A(t)=(t−k)(t−3)(t−6)(t+3) Given that a(2)=0 , what is the absolute value of the product of the zeros of a?

Answers

Answer 1

So using a(2)=0 we can first solve for k by substituting t for 2
0 = (2-k)(2-3)(2-6)(2+3)
0 = (2-k)(-1)(-4)(5)
0 = (2-k)20
0 = 40 - 20k
-40 = -20k
k = 2

The next step would be to find all the 0s of a.
0 = (t-2)(t-3)(t-6)(t+3)
T = 2,3,6,-3

Then we find the product
2x3x6x-3 = -108

Since the problem asks for the absolute value, the answer is positive 108

Related Questions

Briefly describe the concept of action potential

Answers

Action potentials are caused when different ions cross the neuron membrane. A stimulus first causes sodium channels to open. Because there are many more sodium ions on the outside, and the inside of the neuron is negative relative to the outside, sodium ions rush into the neuron.

please mark me as brainliest.

Water and water-based solutions should never be used to extinguish a Class _______ fire.

Answers

Never extinguish a Class C fire with water/water-based solutions

Water and water based solutions should never be used to extinguish a CLASS C fire. There are five different classes of fire, class A TO CLASS E.
A class C fire is an energized electrical fire that usually originate from electrical equipment. Class fire should be put out with dry chemicals fire extinguishers.

If 3x+2y=11 and 2x+3y=17, what is the average of x and y?

A- 2.5

B- 2.8

C- 5.6

D- 5.8

E- 14

Answers

3x + 2y = 11

2x + 3y = 17

-------------------- We add the equations

5x + 5x = 28

5(x + y) = 28

x + y = 28 / 5 | ÷ 2

(x + y) / 2 = (28 / 5) / 2

(x + y) / 2 = 28 / 10

Average = (x + y) / 2 = 2.8 Corect answer: B

Answer:

Answer is D 5.8

Explanation:

The amount of suction produced during the intake stage can be measured by using a special gauge called a A. feeler. B. monometer. C. thread-pitch. D. vacuum.

Answers

The correct option is D.
Suction refers to the flow of a liquid into a partial vacuum or region of low pressure. Vacuum gauge is a device that is used to measure vacuum or sub atmospheric pressures. It is often used in conjunction with other vacuum sensors to monitor and control the vacuum pressure in a system.

if the sum of five consecutive even integers is 740 what is the largest of these integers

Answers

The answer is 152. I hope that helped!

if the sum of five consecutive even integers is 740, the largest of these integers will be 152.

What is an integer?

A whole number, as opposed to a portion that might be positive, negative, or zero, is an integer. Imaginary numerals, halves, and decimals are all part of the non-integer instances.

There are 5 consecutive even integers according to the given information:

So, the difference between each number who are consecutive will be 2

Letting the first number be x

Then another five consecutive numbers will be:

x, (x + 2), (x + 4), (x + 6), (x + 8)

As the question is asking to find the sum of the numbers, the sum is given as 740.

So,

(x + x + 2 + x + 4 + x + 6 + x + 8) = 740

5x = 740 - 20

x = 144

And the highest number among the five integers will be

x + 8 = 152

Learn more about integer, here:

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the composite score of the aspire test scores students on a scale of

Answers

They range from 400 and up

The composite score of the aspire test scores students on a scale of they range of 400.

What is Composite score?

The information from several variables or data points is combined into a single variable or data point known as a composite score. In other words, it is a single score that was calculated using various bits of data.

In the social sciences, composite scores are frequently employed to represent concepts or variables that are challenging or impossible to directly quantify with a single data point. An example would be a mental concept like anxiety.

If you ask someone how worried they feel on a scale from 1 to 10, you might be able to determine their level of anxiety with only that one piece of information.

Therefore, The composite score of the aspire test scores students on a scale of they range of 400.

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Although Shane does not consider himself a musician, he can't help moving his head to an upbeat song. Shane displays _____ music.

Answers

Shane displays physical music

B) physical response

this is the correct answer

Technician A says that to prevent the machine from starting by accident when you're working on it, disconnect the ignition system before starting work. Technician B says that one of the most important parts of any safety-and-accident-prevention program is good housekeeping. Who is correct?

Answers

Both Technician A and Technician B are correct.
When working on an ignition system, it is important to make sure it is turned off, because any spark or incidental flow of energy could result in a serious accident.
Technician B is correct that good house-keeping is essential to accident prevention. Keeping the work area neat, clean, and free of debris and other substances goes a long way in preventing an accident. A messy, dirty work area prevents many obstacles and hazards and can result in injury or worse.

