Question

A rectangular box is twice as long as it is wide. The height of the box is 3 feet less than the width. If the box is x feet wide, what polynomial represents its volume in cubic feet?

a. b.
c. d.
What is the common difference in the sequence 8, 16, 24, 32, . . .?
a. 24
b. 16
c. –8
d. 8
The floor of a rectangular room will be tiled with square tiles that measure 3 inches on each side. The room is 109 inches long and 103 inches wide. ...

Answer 1

L is 2 times width
L=2W
heigt is 3 less than width
H=W-3

if W=x

V=??
V=LWH
W=x
L=2x
H=x-3
V=(2x)(x)(x-3)
V=(2x^2)(x-3)
V=2x^3-6x^2




common difference is the nth term minus the n-1 term
basically a term minus the one before it
16-8=8
common differnce is 8




how many tiles
find area of room
area of room=109*103=11227
area of tile=3^2 since it is asquare or 9
areaof1tile times how many tiles=areaofroom
9*howmany=11227
divide both sids by 9
how many=1247.44444
round up so you have enough (since you can't buy 0.4444 tiles)
how many=1248

1248 tiles

Answer 2

Hello,

1)
x= the width
2x=the length
x-3= the height

V=x*2x*(x-3)=2x^3-6x²

2)
16-8=8
24-16=8
32-28=8
difference=8
answer D

3)
a) if you put the squares side by side horizontaly you will need 37*34=1258 squares (for a perfect job)
b) or 109*103/9≈1248 squares (cutting squares)