>>1st one- at X=0 Y=DNE so the function is not continious.
>>2nd one- there is Y value for every X so the function is continious.
>>3rd one- there is Y value for every X so the function is continious.
>>4th one- f(-1)=1 does not equal the limit of f(x).
because the limit as X aprroaches from the left and from ther right is different.
A simpler form of this expression would be 19y-9
Answer:
0.5158
Step-by-step explanation:
The exponential decay of a given material is used to describe the process by which a material decreases in size and amount over a specific period of time. The material will decay with respect to its decay factor. Therefore, if the 10-hour decay factor is approximately 0.2661, the 5-hour growth/decay factor will be: (0.2661)^(5/10) = (0.2661)^0.5 = 0.5158.
Answer: The answer is (x+2)(x-4)(x-4)
Or as a short form you can write it as 
Step-by-step explanation:
Answer is very lengthy but I am 100% sure that's the correct answer
Answer:
It depends, see answer below
Step-by-step explanation:
By arithmetic, we refer to the elementary operations between numbers. You can build the integer, rational, real and complex number systems from the natural numbers, so it is enough to obtain arithmetic for natural numbers.
In the axiomatic formulation of natural numbers, you assume that there exists a non empty set N such that multiplication and addition are defined in N with the commutative, associative, distributive and modulus properties. If you take this approach, you need all of the above: Numbers exist, Multiplication, Addition.
A different approach is the following: assume the Peano axioms: The set of natural numbers exists, and it obeys an inductive structure (without going in further details, every natural number has a unique sucessor, and mathematical induction is valid). You can define addition and multiplication inductively, so in this case you only need to assume that numbers exist.
