If x < 5 then x - 5 < 0 and |x - 5| = -(x - 5) = -x + 5
8x + 5 - |x - 5| = 8x + 5 - (-x + 5) = 8x + 5 + x - 5 = 9x
Nicole = 8 x Andy ---> N = 8A
N = 48 ---> 48 = 8A ---> A = 48/8 = 6
Two years ago: number of zombies = 4
Last year: 4 + 50% x 4 = 4 + 2 = 6
This year: 6 + (1/3) x 6 = 6 + 2 = ...
Using the quadratic formula with a = 2, b = -6, and c = 7:
x = 3/2 + sqrt(5)/2i or x = 3/2 - sqrt(5)/2i
m = 3/2 n = sqrt(5)/2
Multiply these together to get your answer.
P is the sum of an infinite geometric series with initial term = 1/7 and ratio 1/7.
Using the formula for the sum: sum = (1/7) / ( 1 - 1/7 ), you can get the sum and the answer to the question.
angle(COB) = 50o ---> angle(COA) = 130o
angle(DOC) = ½ angle(COA) = 65o
The sum of the digits must be divisible by 9: 3771
The altitude divides the hypotenuse into two segments, each of length 4.
The area is ½ · 8 · 4 = 16
The x-intercepts are -8 and 1 ---> a distance of 9 (the base)
The y-intercept is 8 (the height)
Area is ½ · 9 · 8 = 36
The first term is 6.
The common ratio if -8/6.
The 205th term is: 6(-8/6)204.