2005= 18,000
2010= 45,000
1) make 2005 year "0", and 2010 year "5"
2)in order to solve this problem and figure out the rate of change, we must use the equation for exponential functions y=ab^x
3) a= the y- value of y intercept ( what does y equal when x is zero) in this case a population number so, a= 18,000; b= the unknown rate of change; x= time and since we're finding b we can plug in 5 for the time in years; y= the value of y in terms of the x-value, so when x is 5, y is 45,000
4) you end up with something like this
45,000= 18,000b^5
5) in order to proceed to solve you must get b alone
6) divide both sides by 18,000
7) so you no have 2.5= b^5
8) take the fifth root of both sides
9) now you have your answer b=<span>1.20112443398</span>
The domain of the function is all real numbers except 2 and -1
Step-by-step explanation:
Domain is the set of inputs of a function on which the function is defined.
Given function is:

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

The function will be undefined on x=-1 and x=2
So,
The domain of the function is all real numbers except 2 and -1
Keywords: Domain, functions
Learn more about domain and functions at:
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Answer:
B.
Step-by-step explanation:
The ratio of Claire's songs to her mother's songs = 3 : 2
A.
3 : 2 = 3/2
9 : 6 = 9/6 = 3/2
12 : 10 = 12/10 = 6/5
B.
3 : 2 = 3/2
6 : 4 = 6/4 = 3/2
15 : 10 = 15/10 = 3/2
C.
3 : 2 = 3/2
4 : 3 = 4/3
5 : 4 = 5/4
D.
3 : 2 = 3/2
4 : 6 = 4/6 = 2/3
20 : 30 = 20/30 = 2/3
The table which shows the correct ratio and two equivalent ratios is B
Answer:
means that ab=c
Step-by-step explanation:
the axis of symmetry is x=2