A family with three young children just moved into a house with a yard that is not fenced in. The previous owner gave them 256 feet of fencing to enclose part of their backyard against the house (see image). The quadratic function A
(
x
)
=
x
(
256
−
2
x
)
gives the area,
A
, when
x
is the width used. Find the width that gives the maximum area, and then find the maximum area that can be enclosed.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

7

step-by-step explanation:

-1   1/6.   you dont subtract the denominators

step-by-step explanation: