There is some ambiguity here which could be removed by using parentheses. I'm going to assume that you actually meant:
x-3
h(x) = ---------------
(x^3-36x)
To determine the domain of this function, factor the denominator:
x^3 - 36x = x(x^2 - 36) = x(x-6)(x+6)
The given function h(x) is undefined when the denominator = 0, which happens at {-6, 0, 6}.
Thus, the domain is "the set of all real numbers not equal to -6, 0 or 6."
Symbolically, the domain is (-infinity, -6) ∪ (-6, 0) ∪ (0, 6) ∪ (6, +infinity).
Answer:
The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4
Step-by-step explanation:
The parameters given are;
Proportion of the box of chocolates that contain nuts = 1/5
Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5
Therefore, we have in a box of chocolates with five chocolates;
The number of chocolates that contain nuts = 1
The number of chocolates that do not contain nuts = 4
Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.
Hunger games or go with the person’s favorite movie or show :)
Answer:
Rate of change = 4,06 f/min
Step-by-step explanation:
The ascendent length 28 9/10 = 289/ 10
The time for that ascendent maneuver is total time 17 1/8 minutes - spended time in the elevation 10 minutes, then
17 1/8 = 137/8
137/8 - 10 = ( 137 - 80 ) /8 = 57/8 minutes
The rate of change in the diver´s elevation is
289 / 10 / 57/8
Rate of change = 289*8/ 57*10
Rate of change = 2312 / 570 ft/min
Rate of change = 4,06 f/min
Answer:
s=-4
Step-by-step explanation:
- combine like terms on each side and get 3s-12=6s
- subtract 3s from both sides to get -12=3s
- divide both sides by three and get s=-4
