Inequalities Using Addition And Subtraction Assignment

Solve for x: Also draw the solution

 

 

1.   X – 4 > 3                                                                         2.   X- 1 <= 3

 

3. x + 7 >= -5                                                                      4. X + 4 < -8

 

5. x – 1 > 9                                                                          6. X  – 2 => -3

 

 

7. x – 17 > 31                                                                     8. x + 16 <=  17

 

 

9. x + 24 < 12                                                                     10. x – 21 => 5

 

 

11. x –  14 > -7                                                                   12. x + 9 <= -12

 

 

13. x + 12 < -5                                                                   14. x – 13 => -33

 

 

15. x + 33 > -7

 

Check to see if your solutions are correct

16. Is x = 3 a solution of: 2x < -2                   17. Is x = -1 a solution of: -2x -2 < -3x -3

 

 

18. Is x = 1 a solution of: -1 -x > 1 + 3x             19. Is x = 4 a solution of: x < -2

 

 

20. Is x = 4 a solution of: 5 < 3x

Discussion

 

The following scenario is based on an actual attack deconstructed at a seminar I attended earlier this year. The names and locations have been removed to preserve the privacy of the organization in question.

Background:

No-Internal-Controls, LLC is a mid-sized pharmaceutical company in the Midwest of the US employing around 150 employees. It has grown over the past decade by merging with other pharmaceutical companies and purchasing smaller firms.

Recently No-Internal-Controls, LLC suffered a ransomware attack. The company was able to recover from the attack with the assistance of a third party IT Services Company.

Attack Analysis:

After collecting evidence and analyzing the attack, the third party was able to recreate the attack.

No-Internal-Controls, LLC has a number of PCs configured for employee training

These training computers use generic logins such as “training1”, “training2”, etc. with passwords of “training1”, “training2”, etc.

The generic logins were not subject to lock out due to incorrect logins

One of the firms purchased by No-Internal-Controls, LLC allowed Remote Desktop connections from the Internet through the firewall to the internal network for remote employees

Due to high employee turnover and lack of documentation none all of the IT staff were aware of the legacy remote access 

The main office has only a single firewall and no DMZ or bastion host exists to mediate incoming remote desktop connections

The internal network utilized a flat architecture

An attacker discovered the access by use of a port scan and used a dictionary attack to gain access to one of the training computers

 

The attacker ran a script on the compromised machine to elevate his access privileges and gain administrator access

The attacker installed tools on the compromised host to scan the network and identify network shares

The attacker copied ransomware into the network shares for the accounting department allowing it spread through the network and encrypt accounting files

Critical accounting files were backed up and were recovered, but some incidental department and personal files were lost

Instructions:

You have been hired by No-Internal-Controls, LLC in the newly created role of CISO and have been asked to place priority on mitigating further attacks of this type.

  • Suggest one or more policies that would help mitigate against attacks similar to this attack
  • Suggest one or more controls to support each policy
  • Identify each of the controls as physical, administrative, or technical and preventative, detective, or corrective.
  • Keep in mind that No-Internal-Controls, LLC is a mid-sized company with a small IT staff and limited budget
  • Do not attempt to write full policies, simply summarize each policy you suggest in one or two sentences.  
  • Clearly indicate how each policy you suggest will help mitigate similar attacks and how each control will support the associated policy
  • 3-5 pages in length.
  • APA format.. citations, references etc…

Inequalities With More Than One Operation

Inequalities Using Multiplication and Division

 

1.         2x + 5 > -5                                                      2. -5x – 2< 5

 

 

3.         -10x – 4 <= – 5                                                 4. 6x + 2 > – 2

 

 

 

5.         4x + 3 > -28                                                     6. -3x – 3 <= 15

 

 

 

7.         -7x – 5 <= 21                                                   8.   4x + 2 > -13

 

 

 

9.         2x + 4 > -4                                                       10. -5x – 3 < -10

 

 

 

11.       (x/2) – 2 > -3                                                   12.  (4/5)x + 3 <= 12

 

13.    (2/5)x + 2 <= 13                                                 14. (-5/3)x – 3 > 15

 

 

15. (-5/2)x – 6 > -10                                                   16. (x/3) + 3 < 5

