answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ioda
2 years ago
13

Prove that f(x) = x^3 – 1000x^2 + x – 1 is ω(x^3) and o(x^3).

Mathematics
1 answer:
liq [111]2 years ago
5 0
F(x) = x 3 − 1000x^2 + x − 1

> x3 − 1000x^ 2

= (x − 1000)x^2

> (.9x)x^2

= .9x^3

Therefore, f(x) is Ω(x^3 ) with C = .9, k = 10, 000. Also, for all x > 0:
 
f(x) = x^3 − 1000x^2 + x − 1

< x^3 + 1000x^3 + x^3 + x^3

= 1002x^3

Therefore, f(x) is O(x^3 ) with C = 1002, k = 1. 
You might be interested in
Substituting the equation y = 4x + 1 into the equation 2y = -x – 1 will produce the equation ________.
Zarrin [17]

Answer:

Step-by-step explanation:

Substituting y = 4x+1 into 2y = -x-1 gives the equation

2(4x+1) = -x-1

Solve the equation:

8x+2 = -x-1

9x = -3

x = -⅓

7 0
1 year ago
Read 2 more answers
Recently a study of fans attending the new york mets baseball games was conducted and 500 fans were surveyed. in forming a frequ
Misha Larkins [42]

Relative frequency is the value assigned to each class in the proportion of the total data set that belongs in the class.

Relative frequency formula is :

\frac{class-Frequency}{Total- observations}--------------------(1)

So for class 0 to 5 miles we have 247 fans. So this class frequency is 247.

Total fans surveyed is 500

So plug these values in relative frequency formula given by (1)

relative frequency = \frac{247}{500}

On simplifying we get

relative frequency = 0.494

So choice (c) 0.494 is the right answer

8 0
2 years ago
If one lens increases the size of an image by $80\%$ and another increases the size by $50\%$ by what percent will the image be
son4ous [18]

Answer:

Step-by-step explanation

Look at it this way:

If you increase something by 80 percent, your multiplying it by 1.8. This goes the same way for 50 percent. If you multiply 1.8 by 1.5, you will get 2.7. Then convert 2.7 to increasing something by 170 percent. So the answer is 170 percent.

8 0
1 year ago
Read 2 more answers
Show a way to count from 170 to 410 using tens and hundreds. circle at least 1 benchmark number
Anastasy [175]
Benchmark are numbers that are used as standards to which the rest of the data is compared to. When counting numbers using a number line, the benchmark numbers are the intervals written on the axis. For benchmark numbers of 10, the number line on top of the attached picture is shown. Starting from 170, the tick marks are added by 10, such that the next numbers are 180, 190, 200, and so on and so forth. When you want to find 410, just find the benchmark number 410.

The same applies to benchmark numbers in intervals of 100. If you want to find 170, used the benchmark numbers 100 and 200. Then, you estimate at which point represents 170. For 410, you base on the benchmark numbers 400 and 500.

6 0
1 year ago
Read 2 more answers
The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0
mixas84 [53]
-3000 is correct
Hope this helps :D
7 0
1 year ago
Read 2 more answers
Other questions:
  • the lawn on the lawn order lawn mower Factory can produce 12 lawn mowers in 8 hours how many hours will it take the factory to p
    8·2 answers
  • Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur
    15·2 answers
  • Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom left
    9·2 answers
  • Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides to take a
    12·1 answer
  • the cooper family decided to hike to hillside lake,approximately 8⅝ miles away. after an hour tje lake was still 5⅓ miles away.
    10·2 answers
  • (a) calculate the value of the correlation coefficient between sale price and size. (give the answer to three decimal places.) r
    7·1 answer
  • Two families went to Rollercoaster World. The Brown family paid 170 for 3 children and 2 adults. The Peckham family paid 360 for
    8·1 answer
  • HELP please I’ll make u the brainiest if right
    10·1 answer
  • Consider the three functions: f(x) = Three-halves(4)x g(x) = Three-halves(4)–x h(x) = –Three-halves(4)x Which statements are tru
    10·2 answers
  • Select all the properties that are used below to solve 7y − 15 = −29. 7y – 15 + 15 = –29 + 15 7y = –14 7y7 = –147 y = –2 A. Iden
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!