Factorise fully [tex]3y^{3} -12y[/tex]

Answers

Answer 1

Answer:

[tex] {3y}^{3} - 12y \\ = 3y( {y}^{2} - 4) \\ = 3y( {y}^{2} - {2}^{2} ) \\ = 3y(y - 2)(y + 2) \\ = 3y(y + 2)(y - 2)[/tex]

Answer 2

a^2-b^2=(a+b)(a-b)

a=y b=2

3y(y+2)(y-2)


Related Questions

I need it today please

Answers

I believe the answer is 207.66?

Answer:

$207.66

Step-by-step explanation:

30% off is the same as saying there is 70% not off, and 70% is the same as 0.70

0.70*349= 244.30

15% off is the same as saying 85% is not off, and

85% is the same as 0.85

0.85*244.30=207.655

because it's money, you round to 2nd decimal place

$207.66

hope this was helpful :)

What is the surface area of the prism?
1.
5 in.
4 in.
5 in

Answers

Answer:

140

Step-by-step explanation:

Please help me with this i didn’t get the answer

Answers

I think m is 216
Below is pic of my workings

nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey

Answers

Answer:

B. 50 students in her school

Step-by-step explanation:

Every other answer is at a seperate place designed to help someone in a specific field, besides the school.

The three inside angles (A,B and C) of a right-angled triangle are in the ratio 7:18:11. Th smallest angle is 35. Work out angles A, B and C

Answers

Answer:

<A = 35degrees

<B =90degrees

<C = 55degrees

Step-by-step explanation:

Given the ratios of a triangle as 7:18:11

Total ratio = 7+18+11

Total ratio = 36

Since the smallest angle is 35degrees, hence <A = 35degrees

Get angle B;

<B = 18/36 * 180 (sum of angle in a triangle is 180degrees)

<B = 1/2 * 180

<B = 90degrees

Get angle C;

<C = 11/36 * 180

<C = 11 * 5

<C = 55degrees

Hence the value of A, B and C are 35, 90 and 55 degrees repectively

Evaluate the expression and identify any domain restrictions. Use order of operation.

Answers

Answer:

Its in the picture so you can understand it better.

Step-by-step explanation:

In a box containing 20 cans, 12 of the cans contain vegetables. In the box, 5 of the cans are dented, with 2 of the dented cans containing
vegetables
What is the probability that a randomly selected can in the box is dented or contains vegetables?
OA 65%
OB. 75%
OC. 95%
OD 85%

Answers

Answer: B.) 75%

Step-by-step explanation:

12 cans contain veggies and 5 cans are dented, since two of the dented cans contain veggies don't count those two. This means you'll add 12 and 3 which equals 15. 15 out of 20 is an example of three fourths or 75%.

Are the dotted lines in the shape parallel, perpendicular or intersecting?

Answers

Answer:

Parallel

Step-by-step explanation:

The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.

Have a great day <3

I need help with geometry

Answers

Answer: C) I and III

Statement 1 and statement 3 contradict

======================================================

Explanation:

We'll start with statement 1 and try to build to statement 3, and you'll find that a contradiction happens.

If angle 1 and angle 2 are supplementary, then that must mean [tex]m \angle 1 + m \angle 2 = 180[/tex] because the angles can be combined to form a straight angle.

Add the measure of angle 3 to both sides

[tex]m \angle 1 + m \angle 2 = 180\\\\m \angle 1 + m \angle 2+m\angle 3 = 180+m\angle 3[/tex]

The left side matches with the left side in statement 3, but the right side is a bit off. That [tex]m\angle 3[/tex] term needs to be zero, so that the right side boils down to simply 180. However, statement 3 specifically mentions that angle 3 is nonzero. So angle 3 is some positive value.

That's why choice C is the answer.

------------------

Here's an example:

Let's say angles 1 and 2 are 50 and 130 degrees. The order doesn't really matter, but I'll make angle 1 to be the smaller angle.

This means,

[tex]m \angle 1 + m \angle 2 = 180\\\\50 + 130 = 180\\\\[/tex]

So we've made statement 1 to be true. The angles 50 and 130 are indeed supplementary.

