Answer:
Real numbers are "closed" under multiplication
Irrational numbers are "not closed" under division
Integers are "closed" under subtraction
Positive ration numbers are "closed"
Hope this helps! :)
Answer:
Industries below 50% growth are
Personnel supply services, Warehousing and storage, Water and sanitation, Management and public relations, Business services, Equipment rental and leasing.
Step-by-step explanation:
In the graph percentage change is on the x axis and on the y axis all industries have been mentioned.
All the industries on y axis have the span over x axis representing the growth and salaries.
Out of 10 top industries only four industries have the growth of 50% which is evident from the graph.Those industries are Health Services,Computer and data processing, Cable television services and Residential care. Rest six industries are below 60% growth.So Ella should consider these industries to join.
Answer:
The answer is 2. 2 is the only number that can't change. There is no x or ^.
8x-13
1. Distribute 6 to both 2x and -3
5+12x-18-4x
2. Combine like terms
8x-13
I'll explain how to do the first one:-
y = cos-1(x2)
This can be described as ' a function of a function' x^2 is a function of x and cos-1(x^2) is a function of x^2.
We need to apply the chain rule.
Personally I find this easier to understand if i let u = x^2, so
If y = f(u) and u is a function of x then
dy/dx = dy/ du * du/dx
Here u = x^2 and y = cos-1(u)
du/dx = 2x
so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx
= -1 / √(1 - u^2) * 2x
= -2x / √(1 - u^2)
= -2x / √(1 - (x^2)^2)
= -2x / √(1 - x^4)
I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.