Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 7.5, Problem 331E
In the following exercises, write an inverse variation equation to solve the following problems.
331. Paul, a dentist, determined that the number of cavities that develops in his patient’s mouth each year varies inversely to the number of minutes spent brushing each night. His patient, Lori, had four cavities when brushing her teeth 30 seconds (0.5 minutes) each night.
(a) Write the equation that relates the number of cavities to the time spent brushing.
(b) How many cavities would Paul expect Lori to have if she had brushed her teeth for 2 minutes each night?
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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 - 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 - 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 - 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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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 this section, you learned to simplify the...Ch. 7.3 - Efraim wants to start simplifying the complex...Ch. 7.4 - Solve: 1y+23=15 .Ch. 7.4 - Solve: 23+15=1x .Ch. 7.4 - Solve: 12x=15x2 .Ch. 7.4 - Solve: 14y=12y2 .Ch. 7.4 - Solve: 2x+1+1x1=1x21 .Ch. 7.4 - Solve: 5y+3+2y3=5y29 .Ch. 7.4 - Solve: x+13x27x+10=6x54x2 .Ch. 7.4 - 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. On...Ch. 7.5 - In the following exercises, answer each question....Ch. 7.5 - In the following exercises, answer each question....Ch. 7.5 - In the following exercises, answer each question....Ch. 7.5 - In the following exercises, answer each question....Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - In the following exercises, solve the application...Ch. 7.5 - Mike, an experienced bricklayer, can build a wall...Ch. 7.5 - It takes Sam 4 hours to rake the front lawn while...Ch. 7.5 - Mia can clean her apartment in 6 hours while her...Ch. 7.5 - Brian can lay a slab of concrete in 6 hours, while...Ch. 7.5 - Josephine can correct her students test papers in...Ch. 7.5 - Washing his dad’s car alone, eight year old Levi...Ch. 7.5 - At the end of the day Dodie can clean her hair...Ch. 7.5 - Ronald can shovel the driveway in 4 hours, but if...Ch. 7.5 - In the following exercises, solve. 313. 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It takes Paula 3...Ch. 7.5 - In your own words, explain the difference between...Ch. 7.5 - Make up an example from your life experience of...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Solve and write the solution in interval notation:...Ch. 7.6 - Given the function R(x)=x2x+4 , find the values of...Ch. 7.6 - Given the function R(x)=x+1x4 , find the values of...Ch. 7.6 - The function C(x)=20x+6000 represents the cost to...Ch. 7.6 - The function C(x)=5x+900 represents the cost to...Ch. 7.6 - In the following exercises, solve each rational...Ch. 7.6 - In the following exercises, solve each rational...Ch. 7.6 - 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Write the steps you would use to explain solving...Ch. 7.6 - Create a rational inequality whose solution is...Ch. 7 - In the following exercises, determine the values...Ch. 7 - In the following exercises, determine the values...Ch. 7 - In the following exercises, determine the values...Ch. 7 - In the following exercises, determine the values...Ch. 7 - In the following exercises, simplify. 381. 1824Ch. 7 - In the following exercises, simplify. 382....Ch. 7 - In the following exercises, simplify. 383....Ch. 7 - In the following exercises, simplify. 384....Ch. 7 - In the following exercises, multiply. 385. 58415Ch. 7 - In the following exercises, multiply. 386....Ch. 7 - In the following exercises, multiply. 387....Ch. 7 - In the following exercises, multiply. 388....Ch. 7 - In the following exercises, divide. 389....Ch. 7 - In the following exercises, divide. 390....Ch. 7 - In the following exercises, divide. 391....Ch. 7 - In the following exercises, divide. 392....Ch. 7 - In the following exercises, divide. 393....Ch. 7 - In the following exercises, divide. 394....Ch. 7 - Find R(x)=f(x)g(x) where f(x)=9x2+9xx23x4 and...Ch. 7 - Find R(x)=f(x)g(x) where f(x)=27x23x21 and...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, perform the indicated...Ch. 7 - In the following exercises, add and subtract. 405....Ch. 7 - In the following exercises, add and subtract. 406....Ch. 7 - In the following exercises, add and subtract. 407....Ch. 7 - In the following exercises, add and subtract. 408....Ch. 7 - In the following exercises, find the LCD. 409....Ch. 7 - In the following exercises, find the LCD. 410....Ch. 7 - In the following exercises, find the LCD. 411....Ch. 7 - 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- Asked this question and got a wrong answer previously: Third, show that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say?arrow_forwardDetermine whether the inverse of f(x)=x^4+2 is a function. Then, find the inverse.arrow_forwardThe 173 acellus.com StudentFunctions inter ooks 24-25/08 R Mastery Connect ac ?ClassiD-952638111# Introduction - Surface Area of Composite Figures 3 cm 3 cm 8 cm 8 cm Find the surface area of the composite figure. 2 SA = [?] cm² 7 cm REMEMBER! Exclude areas where complex shapes touch. 7 cm 12 cm 10 cm might ©2003-2025 International Academy of Science. All Rights Reserved. Enterarrow_forward
- You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methodsarrow_forwardPlane II is spanned by the vectors: - (2) · P² - (4) P1=2 P21 3 Subspace W is spanned by the vectors: 2 W1 - (9) · 1 W2 1 = (³)arrow_forwardshow that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say? find v42 so that v4 = ( 2/5, v42, 1)⊤ is an eigenvector of M4 with corresp. eigenvalue λ4 = 45arrow_forward
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