There are 575 birds in an aviary. Each month, the number of birds decreases by 32. There are 350 trees in the aviary. Each month, 13 trees are added. Part A: Write functions to represent the number of birds and the number of trees in the aviary throughout the months. (4 points)

Part B: How many birds are in the aviary after 3 months? How many trees are in the aviary after the same number of months? (2 points)

Part C: After approximately how many months is the number of birds and the number of trees the same? Justify your answer mathematically. (4 points)

which expression represents the approximate length of bc?

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

2

step-by-step explanation: