Simplify the expression (2 – 3i)(4 +
2i).

Answers

Answer 1

Answer:

14 - 8i

Step-by-step explanation:

Answer 2

The simplified expression is 14 - 8i.

Given is an expression (2 - 3i)(4 + 2i), we need to simplify it,

To simplify the expression (2 - 3i)(4 + 2i), we can use the FOIL method, which stands for First, Outer, Inner, Last.

First, we multiply the first terms of each binomial:

2 x 4 = 8.

Outer, we multiply the outer terms of each binomial:

2 x 2i = 4i.

Inner, we multiply the inner terms of each binomial:

-3i x 4 = -12i.

Last, we multiply the last terms of each binomial:

-3i x 2i = -6i².

Now, simplify the expression:

8 + 4i - 12i - 6i².

Since i² is defined as -1, we can substitute it:

8 + 4i - 12i - 6(-1).

Simplify further:

8 + 4i - 12i + 6.

Combine like terms:

14 - 8i.

Therefore, the simplified expression is 14 - 8i.

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Related Questions

(PLEASS HELP ME ITS EASY) A pie crust calls for two cups of butter for each three cups of flour elliette is making enough crusts to use up eight cups of flour how many cups of butter will she need

Answers

Answer:

5 1/3 cups

Step-by-step explanation:

pls help me i will name u brainiest

Answers

Answer:

1.)6 bottles

2.) 2.50 and 10

3.) 5 and 1 if you graph both of the equation, they both intersect at (5,1)

Step-by-step explanation:

HELPPPPL jjdnnskkzzmzmz

Answers

Answer:

B. {(-3, 4), (-8,0), (3, -8), (-3, -4)}

Step-by-step explanation:

B. is not a function because the x's repeat in this one.

If the x's repeat then it is not a function.

{(-3, 4), (-8,0), (3, -8), (-3, -4)}

The -3 repeats so it is not a function.

Y can repeat, but x cannot.

Hope this helps ya!!

Which ones are Whole numbers?
π
-0.5
0
1123

Answers

Answer:

0 and 1123

Step-by-step explanation:

The correct answer is 0 and 1123
Plz mark brainlyest

can someone help me !

Answers

Answer:

answer d

Step-by-step explanation:

Answer:

its 8

Step-by-step explanation:

help me, please i im failing maath 41 f

Answers

Answer:

C

Step-by-step explanation:

There can be no more than 835 people in the concert hall.

What inequality represents the number of people, p, allowed in the concert hall?

Drag and drop the appropriate symbol to correctly complete the inequality.

p Response area835

Answers

the inequality is 835>p . i hope this helped !!

Find the value of f(7) if f(x) = x - 10.

Answers

the value of f(7) if f(x) = x - 10 is -3

The value of the f(7) is -3 if the function is f(x) = x – 10 after plugging x = 7 in the function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = x -10

The above function represents the linear function.

To find the value of f(7) plug x = 7 in the function.

f(7) =  7–10

f(7) = -3

Thus, the value of the f(7) is -3 if the function is f(x) = x – 10 after plugging x = 7 in the function.

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Grant bought strawberries and bananas from the grocery store to make smoothies. The total amount he spent can be represented by the expression 1.8s + 0.65b, where s is the number of pounds of strawberries and b is the number of pounds bananas. If Grant bought 2.7 pounds of strawberries and 1.4 pounds of bananas, how much did he spend? Amount spent can be represented by the exper

Answers

Answer:

$5.77

Step-by-step explanation:

Given expression:

1.8s + 0.65b

where,

s = the number of pounds of strawberries

b = the number of pounds bananas

If Grant bought 2.7 pounds of strawberries and 1.4 pounds of bananas

s = 2.7 pounds

b = 1.4 pounds

how much did he spend?

1.8s + 0.65b

= 1.8(2.7) + 0.65(1.4)

= 4.86 + 0.91

= $5.77

He spent $5.77 on both items

WILL GIVE BRAINLIEST. 8.) what is the measure of ABC in the figure below?
9.) if XYZ measures 88° what is the measure of XYP in the figure below?
10.) if BAP - CAP, what is the length of AC in the figure below?

Answers

Answer:

I am pretty sure it is 14 but If not I'm sorry

A scatter plot with a trend line is shown below. Which equation best represents the given data?

y=1/2x+2

y=1/2x+5

y=2x+5

Answers

Y=1/2x+5





YEASSSSSIRRRRRR

Answer:

y=1/2x+5

Step-by-step explanation:

the y intercept is headed for five so we can cross off y=1/2x+2 and the slope is the flat to be 2x it has to be a slope of 1/2 it's much closer.

The only logical answer is y=1/2x+5

The ratio in simplest form

Answers

It’s already in it’s simplest form!

Probability 1 There is a chance of a spinner landing on blue. Which statement is true? A lis unlikely that the spinner lands on blue. B. It is likely that the spinner lands on blue. C. It is impossible for the spinner to land on blue. D. It is certain that the spingerlands on blue.​

Answers

Answer:

B makes most sense.

Step-by-step explanation:

In a graph, x represents the number of months since a
business opened, and y represents the total amount of
money the business has earned. The following three
points are from the graph:
(2, 1990) (5, 4225) (9, 7205)
Find the slope and y-intercept. Explain what each
represents.

Answers

Answer:

My answer: To find the Slope the first we would need to use is the Slope-Intercept Formula. Y=mx+b. So 7205-4225=2980 and 9-5=4 So then you have to divide 2980/4=745 So the slope is 745. To find the Y-Intercept (b) we need to use the formula again. 4225= 745(5)+b so 745x5=3725 so we subtract on both sides 3725 is cancelled so 4225-3725=500 So the y-intercept is 500

Sample Response: The slope of this scenario is 745. The slope represents the profit made each month.

Step-by-step explanation:

The two answers above are right.


Could someone please help me out

Answers

Answer:

1: 3/1 also just 3

2: 0 also known as the origin

3: y=3x

Step-by-step explanation:

Solve the inequality − 3 x + 6 > 15

Answers

Answer:

The Answer to your question is x<-7 Hope This could Help

Step-by-step explanation:

Answer:

x<−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3x+6>15

Step 1: Subtract 6 from both sides.

−3x+6−6>15−6

−3x>9

Step 2: Divide both sides by -3.

−3x/−3>9/−3

pls mark as brainliest

Espadol
Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $4.05 per pound, and type B coffee costs $5.40 per
pound. This month, Yolanda made 153 pounds of the blend, for a total cost of $699.30. How many pounds of type A coffee did she use?
Number of pounds of type A coffee:(
5
?

Answers

Answer:

94 pound of type A

Step-by-step explanation:

Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?

Equation:
1
4
a +
1
3
a + 8 = 22

Carrie’s allowance was $

Answers

24 dollars.

1/4 + 1/3 = 3/12 + 4/12 = 7/12

7/12 a + 8 = 22

7/12 a = 14

a = 14 x 12/7

a = 24 dollars

Help me please these are for my finals. ! :(

Answers

Answer:

negitive

Step-by-step explanation:

good luck on finals

John runs 15 miles in 3 hours how many miles can john runs per hour

Answers

Answer:25

Evan has a summer job to pick berries on a farm.

• He earns  

$

2.0$2.00 every

15

15 minutes that he picks strawberries.

• He earns  

$

2.40

$2.40 for every

15

15 minutes that he picks blueberries.

• He picked strawberries for an hour and blueberries for

45

45 minutes.

How much money did Evan earn?

Step-by-step explanation:

Answer:

john can run 5 miles in one hour

Step-by-step explanation:

15 divided by 3 = 5

A peach pie is made with 13 peaches, which are evenly distributed throughout the pie. If Joe ate one slice of pie that contained exactly 5 peaches, what wqs the angle measure of the slice to the nearest tenth of a degree?

Answers

Answer:

138.5°

Step-by-step explanation:

A peach pie is in the form of a circle. The sum of angles in a pie is equal to 360°.

Since there are 13 peaches evenly distributed, therefore each peach occupies 360/13 degrees.

Joe ate one slice of pie that contained exactly 5 peaches, hence:

Angle measure of slice = (number of peaches in the slice / total number of peaches) * 360°

Angle measure of slice = (5 / 13) * 360°

Angle measure of slice = 138.5°

whats the slope of y= 1 over 2x-2

Answers

Use Cymath to find your answer

PLEASE HELPP I REALLY NEED TO GET THESE RIGHTT ILL GIVE BRAINLIEST (MORE ON MY PAGE PLS IF U CAN HELP)

Answers

Answer:There are infinitely many real solutions

Step-by-step explanation:

6 and 3 fourths plus 3 and 1 eighth
what is the answer?

Answers

Answer:

[tex]9\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]6\frac{3}{4} + 3\frac{1}{8}[/tex], You have to make it so they have a common denominator

[tex]6\frac{6}{8}+ 3\frac{1}{8}[/tex]

This would make the answer

[tex]9\frac{7}{8}[/tex]

PLEASE HELP ME WITH THIS I NEED IT...

Answers

8. B, X=21
9. D X=16, Y=10
10. D X=7

Answer:

8.) c

9.) d

10.) d

Step-by-step explanation:

8.) These are same side interior angles so they have a different measures that equal up to 180.

75 + 4x - 9 = 180 (collect like terms)

4x + 66 = 180 (subtract 66 on both sides)

4x = 114 (divide by 4 on both sides)

x = 28.5

9.) 8x -14 and 5x + 34 are alternate exterior angles so the equal the same measure.

8x - 14 = 5x + 34 (add 14 on both sides)

8x = 5x + 48 (subtract 5x on both sides)

3x = 48 (divide by 3 on both sides)

x = 16 NOW PLUG IN TO 8x - 14 to find y

8(16) - 14 + 5y + 16 = 180 (distribute and collect like terms)

130 + 5y = 180 (subtract 130 on both sides)

5y = 50 (divide by 5 on both sides)

y = 10

10.) They have the same measure they are alternate exterior angles

16x + 22 = 134 (subtract 22 on both sides)

16x = 112 (divide by 16 on both sides)

x = 7

Hope this helps ya!!

Bill found a pair of running shoes for $57. The regular price was $68.99. He also found a sweat suit that was originally $37.80. It was marked down to 25%. Find his total savings.​

Answers

Answer:

$9.45 + $11.99 =$21.44

D is the answer

28. (03.05 MC) Martin walked away from his school at a constant velocity for the first 30 seconds. He realized that he had to pick up a book from his friend's house which he had already passed. He turned around and walked to his friend's house at a constant velocity for 10 seconds. He stopped at his friend's house for 40 seconds and then walked away from school again at a constant velocity for the next 20 seconds. Which of the following graphs best represents Martin's motion? (5 points) First straight line joins ordered pairs 0, 0 and 40, 25, second straight line joins 40, 25 and 80, 25, and third straight line joins 80, 25 and 100, 10 First straight line joins ordered pairs 0, 0 and 30, 25, second straight line joins 30, 25 and 40, 20, and third straight line joins 40, 20 and 100, 50 First straight line joins ordered pairs 0, 0 and 30, 25, second straight line joins 30, 25 and 40, 20, third straight line joins 40, 20 and 80, 20, and fourth straight line joins 80, 20 and 100, 10 First straight line joins ordered pairs 0, 0 and 30, 25, second straight line joins 30, 25 and 40, 20, third straight line joins 40, 20 and 80, 20, and fourth straight line joins 80, 20 and 100, 50

Answers

Answer:

The answer is A

Step-by-step explanation:

I did it in FLVS

Ducklings cost $15 each. Chicks cost $12 each. You have $60 to spend on poultry

Answers

Answer:

If your question is how much money you have after you purchase a duckling and a chick, your answer would be $33. It seems to me like you posted the question without finishing it. I'm guessing you were about to mention how many ducklings and chicks you were going to buy and how much money you would have leftover for the poultry.

Step-by-step explanation:

To solve your problem you must add what you're buying and then subtract from your original amount.

For example: if you want one duckling and one chick and you would like to know how much money you have leftover to buy poultry. $15 + $12= $27 dollars in all. Then, you will subtract $27 dollars from $60, this way you know how much money you will have left in order to buy the poultry. $60 - $27= $33.

please help me out thanks!

Answers

Answer:

[tex]\frac{-1}{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

[tex]\frac{b+7}{2a}[/tex]

a = -4

b = -6

Step 2: Evaluate

Substitute:                     [tex]\frac{-6+7}{2(-4)}[/tex]Multiply:                         [tex]\frac{-6+7}{-8}[/tex]Add:                               [tex]\frac{1}{-8}[/tex]Rewrite:                         [tex]\frac{-1}{8}[/tex]

Find the missing side length of the right triangle below

Answers

the missing side length should be 7

The length of base of the triangle is given by BC = 7 feet

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle BC = a

Let the hypotenuse of the triangle be c = 25 feet

Let the height of the triangle be b = 24 feet

And , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the base BC = √ ( 25 )² - ( 24 )²

The base of the triangle BC = √ ( 625 - 576 )

The base of the triangle BC = √ ( 49 )

The base of the triangle BC = 7 feet

Hence , the length of base of triangle is 7 feet

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