Factor and apply the zero product property to each quadratic expressions to find the zeros of the function it defines. (show work)
1. x^2 − x − 12

2. x^2 + x − 12

Answers

Answer 1

Answer:

In the first equation x=4 or x=-3

In the second  equation x=-4 or x=3

Explanation:

The first equation  x^2 − x − 12 can be factorized as follows:

x^2-4x+3x-12

x(x-4)+3(x-4)

x-4=0 or x+3=0

x=4 or x=-3

It is noteworthy that -x was rewritten as -4x+3x in order to solve the equation

The second equation x^2 + x − 12 can be factorized as below:

x^2+4x-3x-12

x(x+4)-3(x+4)

x+4=0 or x-3=0

x=-4 or x=3

It is noteworthy that +x was rewritten as 4x-3x in order to solve the equation


Related Questions

The term “Levels of Management’ refers to a line of demarcation between various managerial positions in an organization. The number of levels in management increases when the size of the business and workforce increases and vice versa. The level of management determines a chain of command, the amount of authority and status enjoyed by any managerial position. Discuss the three (3) broad categories of management level and the implication for organizational success.

Answers

Answer:

There are three broad categories in the levels of management:

Top-level / Administrative level: Includes the board of directors, chief executive or managing director, and is the main authority that sets the goals and policies, focusing on tasks related to make plans and coordinating their execution.

Middle level / Executory: Includes branch and departmental managers. Their tasks are related to organization and direction to execute the plans set by the top management.

Low level / Supervisory / Operative / First-line managers: Includes supervisors and superintendents who commit to organizing and directing operative employees.

Explanation:

As any business requires many different tasks in management and operation, establishing a clear and strong hierarchy of management is essential for organizational success.  

In a survey of employee satisfaction, 60% of the employees are male and 45% of the employees are satisfied. What is the probability of randomly selecting an employee who is male and satisfied?Immersive Reader (10 Points)

Answers

Answer:

The probability of being a male and a satisfied employee is 27%

Explanation:

The probability of being a male P(m) = 60% = 60/100 = 0.6

The probability of being a satisfied employee P(s) = 45% = 45/100 = 0.45

Mathematically, the probability of being a male and satisfied = Probability of being a male * Probability of being a satisfied employee = P(m) * P(s) = 0.6 * 0.45 = 0.27

or simply 27/100 which is same as 27%

in case of distance judgment the brain receives blank from the two eyes

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Answer:

two slightly different images

Explanation:

Question text A hypothesis is

Answers

Answer:

A hypothesis is a suggested explanation made from previous observations that requires someone to test it.

Explanation:

Describe how Geometry is used in Ancient Greek and Roman
Art. Explain two examples from the video.

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Answer:Ancient Greece can feel strangely familiar. From the exploits of Achilles , about the Trojan War and Odysseus (the hero in Homer's The Odyssey), to the treatises of Aristotle, from the exacting measurements of the Parthenon (above) to the rhythmic chaos of the Laocoön (below), ancient Greek culture has shaped our world. Thanks largely to notable archaeological sites, well-known literary sources, and the impact of Hollywood (Clash of the Titans, for example), this civilization is embedded in our collective consciousness—prompting visions of epic battles, erudite philosophers, gleaming white temples.

sources- khan academy

Prices to a concert cost N$200 for an adult and N$150 for a child, the concert venue can accommodate at most 240 people. The organizers are giving a N$20 discount to every adult and N$10 discount for every child but do not want the total discounted amount to exceed N$3200. Draw a graph and use it to answer the following questions: i. How many tickets altogether should the organisers sell in order to maximise their sales amount? ii. How many tickets of each type (adult and child) should they sell to get a maximum sales amount? iii. What is the maximum sales amount the organisers can make? iv. If the profit is calculated as follows: profit = total sales – total discount amount. How much profit will the organisers make from the maximum sales?

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Answer:

might help

Explanation:

Ezine 1 October 2018

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WINNING NUMBERSNEWS BUSINESS SPORT 6 35954263 116SEX g the victim.LAND CONFERENCE file a civil claim against individual po-AIMS FOR CONSENSUS lice officers of the City Police and the The Inspector-General of the Namib-CONSENSUS and not a simple majority will guide the adoption of resolutions of the sec- Namibian Police, the City of Windhoek

what type of Skillet does foreshadowing best help a reader with​

Answers

Answer:

Explanation:

foreshadowing is normally used to create suspense, thrill, or to convey information helping to prepare the feels the events when that will ocuur.

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