2/6 = 1/3
2/5 = 4/10
Hope this helps.
Answer:f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.
Step-by-step explanation:
Answer:
A. 288.62
Step-by-step explanation:
Area of two triangles = 15.3 * 10.4 = 159.12
Area rectangle = hypotenuse triangle * 7
hypotenuse = √108.16 + 234.09
Hypotenuse = 18.5
Area rectangle = 18.5 * 7 = 129.5
129.5 + 159.12 = 288.62
Answer = A. 288.62
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-Chetan K
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
Answer:
Step-by-step explanation:
The function is 
where x is the number of bottles of soda.
The domain means the set of "allowed" x values.
Also, f(x) means the amount of money left, which cannot be less than 0. So we put 0 into f(x) and solve for x:
This means the highest number of bottles you can buy is 10. So the domain is anything from 0 to 10. <em>You can buy 0 until highest 10 bottles. Hence the domain is </em>
