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 typical number of courses to finish a major is:
O A. 12.
O B. 15.
O C. 10.
D. 22.

Answers

22

i think, not sure. sorry if im wrong :/
Answer:

D - 22 courses.

Why are Neptune's years so long compared to Earth?

Answers

Answer:

Neptune’s axis of rotation is tilted 28 degrees with respect to the plane of its orbit around the Sun, which is similar to the axial tilts of Mars and Earth. This means that Neptune experiences seasons just like we do on Earth; however, since its year is so long, each of the four seasons lasts for over 40 years.

Explanation:

Answer:because the earth is closer to the sun

A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $8.60 per pound should be mixed with 25 pounds of trail mix costing $3.20 per pound to create a mixture worth $4.74 per pound.

Answers

Answer:

Let c = the pounds of chocolate needed.

The weight of the snack mix is c + 13.

16.2c + 4.1(13) = 9.65(c + 13)

16.2c + 53.3 = 9.65c + 125.45

6.55c = 72.15

c = 11 lbs

Explanation:

If i have 9 credits and im in 10th grade, will it be possible to achieve enough credits to make it to 12th grade? how many credits do i need, how do i get credit recovery...
THIS IS A REAL LIFE QUESTION

Answers

ok so two things, def a question for your high school counsler! seek them out and make an appointment to go over this with real answers. every high school/state has different high school graduation requirements. but if your a sophomore i think you have plenty of time to make up any credits by taking summer classes so no worries!

Yes you do that’s just about makes it

can denel be regarded as a monopoly in South Africa

Answers

Answer:
Yes
Explanation:
Currently it is a the only manufacture of defense and aerospace's
in south Africa. They can not be regarded as a normal consumer orientated company, because of the nature of its core business, things that other consumer products and services are not capably of or intended to do. Privatization does not end a company's monopoly our use it at the expense of the consumer.

Select the correct answer.
Which unit is part of the SI system?

Answers

Answer:

Second (symbol s, the unit of time)

Metre (m, length)

Kilogram (kg, mass)

Ampere (A, electric current)

Kelvin (K, thermodynamic temperature)

Mole (mol, amount of substance)

Candela (cd, luminous intensity)

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean 163 days and standard deviation 12 days. What is the probability that a randomly selected pregnancy lasts less than 159 days

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with

Answers

Answer: I have to answer five question

Explanation:

Based on the passage, which choice best describes the relationship
between Mr. and Mrs. Ambrose? Mr. Ambrose feels that

A.his wife isn't dressed appropriately for the city.
B.she has a pain that is greater than his.
C.she is the cause for the boys tormenting him.
D.he will never be able to console his wife.

Answers

The relationship between Mr. and Mrs. Ambrose can be gotten by looking at the tone used during their conversations and their characterization.

How to explain the information

It's impossible to determine the relationship between Mr. and Mrs. Ambrose or which choice best describes their relationship.

It's important to consider various factors such as their behavior towards each other, how they communicate, their body language, their history together, and the context of their interactions to better understand their relationship.

An overview was given based on the information.

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Những tiềm năng của bóng đá Việt Nam trong tương lai

Answers

Explanation:

hi good morning dear ......

Given:
2(x + y) = 3y + 5 and 3x + 2y = -3
Which of the following equations below can be used to solve the system of equations above ?

Answers

Where's the "equations"?

Assume that thermometer readings are normally distributed with a mean of 100o F and a standard deviation of 0.15o F. a) Draw and label a sketch of the normal distribution of the thermometer readings. Include all pertinent data for the distribution b) A thermometer is randomly selected and tested. Find the probability that the thermometer reads between 99.86o F and 100.07o F. Draw a sketch of the distribution and shade the probability. Write out any calculator commands that you used.

Answers

The parameters of the normal distribution of the thermometer readings are its mean and the standard deviation

The probability that a thermometer reading is between 99.86o F and 100.07o F is 0.5403

The sketch of the normal distribution of the thermometer

The given parameters are:

Mean, μ = 100Standard deviation, σ = 0.15

Next, we draw the normal distribution using a graphing calculator.

See attachment for the sketch of the normal distribution of the thermometer

The probability that a thermometer reading is between 99.86o F and 100.07o F

This means that:

x = 99.86 and x = 100.07

The probability is calculated as:

P(99.86 < x < 100.07) = P(x > 99.86) - P(x < 100.07)

Using the attached graph, we have:

P(99.86 < x < 100.07) = 0.5403

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Assume that thermometer readings are normally distributed with a mean of 100o F and a standard deviation

Which three of the following words have similar meanings?
impracticable
conceivable
unrealizable
viable
preposterous

Answers

The three words that have similar meanings are:

1. Impracticable: refers to something that is not possible in practice or is difficult to carry out.
2. Unrealizable: refers to something that cannot be realized or achieved.
3. Preposterous: refers to something that is ridiculous, absurd, or outrageous.

