Combinatorial Enumeration. That whole class was a rollercoaster ride of mind-blowing generating functions to prove crazy things. The exam had ridiculous questions like 'count the number of cactus trees with n vertices such that etc etc etc' and you'd do three pages of terrible terrible sums and algebra. Then your final answer would be something beautiful like n/2 and you'd breath a sigh of relief and thank the math gods.
The solution of the equation x2+7x is 0, -7 using the quadratic formula.
Step-by-step explanation:
x2 + 7x = 0
-b ± √
b2 - 4(ac)/ 2a
substitution,
a = 1, b = 7, c = 0
= -7 ± √(7)2 - 4(1 x 0) / 2 x 1
= - 7
± 7 / 2
x = 0 , -7
Two large numbers of the Fibonacci sequence are F49<span>= </span>7778742049 and F50=12586269025<span>.</span>
Y = -5x - 4
switch x and y and solve for y
x = -5y - 4
x+4 = -5y
(x+4)/ -5 = y^-1 ( the inverse)
Answer: See the figure attached.
Step-by-step explanation:
1. To solve this exercise and locate the numbers shown in the problem on the number line, you can convert them from fractions to decimal numbers by dividing the numerator by the denominator. Therefore, you obtain:
10/3=3.33
17/3=5.66
2. Now, you can draw a number line (like the one shown in the figure attached) and locate the numbers as you can see in the image.
