You are opening a restaurant. in the figure, the dining area of the restaurant is rectangle jklm. each unit in the coordinate plane represents 1 foot.

the points are j(3,30) k(33,30) l(33,0) m(3,0)

part a. find the area a of the dining area.

a= ft2

part b. a local fire safety code recommends seating no more than one person per 15 square feet. find the maximum number of people the restaurant should seat in the dining area.

maximum number of people:

a.

b.

Step-by-step explanation:

The rectangle JKLM is attached, where each unit in the coordinate plane represents 1 foot.

a. You cab ibserve in the figure that the dimensions of the rectangle are:

by

Threfore, in order to calculate the area of the dining room, you can multiply these dimensions.

Then, this is:

b. Then, in order to find the maximum number of people the restaurant should seat in the dining area (according to the recommendation from the Local Fire Safety) you need to divide the area of the dining room by 15 square feet.

Therefore:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0