The two words that do not have similar meanings are:

1. Conceivable: refers to something that can be imagined or believed.
2. Viable: refers to something that is feasible, workable, or capable of succeeding.

Forests when left to thrive form a _______, that remove carbon dioxide from there air.

Answers

Answer:

Hello! Your answer would be, photosynthesis.

Explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

What is p at the point of equilibrium, to the nearest tenth?
a. 19.3
b. 16.5
C. 13.4
d. 12.0
Please select the best answer from the choices provided

answer: C

Answers

Answer:

19:3

Explanation:

bdb f c dsns v s dv jbj t h h b fndn h f

Photosynthesis is used to produce food for plants Plants are called to be heteroph, meaning they eat their food What do plants produce photos A: ygen only lucose and oxygen glucose and carbon dioxide​

Answers

Answer:

dioxid

Explanation:

design brief for a new conference centre​

Answers

Answer:

Explanation: Introduction

A convention center is a large building that is designed to hold a convention, whereindividuals and groups gather to promote and share common interests. A convention centertypically offers sufficient floor area to accommodate several thousand attendees. Very largevenues, suitable for major trade shows, are sometimes known as exhibition halls. Conventioncenters typically have at least one auditorium besides exhibition halls, and may also containconcert halls, lecture halls, meeting rooms and conference rooms.

Types

1. Meeting facilities with lodging: hotels that include their own convention space in additionto accommodation and other related facilities, known as convention hotels.

2. Meeting facilities without lodging: are convention centers that do not includeaccommodation; usually located adjacent to or near a hotel(s).

3. Other: any convention and meeting facilities designed to hold large numbers of people.Can exist alone (e.g., stadiums, arenas, parks, etc.) or within other structures (e.g.,university lecture halls, museums, theaters). Usually do not include accommodation.

Context

Trade fairs, Conventions and Exhibitions has been playing vital and emerging role in this era. Inpromotion of any type of product and services, exhibitions have proved to be an intensivemethod to reach towards the customer. The social forms of

Hatt-Bazzar  andMelaPaat , lotsof cultural street programs occurring on open"dabalis"  mark the beginning of exhibition inNepal. In this context, in 1992 Nepal's First Commercial Exhibition had been organizedby “House of Raj Karnicar” , and visitors welcoming it showed vastinterest . Since then, these kinds of commercial trade fairs are increasing year by year. Hence,from past few years, exhibitors, event organizers and even customers are seeking theneed of an international standard Exhibition/Convention Center in order to enhance thepromotion of exportable products.Nepal, having a rich natural beauty and temperate atmosphere, wide range ofmultinational companies and exhibitors are willing to arrange international level trade fairs,conferences and similar events from past few years. But due to lack of proper managementand location/facilities, there is a threat of loss of this charm.

Nas is conducting his parents find out the fraction of people who blackout from GeForce is greater than six in early study population proportion was estimated to be 0.36 how large of a sample would be required in order to estimate the fraction of people who black out and six or more G force is at 80% the level of air most 0.04 round your answer to the next integer

Answers

Answer:

Give me a glass of water,?

how can reflecting on your past while planning for future help you enhance your career

Answers

Answer:

when you reflect back on the past you can learn from your mistakes and take knowledge you knew before

Explanation:

Answer:

I think that reflecting on your past while planning for your future will help enhance your career because if you think back on mistakes or even possible tips you'll learn how to use those tips or mistakes better on in the future making it possible to have a better career.

Explanation:

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answers

Answer:

x² + (y - 3)² = 36, and x² + (y +8)² = 36

Explanation:

equation of a circle is (x - a)² + (y - b)² = r²

where a is the x-coordinate in centre of circle, b is is y-coordinate in centre of circle and r is the radius of the circle (half of diameter).

if our circle lies on the y-axis then its x-coordinate must be 0.

just x², no ( x - a)².

if its diameter is 12, then its radius is 6.

in formula, r² must me 6² = 36.

only the first and last equations in the questions match this criteria.

that is, x² + (y - 3)² = 36, and x² + (y +8)² = 36.

how do you know when you are right about something

Answers

Answer: Um tbh if you have a gut feeling about something, believe that because 9/10 its right, and you have no doubt your right like for example if someone asks you what's today and you say Wednesday, and they say no it's Thursday and you go back and forth because you know for a fact that today is Wednesday.  Hopefully that helps in someway.

