Answer:
Below.
Step-by-step explanation:
f(x)=3x^2-6x-45/x^2-5x
= 3x^2-6x-45 / (x(x - 5))
The denominator is zero when x - 0 and x = 5.
So there will be a vertical asymptote at x = 0 and a hole at x = 5.
If we do the division we get f(x) = 3 remainder 9x - 45
so there will also be a horizontal asymptote where x = 3.
0.8 times 1200 is 960, which is the number of people when the theatre is 80% full.
Answer:
Options 2), 4), and 5) are correct
Step-by-step explanation:
<u>Rock the House Digital Designs</u>
<u>Elegant Home Architects</u>
===========================
<u>Answer options:</u>
1)The expression 50h represents the total charge for Rock the House Digital Designs.
-
Incorrect. Additional $500 charged.
2)The expression 75h represents the total charge for Elegance Home Architects.
3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.
-
Incorrect. They will choose one of the options.
4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
-
Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250
5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
- Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875
Answer:
16 students can sit around a cluster of 7 square table.
Step-by-step explanation:
Consider the provided information.
We need to find how many students can sit around a cluster of 7 square table.
The tables in a classroom have square tops.
Four students can comfortably sit at each table with ample working space.
If we put the tables together in cluster it will look as shown in figure.
From the pattern we can observe that:
Number of square table in each cluster Total number of students
1 4
2 6
3 8
4 10
5 12
6 14
7 16
Hence, 16 students can sit around a cluster of 7 square table.
Answer:
x=4, y=3
Step-by-step explanation:
