9514 1404 393
Answer:
54 = 2 × 3³
36 = 2² × 3²
Step-by-step explanation:
The term "factors" can mean different things in this context. Usually, it means "prime factors." Exponents are used to indicate the number of times a factor is repeated. The prime factors of these numbers are ...
54 = 2 × 3³
36 = 2² × 3²
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Sometimes, we use the word "factors" to mean "positive integer divisors." The number of divisors is the product of the exponents of the prime factors, each increased by 1. That is, 54 has (2·4) = 8 divisors; 36 has (3·3) = 9 divisors. The odd number of divisors is one indication that the number is a perfect square.
The divisors of these numbers are ...
54 is divisible by 1, 2, 3, 6, 9, 18, 27, 54
36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 36
Twenty is 40% of 50 because 10% of 50 is 5 so 5*4 = 20
Step-by-step explanation:
We are given a set of points (0,3), (4,2), (9,7) and (10,-1) representing a function.
It is required to graph the function and its inverse.
As we know that, the inverse of a function is reflected by y=x line on the graph.
So, in order to find the inverse we have to replace the co-ordinate (x,y) by (y,x).
Then the points (3,0), (2,4), (7,9) and (-1,10) represents the inverse of the function.
So, after plotting all the points of the function and its inverse, we get the following graph, where figure 1 is of the function and figure 2 is of its inverse.
Your f(x)=sqrt[x+8]/(x+4)(x-6) is MUCH clearer, but not 100% clear. I will assume that your denominator here is the product of (x+4) and (x-6):
√x+8)
f(x) = ------------------
(x+4)(x-6)
We cannot divide by zero. Thus, x cannot be -4 and cannot be 6.
Thus, the domain is:
(-infinity, -4) or (-4, 6) or (6, infinity).
