What is the answer to this?
(2i-6)(3i-9)

Answers

Answer 1

Remember that i² = -1. Using FOIL...

(2i-6)(3i-9) = 6i²-36i+54

Now simplify by subbing in -1 for i².

6(-1)-36i+54 = 48-36i

answer: 48-36i


Related Questions

find the domain and range (0,1), (3,1), (3,9)

Answers

Answer:

domain={0,3}

range={1,9}

Step-by-step explanation:

Your credit score is 580. Your current credit card limit is $2,000. Your current credit card balance is $1,950. If you shrink your debt balance by 13% each month for 12 months what will your balance be?

Answers

Answer:

$366.66

Step-by-step explanation:

Final answer:

You start with a credit card balance of $1950. If you reduce this balance by 13% each month for 12 months, using the formula for geometric series (a(r^n)), your final balance at the end of 12 months will be approximately $452.98.

Explanation:

The student's question is asking about reducing a credit card debt balance by a fixed percent each month. In this case, the student is reducing their debt by 13% every month for 12 months. To get a clear picture, let's go through this step by step.

Initially, the credit card balance is $1950. In the first month, the student reduces the debt by 13% which is $253.5. So, the remaining balance at the end of first month would be $1950 - $253.5 = $1696.5

This process is repeated each month. For example, in the second month, the student reduces the new amount of $1696.5 by 13%. The debt will continue to decrease in this manner each month.

To calculate the balance at the end of 12 months, we would use the formula for geometric series: a(r^n), where 'a' is the initial amount of debt($1950), 'r' is the percentage (1 - 13% or 0.87) and 'n' is the number of months (12).

Your final balance at the end of 12 months would be $1950*(0.87^12) which approximately equals $452.98. Hence, by reducing your debt by 13% each month for 12 months, your balance will be approximately $452.98. But remember, maintaining steady payments and not adding to the balance by new purchases is also important in managing credit card debt.

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Increase 750 g by 20%.

Answers

Answer:

900 g

Step-by-step explanation:

Increase by 20% means 120% of the value

120/100 × 750

900g

120 divided by 100 times by 750 should give you 900g and that’s how much it will be increased by

What is The midpoint of AB=(1,

Answers

The midpoint of AB is point G

Explanation:

The complete question has been attached below. As you can see, we have a line segment which is defined as a part of a line that is bounded by two different points that are at the end of the segment. So here we know that:

A is located at point -6.B is located at point 8

Therefore, the midpoint can be calculated as:

[tex]M:midpoint \\ \\ \\ M=\frac{A+B}{2} \\ \\ M=\frac{-6+8}{2} \\ \\ M=1[/tex]

So the midpoint is [tex]M=1[/tex] that matches point G. Finally:

Conclusion: The midpoint of AB is point G

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10. Calculate 18% of 75 to one decimal place.

Answers

First write 18% as a decimal by moving the decimal point two places to the left to get .18.

The word "of" means multiply, so we have (.18)(75) which is 13.5.

Answer:

13.5

Step-by-step explanation:

18% of 75

18% /100% x 75

0.18 x 75

13.5

5 (2 x + 1 )= 50 please help me​

Answers

Answer:

x = 4.5.

Step-by-step explanation:

5(2x + 1) = 50

10x + 5 = 50

10x = 50 -  5

10x = 45

x = 4.5.

Help please!!! Show how you go the answer too

Answers

Answer:

Step-by-step explanation:

If QPS is a right angle we know a right angle equals 90 degrees. so you can find your answer by doing 90-35.

Therefore getting 56.

Hope this helps :)

Find the value of y. y-62=-86

Show how you got the answer

Answers

Answer:y=-24

Step-by-step explanation:

Move all terms not containing

y

to the right side of the equation.

Which of the following linear equations has the steepest slope?

Answers

Answer:

D

Step-by-step explanation:

Answer: y = 8x +1

If you put the gradient (8x) into a fraction, it would be 8/1.
As for the rest, they would be: 2/3, -4/1 and 1/7.

Using the rise/run method, the fraction that has the highest ‘rise’ number will be steeper.

