A Complete Algebra to Accompany Rays Series of Mathematics

Cover A Complete Algebra to Accompany Rays Series of Mathematics
A Complete Algebra to Accompany Rays Series of Mathematics
George W Smith
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AHx" + flr^) = 2a^x + 1. 39. 4. T + = 4r?. ^ ' ^ XX a:4-2^a; + 4 a; 4-6* L X X (20" -f 2h^ 36. X^ — x{2a — b) — 2ab. 40. X^ — rc P^g _ ^ ) ~ ~ "'• CHAPTER XXL PROBLEMS INVOLVING QUADRATICS. 378. — 1. A SELLS a box for |24, and by so doing lie gains as much per cent as the box cost. AVhat was the cost of the box? Let X denote the number of dollars the box cost. Then — — denotes one per cent of the price, and x times or "o ■—— — -^ denotes x per cent of the price. Since the cost is x, and the gai...n is —r--, therefore x -\- -~~r is the selling price. But 24 equals the selling price. A? . • . (Ax. 1) X -[-—- = 24, whence x = 20 or — 120. Only the positive value of x is admissible; therefore the box cost 120. . 379. -2. A rows 7 miles down stream and back again in 3 hours 20 minutes. Supposing the river to have a current of 2 miles per hour, find the rate of rowing. Let X denote the rate of rowing; that is, the number of miles A could row per hour in still water.

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