 

 

17. (x/4) + 2 <= 2                                                       18. (-1/3)x  – 4 => 4

 

 

 

19. (2/3)x – 4 => -12                                                   20. (-x/5) + 4 < -10

Math

 

1.)Show and explain the stepsto Find the range of r(x) if given the function r(x)=5x+2/x-1

Find the range of h(x)=2x+1/x-3

 

1.)Given f(x)=6x^4-10x^3-4x^2

a)State the degree of the given function

b)Find all the zeros of the function and state its graph crosses or touches the x-axis at the zero.

c)Use the sign table to determine  the intervals where graph of y=f(x) lies above the x –axis and where f(x) lies below the x-axis.

d)Sketch the graph of f(x)

 

2)Given p(x)=x^3(2x+1)(x-1)^4

a)State the degree of the given function

b)Find the y-intercept of p(x)

c)Find all zeroes of the function

d)Give the multiplicity of all zeroes (x-intercepts) and state if the graph crosses or touches at the zeroes

e)State the intervals where the graph of p(x) lie above the x-axis

3.)Let f(x)= 1-x^2 if x< equal to 0

                     2x+1 if x >0

A)Evaluate f(-2) and f(1)

b)Sketch the graph

 

4.)Given -|x| if -2< than equal to 1

-x^2 if 1<x<2

if x> equal to 2

Find  a)g(1)b)g(5)

c)domain of g(x)

sketch the graph of g(x)

 

 5.)Given f(x)= -1 if -2<x< equal to 1

Square root x (put x only under the square root)-1 if 1<x<4

3-x if x> equal to 4

 

 Find:a) f(6)

 b)f(-2)

 c)f(1)

 d)Domain of f(x)

 What points to use to Sketch the graph of f(x)

 

 5)state the transformations applied to the graph of f(x)=|x| to obtain the graph of g(x)=-2|x-3|+1

 ii)Sketch the graph.Show and label at least 3 points of transformations used to draw your graph.

 

 Consider the polynomial p(x)=2x^3+x^2-13x+6

a)Show using synthetic division that x=2 is a zero of p(x) (b)then factorize the quotient in a to find the other zeros of p(x)

c)Find the y intercept

f)Sketch the graph

 

discussion reply minimum 50 words, in own words please

1:  The formula for the difference of two squares is a2 – b2 = (a+b)(a-b). To factor 81x2 – 1 you first write it as the difference of two squares. In the expression 81x2 -1, identify a and b; a=9x and b=1. (9x)2-12 is in the form of a2-b2, so replace a with 9x and replace b with 1 in the formula for the difference of two squares.

 

A2 – b2 = (a+b)(a-b)

(9x)2 – 12 = (9x+1)(9x-1)

 

 

 

2:

Squaring a binomial creates a perfect square trinomial: (a + b)2 (a – b)2 (a + b)2 = a2 + 2ab + b2 (a – b)2 = a2 – 2ab + b2

 

 

Factor: x2 + 12x + 36 Solution: Does this fit the pattern of a perfect square trinomial?

Yes. Both x2 and 36 are perfect squares, and 12x is twice the product of x and 6.

Since all signs are positive, the pattern is (a + b)2 = a2 + 2ab + b2. Let a = x and b = 6.

Answer: (x + 6)2 or (x + 6)(x + 6)

 

3:36a^2-60a+25. When factoring a trinomial, the first step is to factor out any common factors. The trinomial, 36a^2-60a+25, doesn’t have any common factors besides 1. The next step is to determine if the trinomial is a perfect square trinomial. A trinomial is a perfect square when two terms, a^2 and b^2, are squares and the other term is 2*a*b or -2*a*b, this term is twice the product of a and b. 36a^2=(6a)^2 and 25=(5)^2 are perfect squares and -60a=-2*6a*5,36a^2-60a+25, is a perfect square trinomial. A perfet square trinomial of the form a^2-2ab+b^2 is factored as (a-b)^2.  36a^2-60a+25=(6a)^2*5+5^2= (6a-5)^2

 

 

 

 

 

 

Inequalities Using Multiplication and Division

Inequalities Using Multiplication and Division

 

