Consider the digit expansion of one of the numbers, say,
676₉ = 600₉ + 70₉ + 6₉
then distribute 874₉ over this sum.
874₉ • 6₉ = (8•6)(7•6)(4•6)₉ = (48)(42)(24)₉
• 48 = 45 + 3 = 5•9¹ + 3•9⁰ = 53₉
• 42 = 36 + 6 = 4•9¹ + 6•9⁰ = 46₉
• 24 = 18 + 6 = 2•9¹ + 6•9⁰ = 26₉
874₉ • 6₉ = 5(3 + 4)(6 + 2)6₉ = 5786₉
874₉ • 70₉ = (8•7)(7•7)(4•7)0₉ = (56)(49)(28)0₉
• 56 = 54 + 2 = 6•9¹ + 2•9⁰ = 62₉
• 49 = 45 + 4 = 5•9¹ + 4•9⁰ = 54₉
• 28 = 27 + 1 = 3•9¹ + 1•9⁰ = 31₉
874₉ • 70₉ = 6(2 + 5)(4 + 3)10₉ = 67710₉
874₉ • 600₉ = (874•6)00₉ = 578600₉
Then
874₉ • 676₉ = 578600₉ + 67710₉ + 5786₉
= 5(7 + 6)(8 + 7 + 5)(6 + 7 + 7)(0 + 1 + 8)(0 + 0 + 6)₉
= 5(13)(20)(20)(1•9)6₉
= 5(13)(20)(20 + 1)06₉
= 5(13)(20)(2•9 + 3)06₉
= 5(13)(20 + 2)306₉
= 5(13)(2•9 + 4)306₉
= 5(13 + 2)4306₉
= 5(1•9 + 6)4306₉
= (5 + 1)64306₉
= 664306₉
What does x equal? In order to find the relationship between x and y we need to know both values at a given instance. For example, if x = 10 while y = 20/3, then we know that you = 20x/30 or 2x/3.
Add 121/4 to each side:
x²+11x+121/4 < 121/4-8
x²+11x+121/4 < 89/4
(x+11/2)² < √89/2 ⇒ -√89/2 < x+11/2 < √89/2
-11/2-√89/2 < x < -11/2+√89/2
If you have a whole number move the number of exponents in 10 and move left. If you have a decimal, and the 10 is negative exponent, move to the write.
Answer:
- Peter is a compulsive gamer. He decides to buy World of Warcraft, all of its expansions, Starcraft 2, a PS3, a Wii, and an Xbox 360 since prices in general have been rising at an alarming rate. <u>INFLATION
</u>
- <u>
</u>Melissa decides to start her own personal library and chooses to amass a private collection of books and magazines about world religions, cooking, comics, and economics. As she reads an issue of The Economist, she discovers overall price levels have changed only 0.01% in the past 2 years and decides it doesn't matter whether she starts the project now or later. <u>PRICE STABILITY</u>
- Linda postpones her wedding even though most food prices and most service prices were dropping this year, which would help keep the cost of the wedding down. <u>DEFLATION</u>
<u>Linda's</u> money earned the most value because deflation means that the currency is gaining value as time passes. It is the opposite to inflation where a currency loses value as time passes.