Simplify completely.
(2 + 3i) + (-4+i)

Answers

Answer 1

Answer:

-2+4i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression.

Answer 2

The simplified form of the complex expression is -2 + 4i.

What are Complex Numbers?

Complex numbers are numbers which are of the form [tex]a+ib[/tex],

where a and b are real numbers and i is the imaginary number called iota whose value is [tex]i^{2}[/tex] = -1.

Given expression is (2 + 3i) + (-4 + i).

Addition of complex numbers is defined as,

(a + ib) + (a' + ib') = (a + a') + i(b + b')

Using the definition of addition of complex numbers, given expression can be added as,

(2 + 3i) + (-4 + i) = (2 + -4) + i(3 + 1) = -2 + 4i

Hence the resulting value is -2 + 4i.

To learn more about Complex Numbers, click on the link given below :

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Related Questions

Linear or Non Linear

The cost to ride in a taxi that initially charges $4 plus $0.25 per half mile

Answers

i’m not 100% sure but i think it’s Linear.

Jeremiah spent $68 for concert tickets. He bought one adult ticket for $18 and several children's tickets for $10 each. Which number line represents the number of children's tickets Jeremiah bought?​

Answers

Five child tickets and I know it

Your welcome

Help please thank you:) QUICKLY!!!!!!!!!

Answers

Answer:

y = -8

Step-by-step explanation:

2x2 - 12

4 - 12 = -8

hope this helps

I think -8, but im sorry if it is wrong

April ought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her total was $21.25, how many sports drinks did she purchase?
(1 sports drink is $1.75, one pizza slice is $2.75)
{System of Operations}

Answers

s= p+3

(number of sports drinks= s)

(pizza slices= p)

If your input is 7 what is your output?

Answers

Answer:

the answer would be 32 then. you start with 7 then add 1 then Multiple by 4 which equals 32

7+1*4 = 32. I think this is it i’m not sure.

The company charges $45 a day for the car
as well as charging a one-time $25 fee for
the car’s navigation system (GPS). Write an
equation for the cost in dollars, C, as a
function of the number of days, d, the car
was rented.

Answers

Answer:

I personally find it easier to put my equation in words before actually writing the equation, so for this particular situation, the equation would sound like this :

→ The cost (C) is equal to 45$ a day (d) plus 25$!

Now that your equation is put into words, all that you have to do is write down the equation without the words :

→ C = (45d) + 25

If you want to make sure that your equation is correct, you can try it out, say for instance you want to rent a car for a week, so for a total of 7 days, and you want to see how much it would cost :

d = 7 (in this particular situation)

C = (45 × 7) +25

C = 315 + 25

C = 340

→ So it would cost 340$ to rent a car for a week!

credit goes to naomi479xx for solving this answer.

Katherine's paycheck was $436.14. She put 1/3 of her paycheck into a savings acount and used 1/2 for what was left to pay for her new phone,
How much money does she have remaining from her paycheck?

Answers

Answer:

$145.38

Step-by-step explanation:

436.14-(1/3)(436.14)-(1/2)(436.14) = 145.38

The amount of money that Katherine left after considering all fractions will be $145.38.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The denominator of a fraction is the numerical value that comes before the brings together various.

It represents the number of pieces removed from the whole.

As per the given,

Initial amount = $436.14

1/3 of it is = (1/3)436.14 = $145.38

Since, she saved into a saving account so she left with,

$436.14 - $145.38 = $290.76

Now,1/2 of it will be,

(1/2)290.76 = $145.38.

Hence "The amount of money that Katherine left after considering all fractions will be $145.38".

For more about fractions,

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please help HEYMLMUM

Answers

Answer:

A.

Step-by-step explanation:

can someone help me with this question

Answers

the last one with four boxes of x over 24

A line graph titled Video Rental Stores has year on the x-axis and stores (thousands) on the y-axis. In 2009, there were 4,000 stores.
The line graph shows the number of video rental stores for the years 2005 through 2012.

There were stores in 2009.

Answers

Answer:

its 4,000

Step-by-step explanation:

Alyssa's mother was sick. Alyssa, went to the store and bought 2/10 pound of medicine, then another 1/10 of medicine. What would the answer be when you add them together? Denominator stays the same.

