Farmer Joe wants to fence in a rectangular area that has one side bordered by a stream. If he has 80 meters of fencing, what are the dimensions and the maximum area he can enclose? The area of the fenced area can be found using the formula A = lw where l represents the length and w represents the width.

(1st part) Substitute in the formula and simplify to find the function to find the maximum area. Show your work below.

(2nd part) Find the value of x which is the value of the width. Be sure to show each step of your work including simplification.

(3rd part) Substitute into 80 - 2x and simplify to find the value of the length. Show your work below.

(4th part) Substitute x = 20 into the function A = 80x – 2x^2 to find the maximum area. Show your work below.

(5th part) The conclusion is that the dimensions of the fenced area will be ___ meters by ___- meters and the maximum area of the fenced region is square meters.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

the speed is   miles per hour > is false

step-by-step explanation:

we know that  

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

for the point

substitute the values of x and y

the linear equation is equal to

statements

case a) it takes hours to go miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct

case b) the speed is   miles per hour

the statement is false

because the speed is

case c) the unit rate for the trip is

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took minutes to go the first miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct