Hi there,
- 26.8r - 26.9 = 18.3r + 20.7
- 26.8r - 18.3r = 20.7 + 26.9
Then cellect the like term, and calculate the sum
- 45.1r = 47.6
Divide both sides by -45.1
Here are the answers:
====> r = 1.05543
====> -476/451
====> 1 25/451
Hope this helps :)
8/52 or 2/13
Because there is 1 queen and 1 jack in each of the 4 suites. so 2x4=8. Out of 52 cards, then simplify.
Notice that
(1 - <em>x</em>)⁵ (1 + 1/<em>x</em>)⁵ = ((1 - <em>x</em>) (1 + 1/<em>x</em>))⁵ = (1 - <em>x</em> + 1/<em>x</em> - 1)⁵ = (1/<em>x</em> - <em>x</em>)⁵
Recall the binomial theorem:
Let <em>a</em> = 1/<em>x</em>, <em>b</em> = -<em>x</em>, and <em>n</em> = 5. Then
We get an <em>x</em> ³ term for
2<em>k</em> - 5 = 3 ==> 2<em>k</em> = 8 ==> <em>k</em> = 4
so that the coefficient would be