 feet next to a 30...Ch. 7.5 - Link can ride his bike 20 miles into a 3 mph...Ch. 7.5 - Danica can sail her boat 5 miles into a 7 mph...Ch. 7.5 - Dennis went cross-country skiing for 6 hours on...Ch. 7.5 - Joon drove 4 hours to his home, driving 208 miles...Ch. 7.5 - Kayla rode her bike 75 miles home from college one...Ch. 7.5 - Victoria jogs 12 miles to the park along a flat...Ch. 7.5 - One gardener can mow a golf course in 4 hours,...Ch. 7.5 - Daria can weed the garden in 7 hours, while her...Ch. 7.5 - Alice can paint a room in 6 hours. If Kristina...Ch. 7.5 - Tracy can lay a slab of concrete in 3 hours, with...Ch. 7.5 - The number of calories, c, burned varies directly...Ch. 7.5 - The distance a moving body travels, d, varies...Ch. 7.5 - The number of hours it takes for ice to melt...Ch. 7.5 - Xander’s new business found that the daily demand...Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve each proportion....Ch. 7.5 - In the following exercises, solve. 263. Kevin...Ch. 7.5 - In the following exercises, solve. 264. Jesse’s...Ch. 7.5 - In the following exercises, solve. 265....Ch. 7.5 - In the following exercises, solve. 266. A...Ch. 7.5 - In the following exercises, solve. 267. A new...Ch. 7.5 - In the following exercises, solve. 268. One...Ch. 7.5 - In the following exercises, solve. 269. Kyra is...Ch. 7.5 - In the following exercises, solve. 270. Maurice is...Ch. 7.5 - In the following exercises, solve. 271. Ronald...Ch. 7.5 - In the following exercises, solve. 272. Sonya...Ch. 7.5 - In the following exercises, solve. 273. Phil wants...Ch. 7.5 - In the following exercises, solve. 274. An oatmeal...Ch. 7.5 - In the following exercises, the triangles are...Ch. 7.5 - In the following exercises, the triangles are...Ch. 7.5 - In the following exercises, use the map shown. On...Ch. 7.5 - In the following exercises, use the map shown. On...Ch. 7.5 - In the following exercises, use the map shown. On...Ch. 7.5 - In the following exercises, use the map shown. 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