Answer:
1.
Step-by-step explanation:
Note that 2^4 - 2^3 = 16 - 8 = 8 = 2^3
In a similar way 2^6 - 2^5 = 64 - 32 = 32 = 2^5.
So 2^99 - 2^98 = 2^98 , 2^98 - 2^97 = 2^97 , 2^97 - 2^96 = 2^96 and so on.
Therefore when we come to the last 2 terms we have 2^1 - 2^0 = 2 - 1
= 1 , so the answer is 1.
x² - 14x + 46 = 0
subtract 46 from both-side
x² - 14x = -46
Add the square of the half of the co-efficient of x
x² - 14x + (-7)² = -46 + 7²
(x-7)² = -46 + 49
(x-7)² =3
Take the square root of both-side
x-7 = ±√3
x-7= ±1.732
Add 7 to both-side of the equation.
x= 7 ± 1.732
Eithe x= 7 + 1.732 or x= 7 - 1.732
x=8.732 or x=5.268
Therefore x = 8.732 , 5.268
As a improper fraction, its 127/100
Answer: the third answer (C)
Step-by-step explanation:
