Answer:
maximum value at (- 1, 6 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then minimum value
• If a < 0 then maximum value
y = - (x + 1)² + 6
with (h, k) = (- 1, 6 ) and a = - 1
Thus vertex = (- 1, 6 ) and is a maximum
A) Now look, in the year 2000, the population is 118,000
In the year 2006 is 138,000
To find the percent change |Original Amt - New Amt| -------------------------------- x100
Original Amt
So for this question you would do 118,00 - 138,000 (ignore the negativesss)
and you get -20,000 (ignore the negatives) and then you get 20,000
Now, you have to do 20,000 divided by 118,000 x 100
20,000 divided by 118,000 and you get 0.169491525
Now you have to multiply 0.169491525 by 100
0.169491525 x 100 = 16.9491525
Round this and you get a 16.9% change.
b) To predict the population in 2012 you will have to do 138,000 + 16.9%
To calculate this you have to do this:
138,000 x 0.169 = 23322
Now add 23,322, to 138,000 and you get 161,322.
A) 16.9%
B) 161,322
hope this helped :)
I do not have answer for this question looking for help.
Circumference of a circle = 2pir
2pi(5) = 10pi