We use long division to divide
There is no x term in x^2 -1 so we put 0x
x + 1
----------------------------
x^2+0x-1 x^3+ x^2 + x+ 2
x^3+0x^2-x
-----------------------------(subtract the bottom from top)
x^2 +2x + 2
x^2 +0x - 1
--------------------------------(subtract the bottom from top)
2x + 3
-----------------------------------------
Quotient : x+1
Remainder : 2x+3
Answer:
No, the bid is not correct.
Step-by-step explanation:
One of your employees is bidding on a carpet installation job.
They estimate that it will take 3 hours to install 12 square yards of carpeting.
we know that 1 square yard= 9 square foot.
12 square yard= 12×9 square foot=108 square foot
i.e. it takes 3 hours to carpet 108 square foot.
Hence time taken to carpet 1 square foot= hour
Now the dimension of room is:
11' 6"× 12' 9" i.e. we convert both the units to foot as:
1 foot= 12 inch
11'6"=11+(6/12)=11.5 foot.
and 12'9"=12+(9/12)=12.75 foot.
Hence, dimension of room=11.5 foot×12.75 foot
Hence area of room=11.5×12.75=146.625 square foot.
Time to carpet 146.625 square foot=
hour
=4.0729 hour
But it is given that it takes 12.3 hours to install the carpet.
Hence, the calculations were wrong.