Explanation:

When you've found something that's right for you, you have absolutely no doubt. You're instantly and continuously in the flow. You move forward without hesitation and questions.

What is your thoughts on the Daybell case

7-8 sen.

Answers

Answer:

it was intence

Explanation:

How is a ratio table used to graph equivalent ratios?

A. Find the value of each ratio as a fraction and plot the fractions on a number line.
B. Find the differences of the values in the ratio table and plot the differences on a number line.
c. Use the values in the ratio table to write coordinate pairs for the points on the graph.
D. Use the equivalent ratio in lowest terms to plot the numerator on the x-axis and the denominator on the y-axis, then connect the two points

Answers

C. Use the values in the ratio table to write coordinate pairs for the points on the graph.

Suppose the following pairs of points are points on a linear graph. Find the slope and -intercept of
the equation that would model the linear relationship.
(−5,5) (5,2)

Answers

Answer:

y = (-3/10) + 7/2

in decimal,

y = -0.3 + 3.5

Explanation:

Equation of a line in slope-intercept form is

y = mx + b

m = slope  = rise/run = (y2-y1)/(x2-x1) for any two points (x1, y1) and (x2, y2)

b is the y-value where the line intercepts the y-axis and is the value of y when x = 0

We have two points (−5,5) (5,2)

So m = (2 - 5)/( 5 - (-5) ) = -3/(5 + 5) = -3/10

So equation of line is

y = (-3/10)x + b

Plug in one of the points into this equation to find b

Take point( 5, 2)
We get

2 = (-3/10)(5) + b

2 = -15/10 + b

2 = - 3/2 + b

Add 3/2 to both sides

2 + 3/2 = b

or

b = 2 + 3/2 = 4/2 + 3/2 = (4+3)/2 = 7/2


So equation of line is
y = -3x/10 + 7/2

In decimal,

y = -0.3 + 3.5

Next year's value of a certain quantity is 108% of last year's
value.
Which of the following can you conclude?

Answers

Answer:

nothing

Explanation:

you did not lust the options that followed the question

Why is Program Increment (PI) Planning itself considered a short-term win?

Answers

Answer: See explanation

Explanation:

Program Increment Planning is refered to as the biggest and most vital event in a Scaled Agile Framework. The Program Increment Planning is vital as it ensures that the direction and the activities for the team is set.

PI planning ensures that outputs are captured and thus include the issues, risks, dependencies, PI objects, and retrospective. It's considered a short-term win air to he fact that it brings about a clear commitment to goals.

the sides of a triangle are 4, 8 and 10. If the longest side of a similar triangle measures 30, find the shortest side.

Answers

The length of the shortest side of a similar triangle is 12 cm. This can be calculated through corresponding parts of similar triangles or known as CPST.

Similar Triangles have the following features:

They have equal angles.

The ratio of corresponding sides is equal

Dimensions of the original triangle are 4 * 8 * 10

Therefore, the ratio of the longest side of both triangles is = 10 : 30

= 1 : 3

The ratio of the shortest side also equals 1 : 3

Shortest side in the original triangle = 4 cm

Let the shortest side of the similar triangle be x

Therefore, the ratio of shortest sides = ratio of longest sides

4 : x = 1 : 3

\(\frac{4}{x} =\frac{1}{3}\\ x=4*3\)

x = 12cm

Thus, the length of the shortest side is 12 cm

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6. Given a data set: 5, 10, 23, 21, 11, 6, 3, 3
What is the interquartile range of this data?
F. 7
G. 8
H. 9
J. 10
K. 12

Answers

The answer is 10, it would be from 8 to 18

What is a reasonable approximation of 7π ?

Answers

7pi could most accurately be approximated to 22 or 21.99

Where are you most likely to notice advertisement? What causes them to catch your attention?

Answers

Answer:

Circus.

Explanation:

Because if we go circus then our mind goes to the stund of Circus.

To the Zoo I think lol

When can a bank repossess someone's car?


when the owner defaults on the loan payments


when the owner gets into an accident


when the owner cancels the insurance


when the owner buys a used car

Answers

Answer:

A

Explanation:

Technically, as soon as a credit account is delinquent, the lender can take action to repossess the property tied to the loan. In the case of a car loan, if you miss a payment, the bank could repossess the vehicle without notice.

They don't pay, it get's taken away!

Answer:

2nd one I think if I'm wrong my apologies:)

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