Algebra Demystified 2nd Ed
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387 chapter 11 Quadratic Applications Now that we can solve a larger family of equations, we can solve a larger family of applie ...
388 algebra De mystif ieD Number Sense Problems Most of the problems in this chapter aren’t much different from the word problem ...
Chapter 11 QuaDraTiC appliCaTionS 389 Two positive numbers differ by 5. Their product is 104. Find the two numbers. We let x rep ...
390 algebra De mystif ieD Let x = first number and x + 1 = second number. xx xx xx xx () ()() += += +− = +−= 1 380 380 380 0 2 ...
Chapter 11 QuaDraTiC appliCaTionS 391 Let x = first number and x + 7 = second number. xx xx xx xx () ()() += += +−= −+= 7 228 ...
392 algebra De mystif ieD EXAMPLES Represent the revenue formula in terms of x, the number incremental changes in the price. A d ...
Chapter 11 QuaDraTiC appliCaTionS 393 A grocery store sells 4000 gallons of milk per week when the price is $2.80 per gallon. C ...
394 algebra De mystif ieD Px Qx Rxx =+ =− =+ − 30 2405 30 2405 ()() PxQx Rxx =− =+ =− + 150005 250 10 150005 250 10 .. (. .) ...
Chapter 11 QuaDraTiC appliCaTionS 395 If x = 2, the price for each player is P = 80 – 52 () $= 70. A rental company manages a ...
396 algebra De mystif ieD 1 250 250 750 500 1 250 ( xx^2 – + ) = () 0 x^2 – 3x + 2 = 0 (x – 2)(x – 1) = 0 x – 2 = 0 x – 1 = 0 ...
Chapter 11 QuaDraTiC appliCaTionS 397 PRACTICE The owner of an apartment complex knows he can rent all 50 apart- ments when the ...
398 algebra De mystif ieD 1 50 50 450 400 1 50 ( xx^2 – + )( = 0 ) x^2 − 9x + 8 = 0 (x − 8)(x − 1) = 0 x x – = = 80 8 x x ...
Chapter 11 QuaDraTiC appliCaTionS 399 P = 30 + 2x Q = 40 − 5x R = (30 + 2x)(40 − 5x) 1120 = (30 + 2x)(40 − 5x) 1120 = 1200 − 7 ...
400 algebra De mystif ieD x () ()()( ) () = ––^60 ± ^60 – ^41224 =^ ± 21 −^2603600 –– = ± = ± = 896 2 60 2704 2 60 52 2 (^ ...
Chapter 11 QuaDraTiC appliCaTionS 401 EXAMPLE Together John and Michael can paint a wall in 18 minutes. Alone John needs 15 minu ...
402 algebra De mystif ieD PRACTICE Alex and Tina working together can peel a bag of potatoes in 6 minutes. By herself Tina need ...
Chapter 11 QuaDraTiC appliCaTionS 403 (^6565) 6306 5 12 30 5 0 2 2 2 ()tttt() tttt ttt t ++=+ ++=+ +=+ =− 7730 0103 t tt − =−()( ...
404 algebra De mystif ieD Let t represent the number of hours Printing Press II needs to print the run by itself. Because Print ...
Chapter 11 QuaDraTiC appliCaTionS 405 Worker Quantity Rate Time Pipe I (^115) t− 3 t −^53 Pipe II 1 1 t t Together 1 1 2 2 The e ...
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