50 points!
Divide the following polynomial
(a^2n - a^n - 6) (a^n + 8)

using long division explain every steps plz

Answers

Answer 1

Answer:

The answer is a^n+2n+8a^2n-a^2n-14a^n-48.

Step-by-step explanation:

1. Use the distributive property.

Multiply the second parenthesis by each term from the first parenthesis.

2. Remove the parenthesis.

Distribute a^2 through the parentheses.Distribute -a^n through the parenthesis.Distribute -6 through the parenthesis.

3. Collect like terms.

Hope this helps and if you could mark me as brainliest. Thanks!

Answer 2

The factored form of  (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8) is

(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8).

In case of long division in the quotient well multiply the first term of the divisor 'aⁿ' with such a number that it becomes equal to the first term of the dividend, Now aⁿ×aⁿ is a²ⁿ.

∴  (a²ⁿ - aⁿ - 6)/(aⁿ + 8) is,

(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).

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Related Questions

Last year, the cost of a family-sized dinner at a picnic was $8.50. This year, the cost is $11.56. What is the percent of increase of the price? ( I need a step-by-step explanation not just the answer) ill give brainliest

Answers

to find the percentage increase, take the price increase divided by the original price :
price increase = $11.56 - $8.50 = $3.06

percentage increase = $3.06/$11.56 x 100%
= 26.47% (or 26.5%)

hope the explanation was able to help!!

MULTI-QUESTION
What is the rise from point A to point D?
What is the run from point A to point D?
Write the fraction of rise over run from A to D (reduce if possible)
Find the rise from Point C to point B.
Find the run from Point C to Point B.
Write the fraction of rise over run from C to B.
Does the line have a positive or negative slope?
What is the slope of line AD?

Answers

Answer:

See below

Step-by-step explanation:

What is the rise from point A to point D?

8 units

What is the run from point A to point D?

4 units

Write the fraction of rise over run from A to D (reduce if possible)

8/4= 2

Find the rise from Point C to point B.

2 units

Find the run from Point C to Point B.

1 unit

Write the fraction of rise over run from C to B.

2/1=2

Does the line have a positive or negative slope?

Positive

What is the slope of line AD?

Slope = rise/run = 2

solve this question 15+18/4​

Answers

Answer:

the answer is

Step-by-step explanation:

15+8/4=8

15+8=32

32÷4=8

Answer:

15+18/4=8.25

Step-by-step explanation:

if u divide 33 by 4

5 points
12. A man drove 350 miles in 4.5 hours. If the posted speed limit was 65
mph (miles per hour) the entire way, approximately how many miles per
hour over the speed limit was he going?*
O 1 mph
O 5 mph
O 13 mph
O 78 mph

Answers

Answer: 13

Step-by-step explanation:

A bicycle store costs $3600 per month to operate. The store pays an average of $80 per bike. The average selling price of each bicycle $120. How many bicycles must the store sell each month to break even?

The store must sell ____ bicycles each month to break even.
(Type a whole number)

Answers

Answer:

90 bikes.

Step-by-step explanation:

The bike store earns:

(120-80) = 40 dollars per bike sold.

Hence, to break even, the store must sell:

3600/40 = 90 bikes per month.

Hope this helped!

(8p + 3w)2=
Cual es el resultado de Esta operacion

Answers

Answer:

18p + 6w

Step-by-step explanation:

I don't speak Spanish so here is some way I can explain it

No hablo español, así que aquí hay una forma de explicarlo.

using distribute property, get 2(8p) + 2(3w) = 18p + 6w

Answer:

[tex]16p + 6w[/tex]

STEP BY STEP

(8P+3W)2

=(8P+3W)(2)

=(8P)(2)+(3W)(2)

=16P+6W

Four siblings have a dog walking business. The table shows the hours worked by sibling. sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15, where h represents the number of hours Michael worked. Sibiling Hours Worked Martin 2. 5h +3 Emillo 4(h – 2) Michael Mario 31 What was the total amount the siblings earned?​

Answers

Answer:

I couldn't find out how many hours Michael worked but the total amount is $1504.50

Step-by-step explanation:

Calculate the following speed.

Distance = 800 m, time = 50 sec

Answers

Answer:

16m per second

Step-by-step explanation:

Answer:

16 m/sec

Step-by-step explanation:

Formula

S = d/t

s = 800/50

s = 16 m/sec

could someone please help me with #7 and #8?

Answers

Answer: I'm not sure If i'm right because I did this since 8th grade.

For number 7, I think it would be (the equation form)= 6 x  +  16

For number 8, I think it would be nothing because there is no solution.

