Marquises has 200 meters of fencing to build a rectangular garden. The gardens area (in square meters) as a function of the garden's width is (in meters) is modeled by A(W)=-w^2+100w What side width will produce the maximum garden area ?

Solution:

Given that,

Where, "w" is the width

Given area is in quadratic form

To find maximum area, we need to find the vertex

From given quadratic,

a = - 1

b = 100

Therefore,

We will get maximum area when width w = 50 meters

To find maximum are we plug in 50 for w and find A(50)

So maximum area is 2500 square meter

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!