Answer:

Step-by-step explanation:
Please mark as brainliest
Rectangular implies the area to be length times height
let height=x
let width=2 more than the height or Length=2+x
Area=F(x)=(2+x)(x)=2x+x^2
f(x)=x^2+2x
****************To Answer your Additional question
You see the standard price is $100 for any mural, And also charges $40 per square foot.
So to show you the approach, Lets say that a mural of 1 square feet needs to be painted, then the charge will be $100 plus the $40 for every square feet, then it will be 100+40(1 square feet)=$140.
The problem asks for the charge of mural whose area is x, so lets do the same thing.
$100+40(x square feet)=100+40x and that is the function that gives the price of mural with an area of x.
so, g(x)=100+40x
Answer:

Step-by-step explanation:
Given
Perimeter = 8m
Required
Determine its area as a function of length
Represent Length and Width with L and W, respectively;
Perimeter (P) is calculated as thus;

Substitute 8 for P

Divide both sides by 2

Make W the subject of formula

Area (A) of a rectangle is calculated as thus:

Substitute 4 - L for W

Open bracket

Represent as a function

Answer:
(27.3692 ; 44.6308)
Step-by-step explanation:
Mean, xbar = 36
Standard deviation, s = 11
Sample size, n = 12
Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.718 * 11/sqrt(12) = 8.6308
Confidence interval :
Lower boundary : 36 - 8.6308 = 27.3692
Upper boundary : 36 + 8.6308 = 44.6308
(27.3692 ; 44.6308)