Mathematics High School

Which product of prime polynomials is equivalent to 3x4 – 81x?

3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)

Answers

Answer 1

Given:

The expression is

[tex]3x^4-81x[/tex]

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

[tex]3x^4-81x[/tex]

Taking out the common factors, we get

[tex]=3x(x^3-27)[/tex]

It can be written as

[tex]=3x(x^3-3^3)[/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]        [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]

[tex]=3x(x-3)(x^2+3x+9)[/tex]

Therefore, the correct option is B.

Answer 2

Answer:

It's B

Step-by-step explanation:

Related Questions

Samantha earns $8 p;er hour as a cashier. Write an equation that shows her earnings (E) after 'h' hours

Answers

Answer:

E=8h

Step-by-step explanation:

Becuase the earings equal the $8 times the amount of hours she worked.

Giving brainliest!!!Please help.. :(

Select the statement that describes this expression: 5 x (3 + 4) − 4.

A) 5 times the sum of 3 and 4, then subtract 4
B) 5 times 3 plus 4 minus 4
C) 5 more than the sum of 3 and 4, and then subtract 4
D) 5 times 3 plus the difference of 3 and 4

Answers

A is the answer 5 times the sum of 3 and 4 then subtract 4

Answer:

A

Step-by-step explanation:

A the anser is A deal with it...

Help me with this!!!!

Answers

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

​Calculate the bond energies that correspond to arrows A, B and C in the diagram:

Answers

Answer:

Parted = farted and pooed, wafflebox = person who waffles (talking about random things), gogglebox = person who stares at people, battery brain = person who uses drugs. You might want to use these words so no one knows what you are talking about and you can talk about people badly without them knowing

Step-by-step explanation:

Area of a Parallelogram

Answers

Answer:

P=28

Step-by-step explanation:

a=bh

24= 12x

24 divided by 12=2

12 +2+12+2= 28

its 80 feet if i am correct

Please Help
please and thank you!

Answers

Answer:

Step-by-step explanation:

cube means 3D  square.. right?

so for volume  we want the height x width x length.. make sense?

since each edge is 9'  

the volume is [tex]9^{3}[/tex] = 729  [tex]ft^{3}[/tex]

Answer: 729

Step-by-step explanation:

This is very simple all you do is cube 9

[tex]9^{3}\\729[/tex]

Spoints
Aregular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the new hexagon is 0.4 times the perimeter of
the original hexagon
O True
False

Answers

Answer:

True.

Step-by-step explanation:

It is given that, a regular hexagon is dilated by a scale factor of 0.4 to make image.

It means, the perimeter of image is 0.4 times the perimeter of the original hexagon.

For example,

Let's take the rectangle with length of 12 and width of 4, it's perimeter is 12+12+4+4 =32

Let's find image using scale factor 0.4, we get

length =0.4(12)= 4.8

width =0.4(4)=1.6

So, perimeter of image = 4.8+4.8+1.6+1.6=12.8

If we compare the perimeters

0.4(32)=12.8.

So, it is true.

Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.

Answers

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle?

Answers

Answer:

[tex]23^{o}[/tex] and [tex]23^{o}[/tex]

Step-by-step explanation:

An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures  134°, then;

x + x +  134° = [tex]180^{o}[/tex]

2x + 134° = [tex]180^{o}[/tex]

2x = [tex]180^{o}[/tex] - 134°

    = 46

x = [tex]\frac{46}{2}[/tex]

  = [tex]23^{o}[/tex]

x = [tex]23^{o}[/tex]

The other angles that could be in the isosceles triangle are [tex]23^{o}[/tex] and [tex]23^{o}[/tex].

I need help fast!!!!!!

Answers

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

210/360(48π) = 28 Pi

1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x

Answers

The answer is y=5^x. Good luck bud!

help please! find m∠bcf

Answers

Answer:

BCF = 140°

See attached image.

Answer:

m<BCF=140°

Step-by-step explanation:

first find m<BCD

m<BCD=180-50-90

m<BCD=40°.

to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)

180-m<BCD=m<BCF

180-40=m<BCF

m<BCF=140°

Every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500-milliliter cartons at the store. How many cartons should he buy?

Answers

Answer: 3

Step-by-step explanation:

Vince will have to buy three cartons of 500 ml each.

What is expression in mathematics?

An expression in mathematics is a combination of terms both constants and variables.

Given is that every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500 milliliter cartons at the store.

We know that -

1 Liter = 1000 milliliters

1.5 liter = 1500 liters

Now -

1 carton 500 ml.

Then, 1 ml will be in (1/500) carton.

So, 1500 ml will be in (1/500 x 1500) = 3 cartons

Therefore, Vince will have to buy three cartons of 500 ml each.

To solve more questions on algebraic expressions, visit the link below -

https://brainly.com/question/27911936

#SPJ2

The inequality that will determine the number of items that need to be sold to make a profit is . The solution to the inequality is . The company must sell at least items to make a profit.

