But it decides to build a square room for his movies and music collection if the area of the room is 16 X squared -24X +9 ft.² what is the length of the one side of the room

The length of the one side of the square room(a) = (4x - 3) ft

Step-by-step explanation:

Given,

The area of the room = 16 - 24X  + 9

Let 'a' be the length of the one side of the room.

To find, the length of the one side of the room(a) = ?

We know that,

The area of the square =

Where, a is the side of the square

∴ = 16 - 24X  + 9

⇒ = - 2(4X)(3)  +

Using the algebraic identity,

⇒ =

⇒ a = (4x - 3) ft

∴ The length of the one side of the square room(a) = (4x - 3) ft

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

the homeowners insurance cost for a 115,000 wood frame house is 80,500.

step-by-step explanation:

it is given that the coverage rate for wood frame house is 0.7.

the value of wood frame house is 115,000.

.

homeowners insurance cost for a 115,000 wood frame house is

therefore the homeowners insurance cost for a 115,000 wood frame house is 80,500.