Commutative and Distributive. And also MDAS for basic operations
Commutative Property is the property in which you can move around numbers in numerical operations like, addition and multiplication while retaining their result. In contrast to subtraction and division in which position is an important factor for every result, here it is regardless. Why might you want to use this property?<span>Well, most importantly it suits the operation of addition and hence, to ensure the arrangement of the number is in symmetric proportion to its counterpart such as 3 + 2=2 + 3. Or rather, understanding that the equations in both sides are but the same and equal in sum. Thus, this is much more usable or will make more sense if used in a larger scale of complex equations and integers.<span>
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Distributive Property by allotting: 2(3) x 107 = 642<span> </span>
I don't like dividing polynomials so I'm going to set x=1 and try them out.
(1-2-14+3)/4 = -3
Of the choices, only D gives -3 when x=1
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That's as much test-taking as math. If we were to divide
x^2 - 5x + 1
-------------------------------
x + 3 | x^3 - 2x^2 - 14x + 3
x^3 + 3x^2
-5x^2 - 14x
5x^2 + 15x
x + 3
x + 3
More work, still choice D
Answer:
1.1289 grams ( approx )
Step-by-step explanation:
Since, the final quantity of an element which has half life of n periods,

Where,
P = initial quantity,
t = total number of periods,
Here, A = 1 gram, t = 1000 years, n = 5715 years,
By substituting the values,

( using calculator )
Hence, the initial quantity would be 1.1289 grams ( approx )
Hello from MrBillDoesMath
Answer: + 4/7, 6 (13/14)
Discussion:
Let L be the larger of the two numbers and S the smaller of the two. Then the first sentence translates into this:
-6L - L = -4 =>
-7L = -4 => (divide both sides by -7)
L = - (-4)/(-7) = + 4/7 (*)
The second sentence translates to
2 (L + S) = 15 => (divide both sides by 2)
(L +S) = 15/2 => (subtract L from each side)
S = 15/2 - L = 15/2 - 4/7 (using (*) above)
So
S = 15*7/(2*7) - (4*2)/(7*2) (combine over common denominator of 14)
S = 105/14 - 8/14 = 97/14 = 6 13/14
Something is crazy here! While 2(L +S) = 15 -- check it out -- our larger number L ( =4/7) is actually smaller than the S number (6 13/14)! Maybe I should have called them Y and X, respectively, as you suggested!
Thank you,
Mr. B
Answer:
2
Step-by-step explanation: