(x)(2)+(x+20)(4)=3502x+4x+80=3506x+80=3506x+80-350=2706x+270/6=45 rate of bus45+20 = rate of train
1) given function
y = - 2 ^ ( -x + 2) + 1
2) domain: domain is the set of the x-values for which the function is defined.
The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.
3) x-intercept => y = 0
=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1
=> - x + 2 = 0 => x = 2
The x-intercept is x = 0
4) y-intercept => x = 0
=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2) 1 = - (2)^(2) + 1 =- 4 + 1 = - 3
=> The y-intercept is - 3
5) limit when x -> negative infinite
Lim f(x) when x -> ∞ = - ∞
6) limit when x -> infinite
Lim f(x) when x - > infinite = 1
=> asymptote = y = 1
7) range is the set of values of the fucntion: y
Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1
Range (-∞,1)
Answer:
2/255
Step-by-step explanation:
In total, there are 18 books on the shelf.
The probability that person A will pick a novel is 6/18 = 1/3
There are now 5 novels and 17 total books on the shelf
The probability that person A then picks a mystery is 4/17.
There are now 3 mysteries and 16 total books on the shelf.
The probability that person B then picks a mystery is 3/16.
There are now 2 mysteries and 15 total books on the shelf.
The probability that person B then picks a poetry book is 8/15.
The probability that all these events occur back to back is the product of their individual probabilities. Therefore, the probability is:
1/3 * 4/17 * 3/16 * 8/15 = 2/255