The fraction that has the highest rise is 8/1, so that has the steepest slope out of the rest.

If the nth term of an A.P. is 3n+2, find the sum of first 'n terms of that AP.​

Answers

Answer:

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] (3n + 7)

Step-by-step explanation:

We require to find the first term a₁ and the common difference d

The n th term is given by 3n + 2, thus

a₁ = 3(1) + 2 = 3 + 2 = 5

a₂ = 3(2) + 2 = 6 + 2 = 8

d = 8 - 5 = 3

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ], substitute values

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ (2 × 5) + 3(n - 1) ] = [tex]\frac{n}{2}[/tex] (10 + 3n - 3) = [tex]\frac{n}{2}[/tex] (3n + 7)

Answer:

Sn = (3/2)n² + (7/2)n

Step-by-step explanation:

Sn = (n/2)[2a + (n-1)d]

a = 3(1)+2 = 5

d = second term - 5 = 3(2)+2 - 5 = 3

Sn = (n/2)[2(5) + (n-1)(3)]

= (n/2)[10 + 3n - 3]

= (n/2)(7 + 3n)

Sn = (3/2)n² + (7/2)n

how do you get b? show me how if you can, please.

Answers

Answer:

<ABC = 98.

Step-by-step explanation:

We know that the triangle is lying on a flat line, which is 180 degrees. We know that angle ABC and angle CBD are supplementary as they both use line ABD as their transversal.

Set up the equation (3 + 5x) + 82 = 180.

Solve for x, and you get 19.

Plug it back in to (3 + 5x), we get <ABC = 98.

In country​ A, about three times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 26 comma 416​, find the number manufactured in country B and the number manufactured in country A.

Answers

Answer:

country a = 19,812 cars

country b = 6,604 cars

Step-by-step explanation:

a = country a

b = country b

the 2 eqations are:

a + b = 26,416

a = 3b

now substitute 3b for a in the first equation:

3b + b = 26,416

add the variables:

4b = 26,416

now divide 26,416 by 4 (26,416/4)

b = 6,604

so country b has 6,604 cars

to find country b, substitute the number of cars in country b (which is 6,604) in the second equation:

a = 3b

a = 3 × 6,604

a = 19,812

so country a has 19,812 cars

Ami is having a pizza party on Saturday night. She ordered 8 pizzas. If the average person eats 1/3 of a pizza, how many persons will 8 pizzas serve

Answers

Answer:

The answer is 24

Step-by-step explanation:

If each person eats 1/3 of the pizza then that means it takes 3 people to eat a whole pizza so you multiply three times 8 and you get twenty four.

What are the dimensions of the rectangle shown on the coordinate plane? On a coordinate plane, a rectangle has points (1, -1), (10, -1), (10, -5), (1, -5). The base is 3 units and the height is 9 units. The base is 9 units and the height is 4 units. The base is 10 units and the height is 4 units. The base is 11 units and the height is 6 units.

Answers

The dimensions of the rectangle shown on the coordinate plane is The base is 9 units and the height is 4 units.

Option: B.

Step-by-step explanation:

We are given with the coordinate points of a rectangle.

The points are  (1, -1), (10, -1), (10, -5), (1, -5).

From the given graph, the bigger side is the base and the height is the smaller side.

The points  (1, -1), (10, -1) and (1, -5), (10, -5) can be used to find the base of the rectangle.

The points (10, -1), (10, -5) and  (1, -1), (1, -5) can be used to find the height of the rectangle.

Let us find the base using coordinate point (1, -5), (10, -5) .

Since the base runs horizontally on the x-axis, we have to find the run.

run = [tex]x_2-x_1[/tex].

run = 10-1.

run (base)= 9 units.

Let us find the base using coordinate point (10, -1), (10, -5) .

Since the height runs vertically on the y-axis, we have to find the rise.

rise = [tex]y_2-y_1[/tex].

rise = -5-(-1).

rise=-5+1.

rise (height)= 4 units.      ( Units are always measured in positive.)

The base is 9 units and the height is 4 units.

please help i will mark brainliest 50 points

Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag. Then, he asks each student to come to his desk, select five note cards out of the bag, define those five terms, and then put the note cards back in the bag. He records the number of terms each student is correctly able to define.

