The new player's personal time is 4.5 seconds.
<h3>What is the new player's personal time?</h3>
The first step is to determine the total time the 5 persons complete the dash.
Total time = 5 x 5.7 = 28.5 seconds
The second step is to determine the total time for the 6 people to complete the dash.
Total time = 6 x 5.5 = 33 seconds
The third step is to find the difference of the time in the previous two steps: 33 - 28.5 = 4.5 seconds
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Answer:
f(g(x)) = 9x^2 + 15x - 6
Step-by-step explanation:
We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.
Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:
f(g(x)) = (3x - 1)^2 + 7(3x - 1).
If we multiply this out, we get:
f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or
f(g(x)) = 9x^2 + 15x - 6
We can make use of the general formula for the geometric series to generate the function representing the average annual salary.
an = a0(r)^(n-1)
Or
f(x) = a0(r)^(x - 1)
Plugging in the given values for the year 2005 and 2006 to ge the value of r.
82000 = 70000 (r)^(1-1)
r = 1.1714
Therefore, the function is:
f(x) = 70,000 (1.1714)^(x-1)
Answer:
x = -2 & x = 1
Step-by-step explanation:
