Use the FOIL method to find the terms of the following multiplication problem.
(4+3i) (6-3i)

Answers

Answer 1

Answer:

i=2, -12/9

Explanation:

Step one: Using FOIL: (4+3i) (6-3i)--> 4*6+4*-3i+ 3i*6+ 3i*-3i

Step two: Simplify the new equation--> 24-12i+18i-9i²

Step three: Putting that into the quadratic equation--> -9i²+6i+24

Step four: Use the quadratic formula or the X-method (I'm going to use the X-method)

Step five a: Setting it up to use the X-method--> ax²+bx+c=0

Step five b: a=-9 b=6 c=14

Step six:

Step seven:

Step eight: i= -2, -12/9

Hope that helps! Let me know if you need anymore help!

Use The FOIL Method To Find The Terms Of The Following Multiplication Problem.(4+3i) (6-3i)
Use The FOIL Method To Find The Terms Of The Following Multiplication Problem.(4+3i) (6-3i)

Related Questions

Is a type of decision-making who over-analyzes information.

Answers

Answer:

Analytical decision-makers carefully analyze data to come up with a solution. They are careful and adaptable thinkers. They will invest time to glean information to form a conclusion.

Explanation:

Larousse Language College will have 201 students in the Sixth Form next year. Mr Roche, who
does the timetabling, knows that between 70% and 75% of the students intend to study French
and between 40% and 50% of the students intend to study German. All students study either
French or German or both.

Answers

By using Venn diagram method, the smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.

Given that Larousse Language College will have 201 students in the Sixth Form next year. And between 70% and 75% of the students intend to study French. Also, between 40% and 50% of the students intend to study German.

If  all students study either French or German or both, the least number of students that will study French will be

70/100 x 201

140. 7

Which means 141 students

The least number of students that will study German will be

40/100 x 201

80.4

That means 81 students

Also, the maximum number of students that will study French will be

75/100 x 201

150.75

That is 150 students ( Because approximation can't be done twice)

And the maximum number of students that will study German will be

50/100 x 201

100 students ( Because approximation can't be done twice)

a.) The smallest number of students that intend to study both French and German can be calculated as followed

Let the smallest number be x

141 - x + x + 81 - x = 201

222 - x = 201

- x = 201 - 222

-x = - 21

x = 21

b.) The largest number of students that intend to study both French and German can be calculated as followed

Let the largest number be y

150 - y + y + 100 - y = 201

250 - y = 201

- y = 201 - 250

-y = - 49

y = 49

Therefore, The smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.

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what were georgia's after the proclamation of 1763

Answers

Answer:

The Proclamation of 1763 was issued by the British at the end of the French and Indian War to appease Native Americans by checking the encroachment of European settlers on their lands. It created a boundary, known as the proclamation line, separating the British colonies on the Atlantic coast from American Indian lands west of the Appalachian Mountains. In the centuries since the proclamation, it has become one of the cornerstones of Native American law in the United States and Canada.

A particle moves along a curve with position function s(t) = t/2 - cos(t) for [tex]0\leq t\leq 2\pi . Find the max velocity of the particle and the time it reaches this velocity.

Answers

Answer:

t/2 = 5/5 squared

Explanation:

So basically you find out all the functions, add it up and then you will have the max velocity of the particle. To find out the time you find the mean.

100 Points.

What does it mean when a guy calls you pretty?
I know there is a difference from Pretty Buitiful, and Cute. But I don't know the difference please help.

Answers

Answer:

hmm i know STOP BEING A STALKER TO NARUTO

Explanation:

Answer:

Beautiful is probably the highest compliment, because it`s respectful and kinda ego-boosting. When they call you pretty, it`s a lesser version of beautiful but it`s still a nice compliment. Pretty is a term that friends like using amongst each other (at least my friend group, id.k for anyone else).

Cute is just straight up flirtatious, unless you`re talking to a friend. It`s the all-purpose term for complimenting lm.ao

Hope this helps :/

1. f(x) = 2x^3 -3x. If h(x) is the inverse function of f, then h'(-1) =

I believe the correct answer is 1/3, but I don't know how to get it.

Answers

If f and h are inverses of one another, then we have

h(f(x)) = x

Differentiating both sides using the chain rule gives

h'(f(x)) • f'(x) = 1

Let f(x) = -1. Then it would follow that

h'(-1) = 1/f'(x)

for the value of x such that f(x) = -1. This result is known as the inverse function theorem.

Solve for x such that f(x) = -1 :

2x³ - 3x = -1

2x³ - 3x + 1 = 0

By inspection, x = 1 is a solution, since 2 - 3 + 1 = 0. So x - 1 is a factor of the left side; polynomial division yields a factorization of

(x - 1) (2x² + 2x - 1) = 0

and using the quadratic formula, we find three solutions,

x = 1, x = (-1 - √3)/2, x = (-1 + √3)/2

Since there's more than one solution here, this means f(x) is not one-to-one and thus has no inverse in the strict sense of the term.

We can however restrict the domain of f(x) to a subset over which it can be inverted. Using the fact that polynomials are monotonic over intervals between their extrema, we find the critical points of f(x) :

f'(x) = 6x² - 3 = 0   ⇒   x² = 1/2   ⇒   x = ± 1/√2

Check the sign of the second derivative at each critical point:

f''(x) = 12x

• f''(-1/√2) = -12/√2 < 0   ⇒   x = -1/√2 is a local maximum

• f''(1/√2) = 12/√2 > 0   ⇒   x = 1/√2 is a local minimum

Now we have a few choices of how to define the inverse of f(x).

• If we restrict the domain of f(x) to the interval (-∞, -1/√2), then f(x) = -1 when x = (-1 - √3)/2. Then by the inverse function theorem,

f((-1 - √3)/2) = -1   ⇒   h'(-1) = 1/f'((-1 - √3)/2) = (-1 + √3)/6

• If we instead restrict the domain to (-1/√2, 1/√2), then f(x) = -1 when x = (-1 + √3)/2. Then

f((-1 + √3)/2) = -1   ⇒   h'(-1) = 1/f'((-1 + √3)/2) = (-1 - √3)/6

• Otherwise, if we restrict to (1/√2, ∞), then f(x) = -1 when x = 1. Then

f(1) = -1   ⇒   h'(-1) = 1/f'(1) = 1/3

Which of the following identifies an error in Mathus' theory?


A. A famine caused food production to fall instead of grow as Malthus predicted.

B. The population grew much more than Malthus predicted.

C .A war reduced the population size instead of growing as Malthus predicted.

D. Food production grew much more quickly than Malthus predicted.

E. The population remained steady and did not grow as Malthus predicted.

Answers

D.- Food production grew much more quickly than Malthus predicted

Answer:

its D

Explanation:

i just took the exam it was right

which factor contributes least to the rate at which a stream deposits sediment?

Answers

Solution

To determine the angle of the velocity, we use the following equation.

Tan θ = Vertical velocity ÷ Horizontal velocity

As the particle moves from its initial position to its final position, its vertical velocity decreases at the rate of 9.8 m/s each second. During this time its horizontal velocity is constant. To determine the time when the angle is 45˚, we need to determine the object’s vertical velocity at this angle. Let’s determine the vertical and horizontal components of its initial velocity.

Vertical = 50 × sin 60˚, Horizontal = 50 × cos 60˚ = 25 m/s

Since horizontal velocity is constant, let’s put 25 m/s and 45˚ into the tangent equation.

Tan 45 = Vertical velocity ÷ 25

Vertical velocity = 25 m/s

To determine the time for the vertical velocity to decrease from its initial value to 25 m/s, use the following equation.

vf = vi – a × t

a = 9.8

25 = 50 × sin 60˚ – 9.8 × t

t = (25 – 50 × sin 60˚) ÷ -9.8

This is approximately 1.83 seconds.

how do i find the limiting reactant

Answers

Hmm what, is there anything more to this?

What statement is incorrect about natural selection

Answers

Answer: What statement is incorrect about natural selection

Explanation: Human genetic modification.

What were some ways that September 11th affected North Carolina’s economy? Check all that apply. It led to several major commercial airline companies relocating to the state. It led to the creation of thousands of military jobs in the state. It led to the opening of more factories across the state. It encouraged more defense and military spending.

Answers

Considering the situation described above, some of how September 11th affected North Carolina’s economy include "it led to the creation of thousands of military jobs in the state."

The other way September 11th affected North Carolina’s economy is that "it encouraged more defense and military spending."

September 11, 2001, Terrorist Attack

September 11, 2001, Terrorist Attack was an attack on the United States targeting significant buildings such as Pentagon, World Trade Centers, and U.S Capitol.

Following the saddened incident that led to the immediate death of about 3,000 people, its effects were felt across the United States, including North Carolina.

Some of the effects led to increment in the militarization of North Carolina, making the state become the fourth-ranked state with military personnel in the United States with 166,000 troops.

Hence, in this case, it is concluded that the correct answer is options B and D.

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im almost done with high school and I want to go to a college in texas where the love of my life lives. anyone got any suggestions for good colleges there???

Answers

Answer:

Trinity University in San Antonio is nice, just know that if you walk around downtown San Antonio (really anywhere in Texas) either carry pepper spray and or other self defense mechanisms and/or walk with a man you trust (that applies only if you are a woman, sadly)

I was there visiting Trinity and it's nice, really nice gyms and stuff, cool food court, other stuff too, but i was walking downtown with MY PARENTS on either side of me and a scary guy came up and cut us off and was making crude comments toward me and was advancing on us. so guys in big cities are bold a-holes.