1.         2x > -5                                                                        2. -5x < 5

 

 

3.         -10x <=            – 5                                                       4. 6x > – 2

 

 

 

5.         4x > -28                                                           6. -3x <= 15

 

 

 

7.         -7x <= 21                                                        8.   4x > -13

 

 

 

9.         2x > -4                                                             10. -5x < -10

 

 

 

11.       (x/2) > -3                                                         12.  (4/5)x <= 12

 

13.    (2/5)x <=            13                                                        14. (-5/3)x > 15

 

 

15. (-5/2)x > -10                                                         16. (x/3) < 5

 

 

17. (x/4) <= 2                                                             18. (-1/3)x => 4

 

 

 

19. (2/3)x => -12                                                        20. (-x/5) < -10

Regression equations

Regression equations are created by modeling data, such as the following:

Profit = (Cost Per Item × Number of Items) – Constant Charges

In this equation, constant charges may be rent, salaries, or other fixed costs. This includes anything that you have to pay for periodically as a business owner. This value is negative because this cost must be paid each period and must be paid whether you make a sale or not.

Your company may wish to release a new e-reader device. Based on data collected from various sources, your company has come up with the following regression equation for the profit of the new e-reader:

Profit = $0.15 × number of e-readers sold – $28

Or, assuming x = the number of e-readers sold, this would be the same regression equation:

Profit = 0.15x – 28

In this case, the values are given in thousands (i.e., the cost of making an individual e-reader will be $150 [0.15 × 1,000], with $28,000 [28 * 1,000] in constant charges).
Answer the following questions based on the given regression equation:

Using the graphing program that you downloaded, graph the profit equation. Discuss the meaning of the x- and y-axis values on the graph. (Hint: Be sure to label the axis) 
Based on the results of the graph and the profit equation provided, discuss the relationship between profits and number of e-readers produced. (Hint: Consider the slope and y-intercept.)
If the company does not sell a single e-reader, how much is lost ? Mathematically, what is this value called in the equation?
If the company sells 5,000 e-readers, how much will the company make (or lose)?
If profit must equal 100 thousand, how many e-readers will your company need to sell? (Round up to the nearest e-reader.)
If your company is hoping to break even, how many e-readers will need to be sold to accomplish this? (Round up to the nearest e-reader.)Please submit your assignment.

MATH222 WK5

  1. Relations and Functions
     
    In this discussion, you will be assigned two equations with which you will then do a variety of math work having to do with mathematical functions. Read the following instructions in order and view the
    example to complete this discussion. Please find the two equations assigned to you in the table below:
     

If the last letter of your last name is

On pages 708 – 711, solve the following problems

A or B

22 and 30

C or D

24 and 32

E or F

26 and 34

G or H

28 and 36

I or J

12 and 46

K or L

14 and 48

M or N

16 and 50

O or P

18 and 52

Q or R

20 and 54

S or T

2 and 56

U or V

4 and 58

W or X

6 and 60

Y or Z

8 and 64

  1.  
    • First, graph your functions so you can clearly describe the graphs in your discussion. Your graph itself is not required in your post, although the discussion of the graph is required. Make sure you have at least five points for each equation to graph. Show all math work for finding the points.
    • Mention any key points on the graphs, including intercepts, vertex, or start/end points.  (Points with decimal values need not be listed, as they might be found in a square root function. Stick to integer value points.)
    • Discuss the general shape and location of each of your graphs.
    • State the domain and range for each of your equations. Write them in interval notation.
    • State whether each of the equations is a function or not giving your reasons for the answer.
    • Select one of your graphs and assume it has been shifted three units upward and four units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.
    • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.):
       
      • Function
      • Relation
      • Vertical Line test
      • Transformation
  2. Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7. 

Assignment

One of the most important things I hope you will take away from this class is an understanding of the layered and interconnected nature of events taking place in our world. For this assignment, students will be asked to find three news articles over the course of the semester from credible sites that cover specific events happening on various scales (local, regional, national, global). For example, you may find an article on a wildfire in California, or an impending decline of the world’s chocolate supply. 

 

For each of the three assignments, you will be asked to: 

 

1.) Clearly and thoughtfully summarize the article. What’s happening? Where?  And, according to the article, WHY is this occurring? 