Both technicians A and B are correct.

In three to four sentences, describe how you can act financially responsible.

Answers

To be financially responsible, you can keep track of how much money you spend by keeping a checkbook updated. When doing bills, buying groceries and clothes, and spending money on other activities, you use the recipes to record your spendings in the checkbook. Another way to stay financially responsible is to use a debit card more than a credit. When using a credit card, you're borrowing the Bank's money rather than your own and you have to pay them back. Slowly, that can cause more problems when late fees are added, or worse, your interest rates begin to fluctuate.

Answer:

I don't know what I would do as a adult but I would want to be a good one. If I want to be a parent then of course im gonna have to be a good adalt. I might need help with responsibility stuff but everyone all needs help with something once in their life. I want to be an responsible adult when i grow up, I only have 4 more years left.

Explanation:

there you goo

Data that consists of two quantitative variables for each individual.

Answers

Data that consists of two quantitative variables for each individual is bivariate data.

To ______ is to study or determine the nature and relationship of the parts.

Answers

Anatomize(Anatomy term to study or examine human body parts)

Impaired drivers will sometimes

Answers

A person who is impaired will be weaving within the lane or driving too slow. They are scared to crash because they have been drinking. Stopping too far from the stop sign. The window down on a cold night, because the alcohol makes them hot.

The impaired driver sometimes drive very slowly and with the window open. It is because they can not control their speed and the effect of alcohol make them feel hot .

Further explanation

Impaired drivers mean driver under the influence of alcohol or drugs (DUI). It is an obvious danger for the drivers itself and others. DUI is the number one factors of road accidents. It is also a criminal offense.

Even though, the legal limit for operating a motor vehicle .08% BAC (blood alcohol concentration) but a smaller amount of alcohol still impact your driving ability. At a BAC of .08, you might not be able to control the speed of the vehicle, blurry or double vision and your reaction time is slower. No amount of alcohol is acceptable.

It is also very costly in other ways. The criminal punishment for drunk driving can include driver’s license revocation or suspended for some time, fines, and jail. The fine is also extremely expensive.

Here some tips to reduce the risk of driving under the influence such as find designated sober driver , call a taxi or drive them home

Learn more

Drink driving brainly.com/question/10627570

Drink under the influence (DUI) brainly.com/question/1604147

Alcohol and its effect brainly.com/question/2364870

Keywords: impaired drivers, driving under the influence, DUI, dangerous drivers

Which blog has legal content and is written mostly by lawyers?

Answers

the answer was Blawgs. thanks though

Blawgs is correct just took test

What is the alphabet

Answers

The set of 26 symbols representing sounds that are used in speech and writing.

a set of letters or symbols in a fixed order, used to represent the basic sounds of a language; in particular, the set of letters from A to Z.

If you want to resolve conflicts that arise in your life, what must you have?

Answers

Courage, patience, love, hope and well,

Well to resolve any problems I would have patience and be calm in situations, take responsibility for my actions, even if I am/not at fault, be forgiving and let things go, just throw it behind my back as if it was nothing, and a humble attitude to lower myself and view others superior to me.

what the incident that happened at howick that contributed towards the history of mr Mandela

Answers

Nelson Mandela was arrested in Howick. Rumours were spread the Mandela’s connection with the communist made him a target of US officials.US officials continued to track the activities of Nelson Mandela, and they found a collaborator in the South African government.

Analogy Help:
Ferdinand Magellan : world :: Marco Polo : ?

Answers

Ferdinand Magellan: World :: Marco Polo: Asia

Magellan sailed across the world (or at least his crew did)
Marco Polo sailed to the Asias, and viewed many of the Asian places, including China, mongolia, etc.

hope this helps

Ferdinand Magellan went on the first circumnavigated expedition of the Earth. Marco Polo journeyed across Asia and along the Silk Road.

Taxes you pay to the federal government are what

Answers

you pay your federal income taxes

Answer:

Federal Taxes

Explanation:

The most appropriate presentation aid to demonstrate where your tax dollar goes would be a _______.

Answers

Answer:

The most appropriate presentation aid to demonstrate where your tax dollar goes would be a pie graph.

Explanation:

Any time there's a group of data that adds to up to 100% of something, a pie graph is the best option. In this case, the different places your tax money ends up adds up to 100% of your taxes.

Answer:

pie graph

Explanation:

I think it would be a pie graph because, a pie graph is sectioned into areas and you can have as many “slices inside of the pie graph as you want/ sections.” Also a pie graph would be a good way to demonstrate where your tax dollars would go to by having the names of the major places or things that the taxes you would be paying would be going towards.

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