What is the population in this situation? What is the sample? Use complete sentences in your answer.
Do you think the data from the sample Mr. Wilson is collecting is representative of the population? Explain your reasoning using complete sentences.

Answers

The population in this situation is all the terms that the teacher taught this semester and that are represented in the note cards and put in the paper bag.

Explanation:

The population in this situation of Mr Wilson is all the terms that the teacher taught this semester and that are represented in the note cards and put in the paper bag. The sample is every set of 5 note cards that is selected by the students.

The data is representative of the population because they are selected randomly without bias. Every of term has the same probability of being selected. Also it given that the cards are replaced every time, so all the students will face the same population when they are going to select a sample.

Juanita has 102 beads to make n necklaces. Each necklace will have 17 beads.

Answers

Answer:

There will be 6 necklaces

Step-by-step explanation:

102/17 is 6

Answer:Juanita can make 6 bracelets.

Step-by-step explanation:

Divide 102 and 17 then you should get 6.

PLS ANSWER AND LOOK UNDER THE QUESTION TOO :)))

What is the solution to the following system of linear equation?

y= 2x+3

y= -1/2x -2


A. (2,1)


B. (-1,-2)


C. (1,2)


D. (-2,-1)



if anyone's parents dont accept them for the way they are or they dont feel accepted then i just wanted to say them im ur new fam now and i luv ya <333333333333333

Answers

D. (-2,-1)

Hope it helps you.

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = - [tex]\frac{1}{2}[/tex] x - 2 → (2)

Since both equations express y in terms of x, equate the right sides

2x + 3 = - [tex]\frac{1}{2}[/tex] x- 2

Multiply through by 2 to clear the fraction

4x + 6 = - x - 4 ( add x to both sides )

5x + 6 = - 4 ( subtract 6 from both sides )

5x = - 10 ( divide both sides by 5 )

x = - 2

Substitute x = - 2 into (1) for corresponding value of y

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

Solution is (- 2, - 1 ) → D

To add 547+ 327, would you need to regroup ?​

Answers

Answer:

yes

Step-by-step explanation:

when addi g the ones place it would result in 14 so u would need to regroup the 1 into the tens place

simplify the expression -2-17+12-(-4)

Answers

Answer:

- 3

Step-by-step explanation:

hello:

-2-17+12-(-4)=(-2-17)+(12+4)= -19+16= -3

Answer:

-3

Step-by-step explanation:

-2-17+12-(-4)

From BODMAS, we begin witht the bracket

=-2-17+12+4

= -2-17+16

= -19+16

= -3

I WILL MARK BRAINLIEST TO WHOEVER GETS IT FIRST.
Convert 2000 ft per minute to miles per hour. Round to the nearest tenth.

Answers

Answer:

22.7

Step-by-step explanation:

The correct answer is 22.7

(12 – 8)3 – 24 x 2
Evaluate the expression

Answers

I believe that the answer is -36.
do whats in the parentheses first, so 12-8=4 then 4x3=12 and 24x2=48 last step you do 12-48 which would equal -36

PLZZZ HELP ASAP!!!!! Part A: Explain how to write an equivalent expression for 3(4x + 2) using the distributive property. Part B: Prove the 2 expressions are equivalent by substituting x = 2 into both expressions. *

Answers

3(4x + 2)

= 3 . 2(2x + 1)

= 6(2x + 1)

proof

• 3(4x + 2)

= 3(4(2) + 2)

= 30

• 6(2x + 1)

= 6(2(2) + 1)

= 30

A rectangular bathroom floor is covered with square tiles that are 1 1/2 feet by 1 1/2 feet. The length of the bathroom floor is 10 1/2 feet and the width is 6 1/2 feet

Answers

Answer:

The number of square tiles required to cover the bathroom floor is approximately 31.

Step-by-step explanation:

The dimensions of the rectangular floor of the bathroom are:

Length = 10.5 ft.

Breadth = 6.5 ft.

The dimensions of the square tiles are:

Side = 1.5 ft.

