Simplify (7 +i) – (6 – 2i)

–2

1 – i

1 + 3i

4 ...?

Answers

Answer 1
Solution:
7-6 +i+2i = 1+3i

Related Questions

The perimeter of a rectangular garden is 368 feet. If the width of the garden is 86 feet, what is its length?

Answers

Since the perimeter is 368 the equation for the perimeter is = 2L + 2W

Since we have one length of the side,

368 - (86*2) = 2L

196 = 2L

So the length is 98 because, 2 x 98 = 196

Divide 9 by z expression

Answers

9÷z or 9 over z. The 9 comes first.

Solve the system and explain what the results mean according to your scenario.

2x + y = 9
3x + 4y = 26
...?

Answers

y=9-2x
3x+4y=26

3x+4(9-2x)=26
3x+36-8x=26
-5x=-10
x=10/5
x=2
2(2)+y=9
y=5                                                           x=2  <-----------------
                                                                 y=5  <-----------------

2(2)+5=9
4+5=9

3(2)+4(5)=26
6+20=26

The solution to the problem is as follows:

By elimination method:

2x + y = 9 (1)
3x + 4y = 26 (2)

Multiply eq (1) by -4:

-8x -4y = -36
(+)   3x + 4y = 26

4y will be cancelled out:

5x = -10

x = -2

Substitute x = -2 on eq (1):

2(-2) + y = 9

y = 9 + 8 = 17

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!



Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. If a student’s z-value was 1.75 on the test, what was the student’s score?

Answers

z = (x - 500) / 100

1.75 = (x - 500) / 100

175 = x - 500

675 = x

Answer:

A, 675

Step-by-step explanation:

Compute the series 1 2/3 4/9 8/27 16/81

Answers

The pattern is multiplying the top by two and multiplying the bottom by 3.
16*2/81*3
32/243
64/729
128/2189
if you need more you can just use a calculator

Which function below has the largest slope?




f(x)

x f(x)
2 4
4 12
6 20

g(x)

g(x)=10x - 4

h(x)

Lance gains 1 level each time he plays his favorite video game. He started at level 10.


f(x)

g(x)

h(x)

The functions all have the same slope

Answers

For f(x)
slope = change in y / change in x
slope = (20 - 12) / (6 - 4)
slope = 4

For g(x)
slope = 10

For h(x)
slope = 1

g(x) has the greatest slope.

write 14/5 as a mixed number in simplest terms.

Answers

The answer you are looking for is 2 4/5. Hope this helps.

Answer: 2 and 4/5

Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.

[tex]\sqrt[5]{14}[/tex] = 2 with a remainder of 4

Therefore, 14/5 can be written as the mixed number 2 and 4/5.

What are composite numbers in 50?

Answers

A composite number is a number that can be divided evenly 
by numbers other than 1 or itself. So in this case  the composite factors that make up 50 are: 25 and 10

The sum of negative eighteen and a number is eleven. what is the number? which equation could be used to solve the problem? x - 18 = 11 18 - x = 11 -x 18 = 11 x 18 = 11 user: solve for y. y - 12 = -10 y = 22 y = -22 y = -2 y = 2

Answers

Sum means addition 
negative 18 means -18
a number can be x
Sum of negative 18 and x should be 11
thus the equation is
[tex]-18+x=11[/tex]

Find the GCF of the following literal terms.

m^7n^4p^3 and mn^12p^5

Answers

I hope this helps you
Both terms have in common:
m
n⁴


The GCF = mn⁴p³

What is the value of the x-coordinate of the vertex of the function shown below?
f(x)=(x+4)(x-2)



...?

Answers

f(x)=(x+4)(x-2) = x² +2x -8
to find the vertex of a quadratic function, this is the main formula:

for f(x) = ax² + bx + c, and if M(ao, bo) the vertex, so 
      ao= - b/2a,  and bo = 4ac - b² / 4a
so the vertex of f(x)= x² +2x -8 is M( -1, -9)

Rewrite 5x(12+7) using distributive property

Answers

Final answer:

To rewrite 5x(12+7) using the distributive property, we distribute the 5x to both terms inside the parentheses. The final answer is 95.

Explanation:

To rewrite 5x(12+7) using the distributive property, we need to distribute the 5x to both terms inside the parentheses.

First, let's distribute the 5 to the 12:
5 x 12 = 60

Next, let's distribute the 5 to the 7:
5 x 7 = 35

Putting it all together, we have:

5x(12+7) = 5x12 + 5x7 = 60 + 35 = 95

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The correct rewritten expression using the distributive property is [tex]\( 5x \times 12 + 5x \times 7 \).[/tex]

To rewrite the expression  5x(12+7) using the distributive property, one must multiply the term outside the parentheses, 5x , by each term inside the parentheses.

The distributive property states that  a(b+c) = ab + ac

Applying this property to the given expression, we have:

[tex]\[ 5x(12+7) = 5x \times 12 + 5x \times 7 \][/tex]

 Now, we can simplify the expression by performing the multiplication:

[tex]\[ 5x \times 12 = 60x \][/tex]

[tex]\[ 5x \times 7 = 35x \][/tex]

Combining these results, we get the final simplified expression:

[tex]\[ 60x + 35x = 95x \][/tex]

 Therefore, the expression 5x(12+7)  simplifies to 95x  when the distributive property is applied and the multiplication is carried out.

Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.

Based on the tables of fees, above, if Sharon chooses First State Bank, will it save her money over choosing Common Bank?
a.
No, Common Bank will save Sharon more money.
b.
Yes, First State Bank will save Sharon money.
c.
No, First State Bank and Common Bank would have the same costs for Sharon.
d.
No, costs cannot be estimated in advance, so this information cannot be used.

Answers

Answer:

(a)

Step-by-step explanation:

Two banks: First state bank and common bank are compared in the table based on the prices of both the banks.

After observing, we come to the conclusion that holding a first state bank will charge a monthly fee of $4 whereas in common bank there is no monthly fee.

Secondly, non sufficient bonds are cheaper in common bank as compared to first state bank.

Also, 2nd back statement is charged as $7 and $ 3 for each transaction under first state bank and common bank respectively.

Hence common bank is cheaper. Therefore,(a) common bank will save Sharon more money.


Answer:

Sharon is comparing two banks - First state bank and Common bank

The table below is comparing both the banks.

We can see that the first state bank has a monthly fee of $4 while there is no such charge in common bank. The second thing is non sufficient funds  which is less in common bank. Thirdly, the 2nd copy charges of the common bank is cheaper(though this is not needed by Sharon).The ATM usage charges of common bank is also cheaper.

Comparing everything we can say that option A is the answer.

how do you solve ky-bf=fy/m?

Answers

Which variable would you like to solve for?

Let's try solving for y since you have two of them.

ky - bf = fy/m

kym - bfm = fy --> [ multiply by m ]
kym - fy = bfm --> [ subtract fy on both sides ]
y(km-f) = bfm ---> [ factor out a y ]
y = bfm/(km-f) ---> [ divide by km-f on both sides ] 

Final answer:

To solve the equation ky - bf = fy/m, you need to isolate the variable y. The steps are to distribute the k, add kf to both sides, and factor out y. The solution is y = (fy/m + kf)/k.

Explanation:

To solve the equation ky - bf = fy/m, we first want to isolate the variable y. Here are the steps:

Distribute the k to both terms in the equation: ky - bf = fy/m becomes ky - kf = fy/m.

Add kf to both sides of the equation: ky - kf + kf = fy/m + kf simplifies to ky = fy/m + kf.

Factor out y on the left side of the equation: y(k) = fy/m + kf becomes y = (fy/m + kf)/k.

So, the solution is y = (fy/m + kf)/k.

What is ��1.95 x 6thanks?

Answers

the answer will be 11.7

Solve for x.

x/36= 16/24

16

24

36

54

Answers

i think its 16 cause

Please Help!!!!!

The function q(w)=3+5(w−1) represents the number of quarters in a bowl on week w.

What does the value 5 represent in this situation?

Quarters were added to the bowl for 5 weeks.

Five quarters are added to the bowl every week.

There were 5 quarters in the bowl on Week 1.

The value of the quarters in the bowl on Week 1 was $5.


The function p(t) represents the population of a certain town t years after 2010.



p(t)=3476(0.97)^t



What does the value 3476 represent in this situation?

Every year after 2010, the population increases by 3476.

Every year after 2010, the population decreases by 3476.

The population of the town in 2010 is 3476.

The population t years after 2010 is 3476.

Answers

Answer:

For number 2:

Step-by-step explanation:


What is 1/50 as a percent and decimal?

Answers

1/50 converted to percent would be 2%. Here is how I got 2%. All I did was just divide 1 and 50 and got 0.2 then I had to multiply 0.2 * 100 and got 2%.

1/50 converted to decimal would be 0.02. I got 0.02 by dividing 1 and 50.