It seems like going to school in texas would mean out-of-state tuition for you, so apply for any and all scholarships that you can.

Explanation:

Use the FOIL method to find the terms of the following multiplication problem.
(4+3i) (6-3i)

Answers

Answer:

FOIL = First terms, outer terms, inner terms, and last terms. The product of the first terms is 24 (4*6). The product of the outer terms is -12i(4*-3i). The product of the inner terms is 18i(3i*6). The product of the last terms is -9i^2(3i*-3i). "i^2"= -1 So, -9*-1= 9.

For Mendel’s studies, why was it important that his subjects, pea plants, could reproduce quickly and produce many offspring?

Answers

To study genetics, Mendel chose to work with pea plants because they have easily identifiable traits. For example, pea plants are either tall or short, which is an easy trait to observe. Furthermore, pea plants grow quickly, so he could complete many experiments in a short period of time

The global positioning system (GPS) is a system of satellites that provides precise velocity and positional information for all locations on Earth. Describe how GPS data are used in the study of certain animals. (0.5 point) Think about how wild animals can be tracked over great distances.

Answers

Answer:GPS tracking is the newest technology being used to track wildlife. In GPS tracking, a radio receiver, not a transmitter, is placed on the animal. The radio receiver picks up signals from special satellites. The receiver has a computer that then calculates the location and movement of the anima

Explanation:

GPS data is extensively used in the study of certain animals to understand their movements, behaviors, and habitats.

Researchers attach GPS tracking devices to animals such as migratory birds, marine mammals, and large terrestrial mammals. These devices record the animal's location at regular intervals, allowing scientists to track their movements over time.

By analyzing GPS data, researchers can identify migration routes, feeding areas, and breeding grounds of the studied species.

This information is vital for conservation efforts, as it helps identify critical habitats and migration corridors, assess the impact of human activities, and inform effective management strategies to protect these animals and their ecosystems.

GPS technology revolutionized the understanding of animal behavior and contributed significantly to wildlife conservation efforts.

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The economy has been sluggish in recent months with slow economic growth. Explain the policies that the Federal Reserve could use to improve the economy.(1 point)

The Federal Reserve stops purchasing treasuries and securities, and then issues new reverse repurchase agreements. The short-term profits and decrease in the money supply cause a decrease in interest rates and increased lending.

The Federal Reserve sells treasuries back to banks and issues new reverse repurchase agreements. The decrease in the money supply increases interest rates, which increases lending.

The Federal Reserve purchases treasuries and securities and also issues new repurchase agreements. The increase in the money supply and decrease in interest rates result in more lending and risk.

The Federal Reserve purchases treasuries and securities, and also issues new repurchase agreements. The increase in the money supply increases interest rates and inflation, which spurs economic growth.

Answers

The policy that the Federal Reserve could use to improve the economy are;

C: The Federal Reserve purchases treasuries and securities and also issues new repurchase agreements. The increase in the money supply and decrease in interest rates result in more lending and risk.

The Federal Reserve which is the US Central Bank has 2 major roles which are:

To find a way to work to achieve low level of unemploymentTo maintain stable prices all through the economy.

Now, when there is recession which is slow economic growth, unemployment level increases, and prices may drop in a process called deflation.

The Federal Reserve could take the following steps to arrest the slide in economic growth;

Open market operations; In this system, the federal reserves can lower interest rates by buying debt securities on the open market which is traded in return for newly created bank credit. This means the federal reserve purchases mostly Treasury securities in its normal open market operations. Lower capital requirementsDiscount Lending

Thus, the correct answer is option C.

Read more about recession at; https://brainly.com/question/3578090

Answer: C: The Federal Reserve purchases treasuries and securities and also issues new repurchase agreements. The increase in the money supply and decrease in interest rates result in more lending and risk.

Hope this helps :)

urgent!
Which of the following becomes
disrupted when we don't feel
self-control?
A. anxiety
B. internal circadian rhythm
C. relational processes
D. personal reality

Answers

Self-control could be defined as the conscious ability to regulate impulses voluntarily, if we don't feel self-control relational processes becomes disrupted.

Self-control is the ability to regulate emotions, thoughts and behaviors effectively in different situations.

A person with self-control can manage their emotions and regulate her behavior, copes with setbacks with serenity, has patience and understanding in relational processes.

Lack of self-control affects the ability to establish and maintain positive and rewarding relationships with diverse individuals and groups through communication, social commitment, and teamwork.

Therefore, we can conclude that self-control allows to regulate emotions, thoughts and behaviors, giving the possibility of choosing actions and reactions to stimuli, with the aim of achieving a greater personal and relational balance.

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Could anybody look over my AP US Government Exam and correct me on anything I might have gotten wrong

Answers

I believe #7 is Answer choice A

List the molecules of the “energy investment phase” in order starting from Glucose?

