Answer:
263.52
Step-by-step explanation:
<u>Sum of Cubes:</u>
a³ + b³ = (a + b)(a² - ab + b²)
Example: x³ + 8 → a=x, b=2
= (x + 2)(x² - 2x + 4)
<u>Difference of Cubes:</u>
a³ - b³ = (a - b)(a² + ab + b²)
Example: x³ - 27 → a=x, b=3
= (x - 3)(x² + 3x + 9)
<u>Difference of Squares:</u>
a² - b² = (a - b)(a + b)
Example: x² - 16 → a=x, b=4
= (x - 4)(x + 4)
Step-by-step explanation:
tut 8986i678775796t7986
Begin by following the herd . . . call the two numbers 'x' and 'y' .
You said that xy=1 , so y = 1/x
You said that x + y = 10, so x + 1/x = 10
Multiply each side by 'x': x² + 1 = 10x
Subtract 10x from each side: x² - 10x + 1 = 0
Use the quadratic formula to solve this, and the two solutions
that you get for 'x' are also the two numbers 'x' and 'y' .
They are
<em>9.89898</em>
and
<em>0.10102</em>
(rounded)
Jeremy can choose his outfit in following ways:
2 ways to select a shirt
2 ways to select a pant
2 ways to select socks
3 ways to select the footwear.
Total number of ways to select the dress = 2 x 2 x 2 x 3 = 24 ways
Jeremy will select an outfit that includes flip-flops, argyle socks and denim pants. The shirt is not specified, so the shirt can be any.
So there are 2 ways to select a shirt, 1 way to select the pant, socks and footwear. So Jeremy can select the desired outfit in 2 ways.
Thus, the probability that Jeremy will select an outfit that includes flip-flops, argyle socks and denim pants = 2/24 = 1/12
