Note the binomial expansion,
(<em>a</em> + 1/<em>a</em>)³ = <em>a</em> ³ + 3<em>a</em> + 3/<em>a</em> + 1/<em>a</em> ³
so
<em>a</em> ³ + 1/<em>a</em> ³ = (<em>a</em> + 1/<em>a</em>)³ - 3 (<em>a</em> + 1/<em>a</em>)
Similarly,
(<em>a</em> + 1/<em>a</em>)² = <em>a</em> ² + 2 + 1/<em>a</em> ²
We're given <em>a</em> ² + 1/<em>a</em> ² = 79, so
(<em>a</em> + 1/<em>a</em>)² - 2 = 79
(<em>a</em> + 1/<em>a</em>)² = 81
<em>a</em> + 1/<em>a</em> = ±9
but <em>a</em> > 0, so we ignore the negative solution.
Then
<em>a</em> ³ + 1/<em>a</em> ³ = 9³ - 3×9 = 702
The answer is x>-2 first you just move the -1 by adding 1 to both sides. Then you get 4x>-8 then you must isolate the x by dividing the 4 on both sides. After you divide it you will have just x on one side of the inequality and -2 on the other side. this will leave you with the inequality x>-2
Answer: Probability of twenty- dollar bill is 0.
Step-by-step explanation:
Number of five dollars = 2
Number of ten dollars = 9
Total number of dollars is given by
Since there is no twenty dollar bills.
So, Probability of getting twenty- dollar bill is given by
Hence, Probability of twenty- dollar bill is 0.
Answer:
The most prefered sport was hiking and the relative frequency was 123
Step-by-step explanation:
Relative frequency is basically how many times this happened
Salutations!
<span>There are 318 fiction books in the class library. The number of non fiction book is 47 less than double the number of fictions book. About how many non fiction books are there in the class library?
Let the number of non fiction books me 'NF'.
Let 'F' be fiction
Double means '2', therefore:
2F - 47 = non fiction (NF)
2(318) - 47 = non fiction
As you can see brackets indicate multiplication, therefore you will be multiplying 318 and 2
636 - 47 = non fiction (NF)
Subtract 47 from 636
589 = nonfiction (NF)
There are 589 non fiction books in the library.
Hope I helped (:
Have a great day!</span>
