Answer: 
Justification:As told in the statement, n stands for the number of bits, and
is the highest number of ways n bits can be arranged in the system.
Now, Antonio wants to show that the character can collect one less key than that. So, that number is
less 1, which is what the formula
- 1 states.
Answer:
See below.
Step-by-step explanation:
x^2 = y + 16
4y - 1 = 7x
are the 2 equations. (answer)
From the second equation
4y = 7x + 1
y = 7/4 x + 1/4
Substituting in the first equation:
7/4x + 1/4 + 16 = x^2
x^2 - 7/4 x - 16 - 1/4 = 0
x^2 - 7/4 x - 16 1/4 = 0
Multiplying though by 4
4x^2 - 7x - 65 = 0
Using the ac method to solve this 4 * -65 = -260 and we need factors of this to add up to -7. -20 and 13 look good so we write:
4x^2 - 20x + 13x - 65 = 0
Fatcor by grouping:
4x(x - 5) + 13(x - 5) = 0
(4x + 13)(x - 5) = 0
So the the roots are 5, -3.25
To find the values of y we substitute these values of x into the second equation:
x = 5: 4y - 1 = 7*542y = 36
y = 9.
x = -3.25:
4y - 1 = 7*-3.25
4y = (7 * -3.25) + 1
y = -5.44.
So the solutions are (5, 9) and (-3.25, -5.44) (Answer)
C. X =50 because that is the only one that has x= 50
