34 small boxes for each large box.... I just added 24 and 10
There is no commutative property for subtraction.
There is for multiplication. 3x5 = 15. 5x3=15
To answer this question, we need to know that as x tends to infinity
the exponential values greatly increase with each passing x.
So the exponential values will always be greater than the linear values, as x increases.
Lets see that with an example
Suppose we have
y1 = 2*x
y2 = 2^x
If we evaluate at x = 5, we can see the difference between the two
y1 = 2*(5) = 10
y2 = 2^(5) = 32
If x = 10, the difference becomes even clearer
y1 = 2*(10) = 20
y2 = 2^(10) = 1024
To order the exponential graphs, we need to place ourselves at an specific value of x and check which graphs has the highest corresponding value of y
So the answer to your question, which is to place in descending order according to the value of y:
*green
*orange
*blue
*red
*yellow
*black
You have to use carefully Venn Diagram to solve this problem:
n, here below means number of students
GIVEN
----------
n(Cigarettes) = 645
n(Alcohol) = 859
n(Drugs) = 207
n(Alcohol ∩ Cigarettes) = 397
n(Alcohol ∩ Drugs) = 109
n(Alcohol ∩ Cigarettes ∩ Drugs) = 85
And 274 Students "Clean from any of the above"
Let x be the unknown number, that is n(Cigarettes ∩ Drugs)
Start by drawing 3 intersecting circles, one for Alcohol, another for Cigarettes and the 3rd for Drugs:
1) n( Alcohol ONLY) =859-397-109-85 = 268 (only Alcohol)
2) n( Cigarettes ONLY) =645-397-85 - x= 163 - x (only Cigarettes)
3) n( Drugs ONLY) =207- 109 -85 - x = 13 - x (only Drugs).
(Remember that there are 274 Students clean, not shown in Venn)
Total of students (we need it to solve):
TOTAL n(STUDENT) = Alcohol Alone+ Cigarette Alone+ Drug Alone + 274
TOTAL n(STUDENT) = 268 + (163-x) + (13-x) + 274
TOTAL n(STUDENT) = 718 -2x
(hope you can get the TOTAL n(STUDENT) to be able to find x, which is the
n(Drugs ∩ Cigarettes)
Write in function notation c=12n-100.
Function Notation: f(n) = 12n - 100.
By definition, a function notation is how a function is written. It shows the preciseness of a function in giving information without longer explanation. The most popular function notation is f (x) which is read "f of x".