The fraction 1/50 is equivalent to 0.02 as a decimal.

To convert 1/50 to a percent, we multiply the fraction by 100:

= 1/50 x 100

= 2%

Therefore, 1/50 is equivalent to 2% as a percent.

To convert 1/50 to a decimal, we divide the numerator (1) by the denominator (50):

= 1 ÷ 50

= 0.02

Therefore, 1/50 is equivalent to 0.02 as a decimal.

Learn more about Decimal here:

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Find the unit rate. Round to the nearest tenth. 344 miles in 11 hours
i try and try i still don't get it please anybody could help me please =(

Answers

i hope this helps you



if 344 miles 11 hours


? miles per a hour


?.11=1.344


?=34



Which type of transformation does NOT result in a figure that is congruent to the original one?

Answers

Scaling i dont know if i spelt it right 

Answer:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

Step-by-step explanation:

please help me
consider the following equations :

A) 2x+3y=12
B) 2x+3y=6

How will the graphs of the two equations differ from each other ?

Answers

they will have different x and y intercepts

A. has xint of  (6,0) and yint of (0,4)
B. has xint of (3,0) and yint of (0,2)

The graphs of the two equations differ from each other because they have different y intercepts.

A linear equation is in the form:

y = mx + b;

where m is the slope, b is the y intercept and y, x are variables.

The first equation is given by:

2x + 3y = 12

3y = -2x + 12

y = (-2/3)x + 12       (1)

Hence the first equation has a slope of -2/3 and y intercept of 12.

The second equation is given by:

2x + 3y = 6

3y = -2x + 6

y = (-2/3)x + 6       (2)

Hence the second equation has a slope of -2/3 and y intercept of 6.

The graphs of the two equations differ from each other because they have different y intercepts.

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264 shared in ratio 2:3:1

Answers

_______264÷6

=44

________= 88,132,44
1 + 2 + 3 = 6
-----------
264/6

44
-------------
44 x2 = 88
----------------------
44x3 = 132 
-----------------
44x1 =44
-----------------------
the ratio will be 88 : 132 : 44

Jane has 6 more than half the number pairs of shoes that merie has write an expression for this

Answers

J = M/2 + 6

Meaning Jane has the same amount of shoes has half of Maries shows plus 6.

How much water does a rectangular tank with a square base of 2.5 yards and a height of 4 yards hold?

Answers

2.5 * 2.5 * 4 cubic yards.. = 25 cubic yards.. 
.
1 cubic yard = 764.555 liters
.
25 cubic yards = 19113.9 liters

30 : 48 as a ratio in simplest form

Answers

The answer is either 10:16 or 5:8
10:16 is the ration in simplest form.

What is the pattern for 43 36 29 22?

Answers

-7

We can find this by subtracting the first term by the second

So 43-37=7 

If we subtract the second by the third, we also get 7 and so on

Since the sequence is decreasing, that means it has to be a negative value that it is going by.

So the pattern is -7

How do you say happy in spanish?

Answers

Happy in Spanish means contento.


Answer:

There are a few ways of saying happy in Spanish such as:

-Feliz

-Alegre

-Contento

Any of the three opcións are help

The tables shows the total number of customers at a car wash after 1, 2, 3, and 4 days of its grand opening. Which graph could represent the data shown in the table?

Answers

Let

[tex] A(1,61) B(2,125) C(3,177) D(4,242) [/tex]

Using a graph tool

see the attached figure N 1

therefore

the answer is the option A

see the attached figure N 2

The correct answer is:

Graph A.

Explanation:

We can eliminate the last two graphs as they decrease; the numbers in this table continually increase.

To determine if it is graph A or graph B, we look at the spacing between the points. In the first graph, there is a steep jump between the first two points. The next two points increase more slowly, and there is another jump between the last two.

In the second graph, there is a slight increase between each pair of points. This does not match the data in the table; the first two points increase from 61 to 125, whereas the next two points go from 125 to 177, which is a smaller increase. This means the correct graph is graph A.

(6.6x10^4)(7x10^3 sientific notation

Answers

(6.6 x 10000 )(7 x 1000)
66000 x 7000
= 462000000

two cassettes and three CDs cost $175 while four cassettes and one cd cost $125. Given that one cassette costs 5x and one cd costs 5y , write two equations in x and y to represent the information.

Answers

The first equation is
[tex]2*5x+3*5y=175\rightarrow 10x+15y=175[/tex]
The second equation is
[tex]4*5x+5y=125\rightarrow 20x+5y=125[/tex]
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