Answers

Answer:

Energy investment phase. Glucose is first converted to fructose-1,6-bisphosphate in a series of steps that use up two ATP. Then, unstable fructose-1,6-bisphosphate splits in two, forming two three-carbon molecules called DHAP and glyceraldehyde-3-phosphae.

Explanation:

hope it helps you

Identify the legal concern that is common to both Trump v. Hawaii
(2017) and Baker v. Carr (1962)

Answers

Answer:

In Hawaii v. Trump, the Supreme Court considered whether President Trump's travel ban exceeds the President's delegated powers under the Immigration and Nationality Act and violates the Establishment Clause of the First Amendment

It should be noted that the cases established the right of federal courts to review redistricting issues outside the courts' jurisdiction.

In Hawaii v. Trump, it was considered whether President Trump's travel ban exceeds the President's delegated powers.

In  Baker v. Carr (1962), the court ruled that federal courts can enforce the 14th amendment in a situation where the state legislative districts are populated.

Learn more about courts on:

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Explain four reasons of preserving farm produce​

Answers

The following are some of the reasons we preserve our food.

Not to lose it freshness

.To prevent contamination and infection

.To prevent food from smelling

.To keep insect and other pest away from the food.

Keeps farm produce in good condition for planting in the next season

.To keep food for a long period of time.

Explanation:

One- Not to lose it freshness.

Two- To prevent contamination and infection.

Three- To prevent food from smelling.

Four- To keep insect and other pest away from the food.

Explain ONE historical situation in the period 1450-1750, other than the one illustrated in the passage, in which states experienced environmental impact.

Answers

During the period 1450-1750, are the environmental impact on the soil erosion are the transfer of the diseases.

What is environmental?

The term "environmental" refers to the surrounds on Earth. The environment is made up of both living and non-living entities. The influence of the environment on human life Plants, fisheries, animals, woods, and microorganisms are examples of biotic factors in the environment. Water, land, rocks, air, and other abiotic components are examples.

The movement of cattle and animals from one region to another, notably from the eastern to western hemispheres, had a significant environmental impact in the Americas. The animals brought west overgrazed, causing land degradation and disease transmission.

As a result, during the period 1450-1750, are the environmental impact on the soil erosion are the transfer of the diseases.

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how would most Spanish speaker ask the school principal for his or her office telephone number

Answers

Answer:

Disculpe director, ¿podria darme el número de teléfono de su oficina?

Explanation:

Tu créeme

20 POINTS!!!!
Which of the following statements BEST describes the position of the United States following World War II?

The United States should set up and control democratic governments in allied European countries.
Promoting democracies in European countries is the best way for the United States to combat the spread of communism.
The United States should not be expected to provide financial aid to countries struggling to rebuild after the war.
It is not the United States' responsibility to provide aid to states that have resisted communist takeovers.
The United States should focus attention on Western Europe only.

Answers

The first one. Skshsbeebshshshdhdbdbdbd

Before you begin, access the accompanying document in PDF or word-processing format. For practice purposes, set a timer when you are ready to begin. You will have 55 minutes to complete the synthesis essay.

Often used to define the culture, philosophy, society, and politics of the country, education has long been considered a cornerstone of the United States. Despite this, great disagreement exists about what that education should entail and accomplish.

Carefully read the following seven sources, including the introductory information for each source. Then, synthesize information from three of the sources in a coherent, well-developed essay that develops your position on a primary purpose of education today.

Answers

Answer:

It won't let me comment but did  you ever figure this out? I am on the same assignment and struggling.

Explanation:

How many years is it in college for both botany, cooking, and mechanic's together?

Answers

Answer:

It can take anywhere from 6 years to 10 years. Depends on the university.

In most unis:

Botany - 4 years

Culinary school - 4 years

Mechanical trade - 2 years

Hope that helps

I am always here, but you can never see me.
What am I????

Answers

Answer:

future?

Explanation:

Bryan takes out an unsubsidized loan of $3,000 with an interest rate of 5%/per year. How much will he owe at time of graduation?

$3,000

nothing

$3,600

$15,000

Answers

Answer:

Explanation:

C

5%3000 = 150

150 x 4 = 600

3000 + 600 = 3600

Answer: $3,600

Explanation:

3,000 * 0.05 = 150

150 * 4 = 600

3,000 + 600 = 3,600

Which of the following best explains the changes on the map between 1644 and 1800?

Answers

Answer: It incorporated many diverse cultural groups

Explanation:

How were social categories, roles, and practices maintained or changed from 1450-1750?

Answers

Answer:

This is an essay question. You need to develop a theory about the three biggest forces in world history during that 300 year period. You should look at the movement of capital, the movement of ideas, and the movement of people. That should get you started with a tidy five para structure. You will need to gather some sources together. Happy research!

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