The required function of the situation is f(x) = 2670x.
Step-by-step explanation:
Given,
Population is = 3000
Evert year it is decreased by 11%.
To find the function of the given situation.
Formula
If the original population is a and is decreased by b% the population after 1 year will be a×
After x year the population will be = a××x =
Now,
Let after x years the population will be,
f(x) = 3000x×
= 2670x
Hence,
The required function of the situation is f(x) = 2670x.
The denominator cannot equal zero.
7 - 8x ≠ 0
7 ≠ 8x
Answer: is not in the domain
The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have . Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w.
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!