Answer:
the common ratio is 0.98.
Step-by-step explanation:
A fish population in a lake decreases by 2% each year. We are asked to find the common ratio.
The decrease of population of fish 2% annually means the population becomes next year 100% - 2% = 98%
Therefore, the common ratio would be 98%. Upon converting 98 percent to a decimal we will get,
98% = 
Therefore, the common ratio or decay factor is 0.98.
Using the first equation:
4x = y + 3 ---> y = 4x - 3
We then substitute this into the second equation:
7x - 9(4x-3) = -2 ---> 7x - 9x + 27 = -2 ---> -2x = -29 ---> x = 14.5
Comment
You have to begin by declaring what g(f(x)) means. It means that wherever you see an x in g(x) you put in f(x).
It will look like this to start with
g(f(x)) = (f(x) + 5) / (f(x)
Now substitute into this for g(-3)
g(x^2 + 5) = (x^2 + 5 + 5)/(x^2 + 5) It's time to use some numbers.
g(- 3) = ((-3)^2 + 10)/( (-3)^2 +5)
g(-3) = ( 9 + 10 ) / ( 9 + 5)
g(-3) = (19)/14 <<<<<< answer.
C <<<< answer.
Answer:
x=number of hours
c(x)= 25x+75
y-intercept= (0, 75)
Equation= y=25x+75
Slope= 25
Step-by-step explanation:
75 would be the y intercept(constant) because that's the initial charge for a call.
25 would be the coefficient for x because the hour you spend on the call varies.
The slope is how steep the line is, in this case it is 25.
x is the number of hours because that is the time that varies.
