Simplify the expression (4-5i)(2+6i)-(3-2i) show your work.

Answers

Answer 1

The simplification of the given expression [tex](4-5i)(2+6i)-(3-2i)[/tex], we get [tex]-30i^2+16i+5[/tex].

Given expression is:

[tex](4-5i)(2+6i)-(3-2i)[/tex]

By applying the multiplication, we get

→ [tex](8-10i+24i-30i^2)-(3-2i)[/tex]

By multiplying the (-) sign into the bracket, we get

→ [tex]8-10i+24i-30i^2-3+2i[/tex]

→ [tex]5+16i-30i^2[/tex]

By arranging the terms, we get

→ [tex]-30i^2+16i+5[/tex]

Thus the answer above is right.

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Related Questions

What kind of roots does a quadratic equation have if the discriminant is 0?

Answers

Answer: The equation has two real, identical roots.

Answer:

If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots

Which system of linear inequalities is graphed?​

Answers

Answer:y>2x+1 and x+y<-2

Step-by-step explanation: Plot those two lines and they should appear the same as the graph, with the area to the left of (-1,-1) and between the lines greyed out.

Multiply.

[−427⋅(−18)]⋅(−389)⋅(−1)

What is the product?

Answers

Answer:

300/1 or 300

Step-by-step explanation:

I took the quiz

The product of the given numbers is 29,89,854.

The given expression is [(−427⋅(−18))⋅((−389)⋅(−1))].

What is product of integers?

Integers are the set of whole numbers and their opposites. When you multiply integers, the numbers that you are multiplying are called factors. Your answer after multiplying is called a product.

Product of negative and negative integers is positive.

Now,

(−427⋅(−18)) = 7686

((−389)⋅(−1)) = 389

7686 × 389 = 29,89,854

Therefore, the product of the given numbers is 29,89,854.

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Jason deposits $1200 in an account that earns 7% interest compounded quarterly. How much will Jason have after 6 years?

Answers

the amount is $1819.73 and the interest is $619.73

Answer:

50400

Step-by-step explanation:

hope this helps

HELOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Answers

Answer:

BBBBBBBB

Step-by-step explanation:

Answer:

B: | 7 |

Step-by-step explanation:

subtract 11 with 4 to get 7, but you keep the rest to show that it has to stay as a positive number.

hope this helps :)

what was the average wait time in a drive-thru in 2013?

Answers

Answer:

In 2003 there was only a short waiting time of 116 seconds!

That's less than TWO minutes.

However, over the years, the drive-thru wait time has gone up 20%

In 2021, due to a study/survey, the drive-thru wait time has been 3+ minutes on average.

Answer:

in 2013 the average time was 180.83

Step-by-step explanation:

what is 1+1-923422354x2x26757635

Answers

Answer: [tex]-4.9417197e+16[/tex]

Step-by-step explanation:

1+6=


This Is Just For Fun :DDD

Answers

Answer:

16

Step-by-step explanation:

Answer: 7

Step-by-step explanation: As a kid growing up in public schools, math definitely sucked a lot and growing up does too but math would always get harder and harder and as I learned in 1st grade my times tables and addition, I learned that 1+1 = 2 so that means if we do 1+1+1+1+1+1+1 then that would equal 7 and so now we have 7 times the amount we had before therefore making the statement valid and icey

IF YOU DONT KNOW THE QUESTION, PLEASE DONT ANSWER IT FOR THE PONIS. I REALLY NEED IT

Answers

Answer:

-3x^2-10x+6

Step-by-step explanation:

the first mistake would be writing the 4x^2 as positive when it's supposed to be negative. the 1 is also supposed to be positive. correct difference would be:

(x^2-10x+5)-(4x^2-1)

=(x^2-4x^2)-10x+5+1

=-3x^2-10x+6

Answer:

Mistake in step 2

Step-by-step explanation:

(x^2-10x+5)-(4x^2-1)

x^2-10x+5-4x^2+1

-3x^2-10x+6

-(3 x^2 + 10 x - 6)

There is a mistake in step 2 in the picture,

-(4x^2-1)

Here, -*- =+ and -*+=-, this is done incorrectly here,

il perimetro di un rettangolo è di 22 cm e la base supera di 2 cm il doppio dell’altezza . determina le misure dell’altezza del rettangolo

Answers

Answer:

2× 22=44÷4=6/4 o 6.4 6.4=44. ×2 x=6.4

Trey is taking his friends out to dinner to celebrate graduation. It will cost him $72 to reserve a table, and another $5 per guest. How many people can he invite if he can only spend up to $130?​

Answers

Answer:

11 people

Step-by-step explanation:

first, youd subtract the table reservation price from the max price.

130 - 72 = 58

then, since each person costs $5, you find the highest multiple of 5.

in this case, its 55, which has 11 groups of 5 in it.

to make sure:

you can then subtract 55 from 58 to make sure there isnt any extra 5's.

58 - 55 = 3.

plsssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

73 + 75

l=11 w=17

Please help! I will give brainliest!​

Answers

Answer:

x+(x-50)=180

2x-50=180

2x-50+50=180+50

2x/2=230/2

x=115

Step-by-step explanation:

according to the question,

x-50+x=180°

2x-50=180°

2x=230°

x=115°.

now, for x-50° = 115°-50°= 65°

hope this helps you.

combine the like terms to create an equivalent expression
what is
2 x - x + 8​

Answers

Answer:

x + 8

Step-by-step explanation:

when theres just an x or any number there it is the same as 1x

2x - 1x = 1x / x

1x + 8 aka x + 8

Someone pleaseee help me out with this question!!!

Answers

Answer:

51.2%

Step-by-step explanation:

I just reduced 20% each time starting with 100, so it became 51.2/100 or 51.2%

Answer:

c 48.8%

Step-by-step explanation:

the % of price reduction = 1-80%×80%×80%

=48.8%

control

7) At one college, GPAs are normally distributed with a mean of 3 and a standard deviation of

0.6. Using the Empirical Rule, what percentage of students at the college have a GPA

between 3.6 and 4.8? Sketch a curve to show your work.

Celes

Answers

Ahhhhhjjjjjjjjjjjjjjjjjjjj

what is the square foot area of a room with length of 10 3/4 feet and width of 8 1/2 ft ​

Answers

Answer:

95 1/8 square feet

Step-by-step explanation:

10 3/4 *8 1/2 = 43/4*17/2=430+301/8=761/8=95 1/8

Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp pls

Answers

Answer:   D

Step-by-step explanation:

Break up the equation and you get 2x + 14 - 7 = 2x - 7 aka the same equation

Based on the data set shown, which of the following is a true statement?
-1,-1,0, 1, 1, 1, 1, 2, 2, 2, 3

Answers

Answer:

3

Step-by-step explanation:

Answer:

Agree with the person on top

Step-by-step explanation:

Mean < median

Please solve the math problem... I will mark you brainliest

Answers

Answer: the solution set is {19}

Step-by-step explanation:

AC = DF

6x+41=8x+3

-2x=-38

x = 16

700000x800000000 what is equivalent to 6x+9+-6

Answers

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

Translate (x-y)^3 into words

Answers

Answer:

x minus y in parentheses to the third power.

Step-by-step explanation:

Hope this helps! :D

Answer: x minus y in parentheses to the third power.

Step-by-step explanation:

hmmmmmmmmmmmmmmmmmmm help for 30

Answers

Answer:

pants: 28.8 jacket: 7.2

Step-by-step explanation:

4/5 (36) = 28.8

36 - 28.8= 7.2

pls helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

A inbetween 4/10 and 5/10

B inbetween 30 and 40

C closer to the 8/10 but inbetween 9/10

D inbetween 20 and 30

E inbetween 2/10 and 3/10

F on the 5/10

which of the following pairs of triangles can be proven by ASA?​

Answers

Answer:

B

Step-by-step explanation:

The number of termites in a nest in any given month can be represented by the
function f(t) = 4(3)^t where t represents the number of months.

The number of ants in a box can be represented by the function represented by the
table:

Months
0-1-2-3-4
Number 20-45-101-228-513

What is the positive difference in the number of termites and the number of ants in
the fourth year?

Answers

im pretty sure the answer is 189

The positive difference in the number of termites and the number of ants in the fourth month will be 189. Option B is correct.

What is the application of subtraction?

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

It is given that, the number of termites in a nest in any given month can be represented by the function [tex]\rm f(t) = 4(3)^t[/tex].

For the fourth month,

f(4) = 4(3)⁴

f(4) = 324

From the table, it is observed that the number of ants in four months is 513.

The positive difference in the number of termites and the number of ants in the fourth month is found as,

=513-324

=189

Thus, the positive difference in the number of termites and the number of ants in the fourth will be 189. Option B is correct.

Learn more about the application of subtraction here:

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Evaluate – b^4 when b=-8

Answers

Answer:

4096

Step-by-step explanation:

b = -8, Plug in:

b^4

(-8)^4

4096

Hopefully this helps!

Brainliest please?

Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, dd, it will take Katie to collect over 100 seashells.And please demonstrate it on a number line

Answers

Answer:

full answer na po yarnnnnnnnn

For the standard normal distribution, the area between z = 0 and z = 1.70, rounded to four decimal places, is:

Answers

Using normal distribution table, the area between z=0 and z=1.70 is the difference between p(z=0) and p(z=1.70). Hence, the area between z=0 and z = 1.70 is 0.4554

Using a normal distribution table :

P(Z < 0) = 0.5

P(Z < 1.70) = 0.95543

The Area between z=0 and z= 1.70 is defined as the difference between the probabilities of (z < 1.70) and (z < 0)

P(Z < 1.70) - P(Z < 0) = 0.95543 - 0.5 = 0.45543

Therefore, the area between z = 0 and z = 1.70 rounded to four decimal places is 0.4554

Learn more :https://brainly.com/question/25273131

A line includes the points (0, 1) and (4, 8). What is its equation in slope-intercept form?

Answers

The answer is Y=7/4x+1
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