Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
Answer:
3rd one
Step-by-step explanation:
Answer:
1 /4
Step-by-step explanation:
Given that :
Let :
P(S) = probability of drawing a spade
Odds in favor of drawing a spade = 1:3 ; this could be interpreted as :
P(drawing a spade)/P(not drawing a spade) = 1:3
P(S) / P(S') = 1/ 3
P(S') = 1 - P(S)
P(S) / (1 - P(S)) = 1 / 3
Cross multiply :
3P(S) = 1 - P(S)
Collect like terms
3P(S) + P(S) = 1
4P(S) = 1
P(S) = 1/4
Hence, probability ratio of drawing a spade P(S) = 1/4
Start with
Divide both sides by -3
If the absolute value of a number is 4, that number can either be 4 or -4: we have the two solutions
Answer:third graph (open circle on 518, colored to the right)
Step-by-step explanation:The record is 518 cm. That means that 518 cm has already been accomplished. Anything less than 518 cm is not a record. 518 cm is also not a record. Only distances greater than 518 cm are records
