(x + 1/x)² = 3 | √
<u>x + 1/x</u> = √3
According to short multiplication formula:
(a + b)³ =a³ + 3a²b + 3ab² + b³
x³ + 1/x³ = (x)³ + (1/x)³ = (x + 1/x)³ - 3x²/x - 3x/x² =
= (x + 1/x)³ - 3x - 3/x = (<u>x + 1/x</u>)³ - 3(<u>x + 1/x</u>) =
= (√3)³ - 3√3 = 3√3 - 3√3 = 0
If (x + 1/x)² = 3 the value of x³ + 1/x³ is 0.
Answer:
0.51
Step-by-step explanation:
Total free throws taken = 45
Number of successful free throws = 23
Average number of free throws made (x) :
Successful free throws / Numbe rod free throws taken
23 / 45 = 0.511
x = 0.51
Slope = 2/1
Work is attached in the image provided.
Answer:

Step-by-step explanation:
Thinking process:
Let the total set be the combination of all the sets as shown
It means that total items = 7 + 14 + 7 + 2
= 30
But the total number of the subsets = 5 + 7+ 2
= 14
Therefore the probability = 
= 
=
Answer:
y = 1/2x - 4
Step-by-step explanation:
y - (-2) = 1/2(x - 4)
y + 2 = 1/2x - 2
y = 1/2x - 4