Answers

Answer:

1: A (7.5x – 100 > 79.86 + 5.8x)

2: D (x > 105.8)

3: D (106)

Step-by-step explanation:

EDG 2021

Answer:

The inequality that will determine the number of items that need to be sold to make a profit is

✔ 7.5x – 100 > 79.86 + 5.8x

The solution to the inequality is

✔ x > 105.8

The company must sell at least

✔ 106

items to make a profit.

Have a bless day. :D

ill mark brainlist plss help

Answers

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

What is the volume of a sphere with a radius of 6.9 ft

Answers

V=4/3 π•r^3
r=6.9 ft
V=4/3 π• (6.9)^3
V=4/3 π • 328.509 ft^3
V= π•438.012 ft^3
V= 1,375.35768 ft^3
V~ 1,375 ft^3

Item 6
Find the selling price.

Cost to store: $50

Markup: 10%

The selling price is?

Answers

50×100÷110=45.454545r6

245 tickets in 5 days what is the unit rate

Answers

Answer:

245/5 = 49 tickets per day

Answer:

245 / 5 = 49 so

49 tickets per day

Find the mean of the following set: 30, 16, 29, 14, 21

Answers

Answer:

the mean is 18.2, median is 16, and there is no mode

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

mean is the average of the number.you have to add up all the number then divide it by how many numbers there are.

your question is :30,16,29,14,21 (5 number)

(30+16+29+14+21) / 5 = 22

HELP ill mark you brainlist

Answers

Answer:

-8 + 11n OR 11n - 8

Step-by-step explanation:

an = 3 + (n-1)11

an = 3 + 11n - 11

an = -8 + 11n OR 11n - 8

Hope that helps!

Answer:

find the last SIMPLIFIED number

11 x 5 = 55

55 simplfiied = 27.5

Step-by-step explanation:

sorry if this is wrong. i tried my best trying to look for the answer

Q1. Prasha has five blocks of wood. The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood.

Answers

Answer: Weight of the remaining block of wood =400g

Step-by-step explanation:

Total Weight of five(5) blocks = 3kg = 3000g

Weight of 4 out of the 5 blocks = 650x 4= 2600g

Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks

= 3000g-2600g

=400g

PLEASE HELP

Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.

Answers

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

help me pleaseeeeeeeeeeeeeeeee

Answers

A + 15= 35
A +15-15=35-15
A=20

2b=20
2b/2=20/2
B=10

Britney is 10 years old

what is the measure in degrees

Answers

Answer:

B = 155°, C = 25°, D = 155°

Step-by-step explanation:

Assuming you require B, C, D

A and B are adjacent angles and are supplementary , that is

A + B = 180°

25° + B = 180° ( subtract 25° from both sides )

B = 155°

A and C are vertically opposite angles and are congruent, then

C = 25°

B and D are vertically opposite angles and are congruent , then

D = 155°

i give brainliest pls help meee.

Answers

9 + 35x ≤ 310. 9 is the park fee, and 35x means that is 35 dollars per person. X is the amount of people and 310 is the maximum.

14.The volume of a cube whose edge is 3x is _______.
FASTT!!!

Answers

Answer:

[tex]27x^3[/tex]

Step-by-step explanation:

The square table has side lengths of 4 feet. What is the length of the diagonal?

Answers

Answer: 2 square root 2

Explanation: you can use the Pythagorean Theorem and do 4^2 + 4^2 = square root of 32 which is 2 square root 2
2 would be correct ^^

A town's population went from 40,000 to 50,000. What was the percent of change in the population?

Answers

It would be a 0.8% change

Please help I don’t get it

Answers

Answer:

4.718592

Step-by-step explanation:

To get to -14.4 from 18 you multiply 18 x 0.8

Repeat that until you get to the 7th term

18 (1st)

18 x 0.8 = -14.4 (2nd)

-14.4 x 0.8 = 11.52 (3rd)

11.52 x 0.8 = 9.216 (4th)

9.216 x 0.8 = 7.3728 (5th)

7.3728 x 0.8 = 5.89824 (6th)

5.89824 x 0.8 = 4.718592 (7th)

If you can do this whole thing I will give you the brainliest JUST PLEASEE HELPPP MEEEE

Answers

Answer:

this hurts my brain x_x my non-existent brain....

i got you
1) Diameter = 16
Circumference = 50.25
Area = 200.96
2) Radius = 12
Circumference = 75.36
Area = 452.16
3) Diameter = 12
Circumference = 37.68
Area = 113.04
4) Radius = 3
Circumference = 18.84
Area = 28.26
5) Diameter = 28
Circumference = 87.92
Area = 615.44
6) Radius = 5
Circumference = 31.4
Area = 78.5
7) Radius = 16
Circumference = 100.48
A= 803.84
8) Diameter = 38
Circumference = 119.33
Area= 1133.54
9) Radius = 15
Circumference = 35.1
Area= 706.5
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