Factor x4 – 81. Question 20 options: A) (x2 + 3)(x2 – 3) B) (x2 – 9)(x + 3)(x – 3) C) (x2 + 9)(x + 3)(x – 3) D) (x + 3)2(x – 3)2

Answers

Answer 1

Answer:

C is correct

Step-by-step explanation:

A square minus a square can always be factored into the square root of the 1st term plus and minus the square root of the 2nd term. So

x**4 - 81 = (x**2 + 9)(x**2 -9) = (x**2 + 9) (x + 3)(x - 3)


Related Questions

PLEASE HELPPP

Below is a function. Create an input/output table for the function. Choose 4 different inputs and complete the table.

y=2x-1

Answers

Answer:

y x

-1 0

1 1

3 2

5 3

This is a table that follows the above function

How much money will be in a bank account after 3 years if $9 is deposited at an interest rate of 5% compounded annually? Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

$13.1

An aircraft carrier can travel 450 km in the same time a container ship travels 300 km. If the aircraft carrier was travelling 5 km/h faster what was the speed of the container ship?

Answers

Answer:

10 Km/h

Step-by-step explanation:

Let the speed of the container ship be y

The speed of the aircraft = y + 5

Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:

Speed of aircraft (Sₐ) = y + 5

Distance travelled (dₐ) = 450 Km

Time for aircraft (tₐ) =?

Speed = distance / time

Sₐ = dₐ / tₐ

y + 5 = 450 / tₐ

Cross multiply

(y + 5) × tₐ = 450

Divide both side by (y + 5)

tₐ = 450 / (y + 5)

Finally, we shall determine the speed of the carrier. This can be obtained as follow:

Speed of container ship (S꜀) = y

Distance travelled (d꜀) = 300 Km

Time for container ship (t꜀) = Time for aircraft (tₐ)

Time for aircraft (tₐ) = 450 / (y + 5)

t꜀ = tₐ

t꜀ = 450 / (y + 5)

Speed = distance / time

S꜀ = d꜀ / t꜀

y = 300 ÷ 450 / (y + 5)

y = 300 × (y + 5) / 450

y = (300y + 1500) / 450

Cross multiply

450y = 300y + 1500

Collect like terms

450y – 300y = 1500

150y = 1500

Divide both side by 150

y = 1500 / 150

y = 10 Km/h

Thus, the speed of the container ship is 10 Km/h.

The dot plot below represents this set of data:
30, 29, 30, 28, 28, 27, 22, 28, 28, 22, 27, 26, 25, 27

Answers

Answer:

True

Step-by-step explanation:

All of them match up

A rectangle with an area of 3990 cm2 is x centimeters wide and (x+4) centimeters long. To the nearest tenth of a centimeter, the width and length are

Answers

Answer: width:60.2 cm

Length: 64.2 cm

Step-by-step explanation:

Given

The area of the rectangle is [tex]3990\ cm^2[/tex]

Width of the rectangle is [tex]x\ cm[/tex]

Length of the rectangle is [tex]x+4\ cm[/tex]

Area of the rectangle is the product of length and width

[tex]\therefore 3990=(x+4)x\\\Rightarrow 3990=x^2+4x\\\Rightarrow x^2+4x-3990=0\\\Rightarrow x=60.198\ or\ -65.198\ cm\\\text{Neglecting negative term}\\\Rightarrow x=60.198\approx 60.2\ cm[/tex]

Width of the rectangle is [tex]60.2\ cm[/tex]

Length of the rectangle is [tex]60.2+4=64.2\ cm[/tex]

Which graph shows a system with one solution?
Graph A
Graph B
y
Graph
SVy=
315
2
5
y=2x-1
5
-5
5
-5
y
+2y = 4x – 2
O A. Graph A
B. Graph B
O C. Graph C

Answers

Believe it is graph C

pls anyone.. I need it​

Answers

Step-by-step explanation:

here u have answer of your question dear

Convert 2 5/8 to a decimal

Answers

Answer:

2.625

Step-by-step explanation:

First convert mixed fraction to improper fraction,

=> 21/8

Then by normal division you will get,

=> 2.625

Find the value of a.
a
52

Answers

Answer:

26

because a is gone in b than

use trigonometry to find the unknown side (round to 1 decimal)​

Answers

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5

An arc length is a fractional part of the
circumference of a circle. The area of a
sector is a fractional part of the area of a
circle

The stained glass circle- head
the window has a 2 -inch wide
frame. The grills divide the
semicircular glass plane into
four congruent regions

Using detailed steps, describe your
solution to the problems below

Your steps should be clear enough so that
any geometry student can complete
them
A. Find the area of the blue region
B. Find the perimeter of the outer window
frame

Answers

Answer:

Each of the 4 sectors have an area:

πR²/8 - πr²/8, whereR = 28/2 - 2 = 12 inr = 6/2 = 3 in

Find the area:

A = π/8(12² - 3² ≈ 53 in²

Outer perimeter of the frame:

P = d + πd/2 =28( 1 + π/2) ≈ 72 in

The midpoint of a sègment is (6,-4) and one endpoint is (13,-2). Find the coordinates of the other endpoint.

Answers

let other one be (x,y)

We know midpoint formula

[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

[tex]\\ \sf\longmapsto (6,-4)=\left(\dfrac{13+x}{2},\dfrac{-2+y}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{13+x}{2}=6[/tex]

[tex]\\ \sf\longmapsto 13+x=12[/tex]

[tex]\\ \sf\longmapsto x=12-13[/tex]

[tex]\\ \sf\longmapsto x=-1[/tex]

And

[tex]\\ \sf\longmapsto \dfrac{-2+y}{2}=-4[/tex]

[tex]\\ \sf\longmapsto -2+y=-8[/tex]

[tex]\\ \sf\longmapsto y=-8+2[/tex]

[tex]\\ \sf\longmapsto y=-6[/tex]

Answer:

(- 1, - 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula

Use this formula on the endpoints and equate to the coordinates of the midpoint.

let the other endpoint = (x, y) , then

[tex]\frac{13+x}{2}[/tex] = 6 ( multiply both sides by 2 )

13 + x = 12 ( subtract 13 from both sides )

x = - 1

[tex]\frac{-2+y}{2}[/tex] = - 4 ( multiply both sides by 2 )

- 2 + y = - 8 ( add 2 to both sides )

y = - 6

The coordinates of the other endpoint are (- 1, - 6 )

frank bought 3 action figures 2 board games and 3 toy cars at the toy store . The action figure coast 1.95$ each, the board games coast 5.10$ a piece and the toy cars were 1.00$ if he paid with a twenty dollar bill, how much change should he get back?

Answers

Answer:

-5

Step-by-step explanation:

The measures of two angles of a triangle are 36 degree and 75 degree . The length of the shortest side of a triangle is 10 cm . The length of longest side of the triangle is:?

Answers

Hope it’s helps
You can text me if you don’t understand anything

 Chocolate bars come in packs of 8 and graham crackers come in packs of 12.  What is the smallest number of chocolate bars and graham crackers we would need to buy so we don't have any left over?  ​

Answers

Answer:

3 chocolate bars, and 2 graham crackers

Someone forgot the marshmallows...... :P

Step-by-step explanation:

Chocolate bars = 8 pack

Graham Crackers = 12pack

To have no crackers or chocolate left over, we need to find LCM

Factors of 8:

8, 16, 24, 32, 40, 48, 56, 72....

Factors of 12:

12, 24, 36, 48, 60, 72

The smallest LCM is 24

Chocolate bars:

24/8 = 3

Graham Crackers:

24/12 = 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

3 packs of chocolate and 2 packs of crackers

Step-by-step explanation:

the lowest common multiple of 8 and 12 is 24. We can determine this by prime factorization:

Prime factors of 8: 2 x 2 x 2

Prime factors of 12: 2 x 2 x 3

multipyling the bottom rungs of our factor tree we get: 2 x 2 x 2 x 3 = 24.

If you need me to draw the factor tree, just ask.

2+ (-3)^2 - (-1)

please explain! :3

Answers

Answer:

12

Step-by-step explanation:

Hello!

First of all you have to understand the order of operations.

PEMDAS

Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.

From this you can see that we first have to deal with the exponent, then multiplication, then the addition.

So we get 2+9-(-1)

The 9 is from -3^2

2+9+1

11+1

12.

Hope this helps!

There are 35 times as many students at Wow University as teachers. When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty. How many students attend Wow University.


A. 237

B. 249

C. 8295

D. 8124

Answers

Answer:

C. 8296

Step-by-step explanation:

Answer:

c.8295

Step-by-step explanation:

8544-12 = 8532

8532-237 =8295

For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the ________, and the mean difference attributed to individual differences is in the ________ of the test statistic. numerator; numerator denominator; numerator numerator; denominator denominator; denominator

Answers

Answer:

1. numerator;

2. denominator

Step-by-step explanation:

For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the NUMERATOR, and the mean difference attributed to individual differences is in the DENOMINATOR of the test statistic.