The area of the rectangular floor of the bathroom is:

[tex]Area\ of Bathroom\ floor=Length\times Breadth\\=10.5\times6.5\\=68.25[/tex]

The area of 1 square tile:

[tex]Area\ of\ 1\ square\ tile=(SIde)^{2}\\=(1.5)^{2}\\=2.25[/tex]

The number of tiles required to cover the bathroom floor is:

[tex]Number\ of\ tiles=\frac{Area\ of\ bathroom\ floor}{Area\ of\ 1\ square\ tile} \\=\frac{68.25}{2.25}\\ =30.3333\\\approx31[/tex]

Thus, the number of square tiles required to cover the bathroom floor is approximately 31.

Which equation best describes the graph of the line that has slope-1/3 and passes through point
(3.-9)?​

Answers

Answer:

y=-1/3x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-1/3(x-3)

y+9=-1/3x+3/3

y+9=-1/3x+1

y=-1/3x+1-9

y=-1/3x-8

The product of 6.3 and g increased by 14

Answers

Answer:

Step-by-step explanation:

6.3g + 14

Answer:

6.3g + 14

Step-by-step explanation:

how to solve 3(x+4)-2(x+4)

Answers

3x+12-2x-8 then simplify it to x+4

Answer:

1.Distribute values

(3x+12)-(2x+8)

2.Add common terms

x+4

Please give me the answer and explain how you got it.

Answers

The measure of m∠KPN is 68°.

Step-by-step explanation:

From the given diagram, we are given with lines passing through a point P creating different angles.

Data given,

m∠KPN = 4x°.

m∠NPO = (x+5)°.

And m∠KPO= 90°.

The m∠KPO is spitted into m∠KPN and m∠NPO.

Thus the sum of m∠KPN and m∠NPO will be m∠KPO.

m∠KPN + m∠NPO =m∠KPO.

Substitute the values to find x value.

4x°+(x+5)°= 90°.

(°5x+5)=90°.

5x°=90°-5°.

5x°=85°.

x=[tex](\frac{85}{5} )[/tex].

x= 17.

⇒m∠KPN = 4x°.

=4(17)°.

m∠KPN =68°.

Thus the measure of m∠KPN is 68°.

2/5 with an exponent of 3

Answers

Answer:

2/5 with an exponent of 3 is 8/125 or 0.064

Step-by-step explanation:

Given:

A fraction = 2/5

Exponent = 3

To find the value of the fraction using the exponent.

We know that :

⇒ [tex](a)^3=a\times a\times a[/tex]  

The exponents is the number of times a number is multiplied.

So,

⇒ [tex](\frac{2}{5})^3[/tex]

⇒ [tex]\frac{2\times 2\times 2}{5\times 5\times 5}[/tex]

⇒ [tex]\frac{8}{125}[/tex]

On further division the number can be written as 0.064

Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. Find the measure of each angle

Answers

15° and 165°

Step-by-step explanation:

Step 1 :

Let x and y denote the angles with x as the smaller angle and y as the larger angle

When 2 angles are supplementary, the sum of both the angles is 180 degrees.

Hence x + y = 180

Step 2:

Given that the larger angle is 15 more than 10 times the smaller angle

Hence y = 15 + 10 x

Step 3 :

Solving for the 2 equations we have

11x = 165 => x = 15

=> y = 180-15 = 165

Hence the 2 angles are 15 and 165 degrees.

Find the final price on a $1049 television that is on sale for 12% off if the sales tax is 4.5%

Answers

Final answer:

The final price of a $1049 television on a 12% sale, with a 4.5% sales tax, is $964.66.

Explanation:

The final price on a $1049 television that is on sale for 12% off can be found by deducting the discount from the original price, and then adding the sales tax on the discounted price.

First, let's find the discount: 12% of $1049 is (12/100)*1049 = $125.88. So, the price after discount would be 1049 - 125.88 = $923.12.

Next, we need to add the 4.5% sales tax. Sales tax is calculated on the discounted price, so 4.5% of $923.12 is (4.5/100)*923.12 = $41.54.

Finally, we add the tax to the discounted price to get the final price: $923.12 + $41.54 = $964.66. So, the final price of the television is $964.66.

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