 

2.) Next, draw upon at least two additional sources (news or journal articles, websites, the textbook if relevant) to more deeply investigate the geographic forces or processes involved. The key is to situate a specific event/issue within a broader geographic understanding, digging deeper into the underlying factors and interconnections. 

 

 

For example, an article from Global News titled “Are We Running Out of Chocolate and Wine?” states that by 2030, the global demand for cocoa will exceed the supply. The article links this specific issue to “disease, drought, rapacious new markets and the displacement of cacao by more-productive crops such as corn and rubber.” After summarizing the article and explaining why this is occurring according to the article, find at least two additional sources that help you to better understand and then explain the underlying contributing issues. Use them to dig deeper, considering how something relatively specific (like the global cocoa supply) is linked to broader environmental, political, social, cultural and/or economic issues. 

 

You might find, for example, an article exploring the related environmental issues (i.e. a GlobalPost article titled “Why climate change could mean the end of chocolate”) and another looking in more depth at the displacement of cacao by more-productive crops (i.e. The World Cocoa Foundation’s website includes a page listing the challenges to growing and selling this crop). 

 

3.) Finally, think critically and reflect on this issue and what you’ve learned about it. How does your investigation demonstrate the interconnections between people, places and/or processes? How are relatively specific events situated within broader geographic issues, or how might it affect other people and places? What major global issues are at work in this specific incidence? How is an economic issue, let’s say, also tied to politics, environment, culture? Did anything surprise you? Concern you?

 

An example Current Event Assignment is posted on D2L along with the assignment write-up and rubric. Papers should be double-spaced, articles should be current (published within the month of due date) and sources should be cited both in-text (ex: Knox & Marston 2012, 17) and in a reference list at the end of the paper (please use APA style, a citation guide is posted on D2L). Be sure to include links to online articles, websites cited, etc. in your works cited list. 

 

 

HINT: There should be a minimum of three sources properly cited (the original article and at least two supporting sources). Assignments should be between 400 and 650 words. Please include a word count (not including reference list) at the top of your paper.

 

In addition to these three articles, keeping up with current events by reading one or more credible news sources regularly will immensely help you apply what you are learning in class, cultivate your geographic lens and enhance your understanding of what is happening in our interconnected world.

asd

As a Clinical Mental Health Counseling (CMHC) counselor, I may experience limitation in my scope of counseling as a method of relieving distress. In this case I will resort to the other known grounds for intervention that would also be helpful to the client. I would engage the client concerning these alternative grounds .for my peer who has a limitation in the extent of his professional competence, my reply would be that he ensures that he is always aware of developments in the clinical medical counseling field. He should be engaged in regular practice and have training that is periodic aimed at refreshening.The training should be in terms with the principles of continuing professional development. A great lesson from this discussion that would help in dealing with my limitations is that I should not at any moment make claims of my competence or training that are false. I should at all time check on my professional functioning and in the case of any doubt, look for help where the needs of my clients differ with my daily ability to deliver (clinical mental health counselling, 2016).

Characteristics and behavior of CHMC counselors are as follows: flexible; they recognize the dynamic professional and interpersonal environment and are able to adjust their response to changes. In the case they are directed, they are able to adjust their own response accordingly. They have awareness of their impact on others. They therefore are cautious concerning their words and actions and how they impact other people. They use the feedback from their actions and words to better their advice (clinical mental health counselling, 2016).

CMHC counselors recognize their role amidst a situation and engage the problem solving efforts they have. They accept personal responsibility. They welcome criticism from other people concerning their professionalism. They take up their mistakes and use them for improvement. They are ready to accept feelings of other people and acknowledge them. They pay attention to considerations that are legal and ethical. They therefore handle the clients in a personal and-professional way. They are sensitive to diversity and ensure their clients are safe to the best level. They are confidential with the clients(Gladding, Newsome & Gladding, 2010).

On evaluating my characteristics and those of my peers, the strength that comes out is our sensitivity to diversity. This would be of great help to us in ensuring the best is attained concerning our counseling. My limitation is scope of counseling and in this case I will always check on other available methods with the involvement of client.