Hope this helps:)

7. Plug in 3x + 8 for y in second equation
2(3x + 8) = 6x + 16
6x + 16 = 6x + 16
It would be all solutions

8. Plug in 4x + 5 for y in second equation
12x - 3(4x + 5) = 9
12x - 12x - 15 = 9
12x cancels out
-15 = 9
There would be no solution

Sheila picks for 1 1/4 pounds of blueberries for $10 how many pounds can she pick for $1​

Answers

Answer:

0.125 pounds of blueberries

Step-by-step explanation:

Trust me

Answer:

1/8

Step-by-step explanation:

1 1/4=1.25

1.25/10=0.125

0.125 in the simplest fraction form is 1/8

hope this helps :3

if it did pls mark brainliest

9.5 +5² - 2² (-3)rasied to the 2nd power

Answers

-1.5 dndekekckcl fkckkcekekxk k

14. The first tree on the left is 8cm tall and is 30cm from the vanishing point. If the third tree is 20em from the

vanishing point, how tall is it?

d.

160 cm

8 cm

C.

b. 0.1875 cm

a.

5.3 cm

Answers

Answer:

5.3cm

Step-by-step explanation:

Step one:

given data

First tree

the tree is 8cm tall

and 30cm from the vanishing point

Third  tree

let the tree be x cm tall

and 20cm from the vanishing point

Step two:

if 8cm tree will be 30cm at the vanishing point

then x cm tree will be 20cm at the vanishing point

cross multiply we have

x= (20*8)/30

x=160/30

x=5.3cm

The third tree is 5.3cm tall

Which integer represents a temperature of 9 degrees below freezing?

Answers

Answer:

Step-by-step explanation:

Freezing is 32 degrees F.

32-9= 23 degrees F.

Can anyone help me ??

Answers

Answer:

16

Step-by-step explanation:

2 times 2 = 4 times 4= 16 times 1= 16

Answer:

16

Step-by-step explanation:

f(x)=6x+5 and g(x)=2x-4

Answers

Step-by-step explanation:

1.)you find

f(g(x))

2)set up the composition function and evaluate

f(2x+4) = -12x - 19

What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?
i included pictures please help it closes tonight

Answers

Answer:

Point slope form: y-y₁=m(x-x₁)

Slope-Intercept form is y=mx+b....

Slope formula is m=y-y/ (over) x-x

Step-by-step explanation:

Nov 27, 8:06:26 PM
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
14
10
Answer:
Submit Answer

Answers

Answer:

The area of given figure is: 179.3

Step-by-step explanation:

The figure consists of a rectangle and a semi-circle

The length of rectangle is 14 and width is 10.

The width of rectangle is also the diameter of the semi-circle.

So,

d = 10

[tex]r = \frac{d}{2} = \frac{10}{2} = 5[/tex]

Area of Semi-Circle:

[tex]C =\frac{ \pi r^2}{2}\\= \frac{3.14 * (5)^2}{2}\\=\frac{3.14*25}{2}\\=\frac{78.5}{2}\\= 39.25[/tex]

Area of Rectangle:

[tex]R = Length * Width\\R = 10*14\\R = 140[/tex]

The total area will be the sum of area of rectangle and the area of semi-circle

So,

[tex]Total\ Area = C + R\\= 39.25 + 140\\=179.25[/tex]

Rounding off to nearest tenth

The total area is: 179.3

Evaluate the surface integral SSs (x + y + z)ds, s is the parallelogram with parametric equations x = u + v, y = u - v, z = 1 + 2u +v, 0 <= u <= 2, 0 <= v <=1

Answers

The surface element is

dS = || ∂r/∂u  x  ∂r/dv || du dv

where

r (u, v) = x (u, v) i + y (u, v) j + z (u, v) k

r (u, v) = (u + v) i + (u - v) j + (1 + 2u + v) k

is the vector parameterization for the surface S.

The normal vector to the surface is

r/∂u  x  ∂r/dv

… = (i + j + 2 k)  x  (i - j + k)

… = 3 i + j - 2 k

and has norm

|| ∂r/∂u  x  ∂r/dv || = √(3² + 1² + (-2)²) = √(14)

Now compute the integral:

∫∫ (x + y + z) dS = √(14) ∫₀¹ ∫₀² ((u + v) + (u - v) + (1 + 2u + v)) du dv

… = √(14) ∫₀¹ ∫₀² (3u + v + 1) du dv

… = √(14) ∫₀¹ (3/2 u² + uv + u) |₀² dv

… = √(14) ∫₀¹ (8 + 2v) dv

… = √(14) (8v + 2v²) |₀¹

… = 10 √(14)

Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?

Answers

40

1000/25=40

You’re welcome

The number of books that can be fit on a shelf is 1 meter long and will be 40.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Kaelyn is reading a book.

The book's thickness is 25 millimeters.

Then the number of the books that can be fit on a shelf is 1 meter long will be

Let x be the number of the books.

The thickness of the book in meters will be 0.025 m.

Then we have

0.025x = 1

         x = 1 / 0.025

         x = 40

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helppppp me please .

Answers

Answer:

stuff

Step-by-step explanation:

180-72 = 108

a2 = 108º

a3 = 108

a4 = 72

a4+a6 = 180 so

a11+a13 + 180...