Will give brainliest to the first person

Answers

the area should be 3x^2+15x

Is the following number rational or irrational?
13
12
Choose 1 answer:
А
Rational
B
Irrational

Answers

Answer: Rational

This is because the number is in the form P/Q where P and Q are integers

We have P = -13 and Q = 12.

You can think of "rational" as in "ratio" which is very closely tied to fractions. Any rational number is a fraction of two integers. The denominator can never be zero.

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Decimal form: − 1.08 3

3 repeats itself, so it's rational.

Martina is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.

=___

Answers

Answer:

28

Step-by-step explanation:

Subtract highest number from lowest.

92-64 = 28

Hello, who can help me solve this problem?Please see the picture below and take a look

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

It's about making up a rule that gets from one figure to the next. Here's the rule I used:

The bottom left segment is rotated 1/8 turn CW from one figure to the next.

The top middle segment is rotated 1/4 turn CW from one figure to the next.

After steps, the top middle segment will be back in the same place. The lower left segment will be in the opposite corner. This corresponds to figure C.

There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 people use the gym and the pool. 9 people use the pool and the track. 16 people use the gym and the track. 4 people use all three facilities. How many people didn't use any facilities?​

Answers

Answer:

24 people

Step-by-step explanation:

((The numbers are up there, so I am not going to define each variable.))

For starters, there is no overlap between the double facilities groups, except the triple facility users, so:

19 + 9 + 16 - 4 = 40 people

Since there is overlap between single and double groups, you will need to subtract, so:

Gym: 73 - 19 - 16 = 38

Pool: 59 - 19 - 9 = 31

Track: 31 - 9 - 16 = 6

Total for 1 facility: 38 + 31 + 6 - 4 = 71 people

((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))

Next, add the totals:

71 + 40 = 111 people (using facilities)

135 - 111 = 24 people (who didn't use any)

(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))

The largest U.S. standard postage stamp ever issued has a width of about
3
1 inch, which was of the height of the stamp. Find the height of the stamp.
4.

Answers

Answer:

SOLUTION: " The largest US standard postage stamp ever issued has a width of about 1 inch, which was 3/4 of the height of the stamp. Write and solve an equation to find the height of the st

can you help me with this please.

Answers

Answer:

98 is the answer

Step-by-step explanation:

you add 8 each time

Answer:

a₁₃ = 98

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = a₂ - a₁ = 10 - 2 = 8 , then

a₁₃ = 2 + (12 × 8) = 2 + 96 = 98


[tex]integrate \: ln(x) [/tex]

Answers

Answer:

ln(x) = 1/x... It's a basic rule of Calculus.

PLEASE HELP!

Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.

Answers

Refer the attached image for the answer

HOPE SO IT HELPS YOU

Suatu jenis bakteri, setiap detik akan membelah diri menjadi dua, jika pada saat permulaan ada 5 bakteri, berapakah jumlah bakteri setelah 10 detik? (geometric series=deret geometri)?

Answers

Answer:

Vc. Tính giai cấp

Step-by-step explanation:

A new site offers a subscription that costs 28.50 for 6 months.what is unit rate price per month? show ur work

Answers

Answer:

The answer is 4.75

Step-by-step explanation:

Since six months is 28.50 then 1 month is equal to x

       28.50: 6 months

           x     : 1 month

 After this  you cross multiple so u divide by 6 both side to get 4.75

   6x/6: 28.50/6

   x=4.75

2 1/2 + 3 1/4 = ? pls

Answers

Answer:

5  [tex]\frac{3}{4}[/tex]    

Step-by-step explanation:

2 [tex]\frac{1}{2}[/tex] + 3 [tex]\frac{1}{4}[/tex]

= (2 + 3) + [tex]\frac{1}{2} + \frac{1}{4}[/tex]    Here we add the two whole numbers first

= 5 +  [tex]\frac{1}{2} + \frac{1}{4}[/tex]

= 5 + [tex]\frac{2}{4} +\frac{1}{4}[/tex]      Here you bring the two fractions to a common denominator     and to to this you find the highest common factor of the denominators.

= 5 + [tex]\frac{3}{4}[/tex]       Here we added 1/4 and 2/4

= 5  [tex]\frac{3}{4}[/tex]    This is the answer simply add 5 and 3/4

HOPE THIS HELPED

Answer:

Step-by-step explanation:

Your answer is 5 3/4

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