Answers

3/10. you add the 1 and the 2 together.

Add the two functions.

f(x) = 3x3 + 7x − 26

g(x) = x + 2

Answers

Answer:

1. F ( x ) = 3/4x^4 + 7/2x^21 - 26x + C

2. G ( x ) = 1/2X^2 + 2x + C

I need help with this question

Answers

Answer:

2n=12

Step-by-step explanation:

The next step would be to subtract four from each side getting 2n=12 or B

The radius of a circle is 7 miles. What is the circle's area?
Use 3.14 for .

Answers

Answer:

A≈153.94mi²

Step-by-step explanation:

A = πr2 = π · 72 ≈ 153.93804mi²

which expression is equivalent to
-2(x+4) -(3x+8)?
A) 5x+16
B) 5x-16
C) -5x+16
D) -5x-16

Answers

Answer:

D

Step-by-step explanation:

-2x - 8 - 3x - 8

= - 5x - 16

y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?

Answers

Answer:

1/2

Step-by-step explanation:

y = mx + b is slope intercept form.

b = y intercept. where the line first passes through on the y axis

that number is 3.

y = mx + 3.

to find M (slope) you have to do RISE / RUN.

Run is going left or right from a point

Rise is going up or down from a point.

To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.

From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.

So, the slope is 1/2.

Simplify 5c(2/5d-4)-3(c+2)+d(c+5)

Answers

Hey there!

-3(c+2)+d(c+5)

All you have to do is DISTRIBUTE

-3(c) + (-3)(2) + d(c) + d(5)

-3c - 6 + cd + 5d

SOLVE ABOVE and you have your ANSWER

Answer: cd - 3c + 5d - 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Halfway through the third quarter, how much of the game is left?
Write the answer as a proper fraction,

Answers

11/1 explanation there are 11 minutes in a quarter of a game

Please help! Thank you!

Answers

Answer:

X=sigma xi/no of observation

5= (?) /4

5*4=sum of all numbers

20=sum of all the observation

If you are helped by this answer pls tag me brianliest I really want it

THANK YOU.......

I need help on this, please help​

Answers

Answer:i tihnk football is .45 and tennis is .18?

Step-by-step explanation:

i dont know if this is right but im pretty sure it is

A water pipe has a flow of 2 gallons per minute how many 2 qt could fill it in 1/2 hour?

Answers

Answer:

60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120

Step-by-step explanation:

Hope this helps!

How many minutes are there in 12.5 hours?

Answers

Answer:

750 minutes

Step-by-step explanation:

Answer:

750 minutes would be your answer

Step-by-step explanation:

Michael owns a small business selling clothing. He knows that in the last week 39 customers paid cash, 30 customers used a debit card, and 2 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.

Answers

Answer:

0.03

Step-by-step explanation:

!

Puteti sa ma ajutati va rog

Answers

Answer:

I read the title wrong, please remove my answer

Step-by-step explanation:

6 Which is NOT a function?
A y – x = 6
B y = 2x
C x = -2
D y + x = 12

Answers

Answer:

C) x = -2

Step-by-step explanation:

x = -2 is a vertical line with intersects the x-axis at -2; vertical lines are not functions

Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below.

Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance.

Natasha uses the $25 off the repair cost coupon first. She then uses the 20% off the repair cost coupon on the remaining balance.

Who paid the least amount of money for the iPhone repair?

Answers

Answer:

natasha paid the least amount

Convert 5 1/6 to a decimal through long division.

Answers

Answer:5.83

Step-by-step explanation:

Also I need part b on this one

Answers

Answer:

there is nothing here but thanks for the points

Step-by-step explanation:

Have a great rest of your day/night!

A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation.
Using this equation, find out the time at which the rocket will reach its
max, to the nearest 100th of a second.

y = 16x^2+ 238x + 81

Answers

We need the max height as well

Answer: 7.44

Step-by-step explanation: DeltaMath


At an auto repair shop. 3.5 hours of labour costs $311.50. What is the labour
charge for a 5 hour job?

Answers

445 .                       Answer:

Step-by-step explanation:

445 I think ………………………….
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