Which is the best estimate for the amount of grass in the lawn?

Answers

Answer:

What the question? I'm confused.

Answer:

what?????

Step-by-step explanation:

304,056 trying to represent the value of this number using expanded notation we give the answer but is giving us an error so we want to find out our error

Answers

Answer:

(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)

Step-by-step explanation:

We want to represent the value of this number using expanded notation

Mathematically, that will be;

(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)

= 300,000 + 0 + 4000 + 0 + 50 + 6

= 304,057

Consider the equation 5x + 7 = 2x + 28. Your tasks to explain the steps you would take, in
order, to solve the equation for x. Imagine that you are writing this for someone who is learning
about this process for the first time. You would be as specific as possible and write in complete
sentences.

Answers

Answer:

x=7

Step-by-step explanation:

Step 1: Put the variables and constants on the same side and change their signs so it'll look like this 5x-2x = 28 - 7, you always move the smaller number to either the left or right depending on its position in the problem.

Step 2: solve each side normally like this, 3x = 21

Step 3: to get x by itself divide 3 on both sides and you should get x=7

Here's a run through of the steps

5x+7=2x+28

   -7       -7(subtract 7 from both sides

5x=2x+28-7

-2x   -2x(subtract 2x from both sides)

5x-2x=28-7

3x=21

3x/3 = 21/3 (divide 3 from both sides)

x=7

At a sale, dresses were sold for 36% of their original price. If the dresses originally cost $200 each, how much did a dress cost on sale?

Answers

Answer:

Each dress would cost 72

Step-by-step explanation:

36% of 200 is 72

hurry and answer please

Answers

It's c (48)

because if you divide all of them its 3

4x - 3y = 1
-8x + 6y = -2

Answers

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

4x - 3y = 1

-8x + 6y = -2

Step 2: Rewrite systems

-8x + 6y = -2

Add 8x to both sides:                   6y = 8x - 2Divide 6 on both sides:                y = 4/3x - 1/3

Step 3: Redefine systems

4x - 3y = 1

y = 4/3x - 1/3

Step 4: Solve for x

Substitution

Substitute in y:                         4x - 3(4/3x - 1/3) = 1Distribute -3:                            4x - 4x + 1 = 1Combine like terms:                1 = 1

Here we see that 1 does indeed equal 1.

∴ x = all real numbers/infinite amount of solutions

Step 5: Graph

Check the systems.

We see that the 2 equations are the same line.

Vanessa made some purchases at Kroger. She bought two containers of blueberries for $3.25 each, three containers of strawberries for $2.50 each and one container of raspberries for $5.94. If sales tax is 3 ½%, how much will Vanessa pay for her items? Round to the nearest hundredth. Include your units

Answers

Add up all her items first
$3.25 + $2.50 + $5.94 = $11.69
Sale tax = 0.035
11.69 * 0.035 = 0.41
11.69 - 0.41 = $11.28

The ratio of the number of people who own a Samsung Galaxy to the number of people
who own an iPhone is 3 : 5. If 1,000 more people own an iPhone than a Samsung
Galaxy, how many people own each type of phone?

Answers

Answer:

answer and explanation below

Step-by-step explanation:

that means 2/5 is 1000 so 1/5 is 500 so 500times 3/5 is 500 times 3

so galaxy=1,500 and iphone=2,500 and 1,500/2,500 gets reduced to 3/5 so it is rigth

5 = 5/8x + 1/2x - 4 with work please :) its due in a couple minutes ​

Answers

Answer:

5/8x+1/2x-4=5

or, 5(2x-4)+8x= 5

or, 10x- 20+8x=5

or, 10x-8x= 20+5

or, 2x= 25

or,x= 25/2

:.x= 25/2

Step-by-step explanation:

first we have to make denominator then we can criss cross multiply. we can make in same point .if there is plus we can subtract and if there is front minus if we take it back it must be plus. then we can put same point then we can divide

(I'LL GIVE BRAINLIEST AND EXTRA POINTS FOR WHO EVER HELPS ME!! :) )


Solve five and six eighths plus four and four fifths.


A) nine and twenty two fortieths

B) nine and three twenty eighths

C) ten and twenty two fortieths

D) ten and eleven thirteenths


( Here is an image if needed):

Answers

Answer:

C

Step-by-step explanation

Answer:

C.)

Step-by-step explanation:

First, let's make it so that 6/8 and 4/5 have the same denominator.

Find the LCM: 40

8 ÷ 40 = 5

5 ÷ 40 = 8

Now that we have this info, let's convert the numerator to match the denominator.

4/5:

4 × 8 = 32

So... 4/5 = 32/40

6/8:

6 × 5 = 30

So... 6/8 = 30/40

Now let's add:

30/40 + 32/40

30 + 32 = 62

Therefore: 62/40

Now let's add those whole numbers: 5 + 4 = 9

Our answer: 9 62/40

Let's simplify: 10 22/40

Therefore, C is the correct answer.

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