Now let's add some nonzero value to both sides. This will represent the measure of angle 3. If we add say 10 degrees to both sides, then,

[tex]50 + 130 = 180\\\\50 + 130+10 = 180+10\\\\50 + 130+10 = 190\\\\m\angle 1 + m\angle 2 + m\angle 3 = 190\\\\[/tex]

we don't get 180 like we want in the equation of statement 3. This is where the contradiction happens, more or less. One right side is 180, the other right side is 190. The 190 will change if you use some other value for angle 3, but hopefully you can see that it's impossible to add up angles 1 through 3 to get 180. It's only possible if angle 3 were zero degrees.

We can think of it like angles 1 and 2 hog up all the oxygen, and use up 180 points of it, leaving no air for angle 3 to breathe so that's why angle 3 must be 0. Furthermore, it means that a triangle is not possible if exactly two angles are supplementary.

----------------------

Extra info:

Statements 1 and 2 can coexist just fine without any contradictions happening. If angle 1 is 110 degrees, then that makes angle 2 to be 70 degrees (110+70 = 180). That rules out choice A.Statements 2 and 3 are just fine as well, for similar reasoning as above. We can plug in 110 for angle 1, then subtract that from 180 to get 180-110 = 70. Then from here, just ensure that angles 2 and 3 add to 70. So there are infinitely many ways to do this. Choice B can be ruled out.Choice D is ruled out because we found choice C to be the answer, ie the contradicting two statements.

Answer:

C) l and lll

Step-by-step explanation:

m∠1+∠2=180

m∠1+m∠2+m∠3=180

180+m∠3=180

m∠3=0 but m∠3=∦0

-----------------------------------

hope it helps...

have a great day!!

[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?

Answers

Answer:

the correct answer is 5 snowmen

SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.

Answers

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

PLEASE HELP!!! Which number line shows the solution 2/3x-5>3

Answers

Answer:

last option is the answer; all values greater than 12

Step-by-step explanation:

2/3x - 5 > 3

2/3x > 8

x > 24/2

x > 12

Answer:

the last one

Step-by-step explanation:

I took the test

Pls pls help me !!!!

Answers

3,-2 is the right answer i think

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 6, 3, ...

Answers

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

∵ The first 3 terms are 12, 6, 3

∵ 6 - 12 = -6

∵ 3 - 6 = -3

∵ There is no common difference between the consecutive terms

∴ The sequence is not an arithmetic sequence

∵ 6 ÷ 12 = 0.5

∵ 3 ÷ 6 = 0.5

∴ There is a common ratio between each two consecutive terms

∴ The sequence is a geometric sequence

∴ The common ratio is 0.5

Classify this triangle by its sides.

Answers

Answer:

Scalene

Step-by-step explanation:

All sides are not the same so it is considered scalene.

Classifications:

Scalene = no sides and angles are the same to others

Equilateral = All sides and angles are congruent

Isosceles = 2 sides and 2 angles are congruent.

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

Scalene

Step-by-step explanation:

Isosceles=two sides are equal

Scalene=all sides are different

Equilateral=all three sides are equal

Find the values of x and y. Write your answers in simplest form.

Answers

Answer:

To find X you'll need this formula Tan 30, and this one to find y cos 30.

Step-by-step explanation:

tan 30 = 9 / x.

tan 30*x = 9

x = 9 / tan 30

x = 15.58

To find y, the value of X will be needed, which is 15.5 that we just found.

Cos= A/H

Cos 30 = 15.58/ y

Cos 30 * y = 15.58

y = 15.58/ cos 20

y = 17.99

Factorise fully 12x^3-4x^2

Answers

Answer:

4x² (3x - 1)

Step-by-step explanation:

12x³ - 4x²

4x² (3x - 1)

Luka buys 210 coat hangers.
The coat hangers are sold in boxes.
There are 35 coat hangers in each boz.
Each box of coat hangers costs £19.50
Work out the total cost of the boxes of tiles Luka buys.

Answers

Answer:

$117

Step-by-step explanation:

[tex]210 \div 35 = 6[/tex]

[tex]19.50 \times 6 = 117[/tex]

The zeros of a function are the values of x for which the function is equal to zero.

Enter a number in each blank to make true statements about the function g(x)=(2x−4)(x−5).

Answers

Answer:

g(x)=0  when x= 2 or when x= 5

The graph of g intercepts the x-axis at x= 2 and x= 5

The zeros of g are 2 and 5

Step-by-step explanation:

please help!!!!!!!!
3x2 + x - 4 = 0

SELECT ALL THAT APPLY.



(x - 1)(3x + 4) = 0
(3x +2)(x - 6) = 0
(3x + 4)(x - 1) = 0
(x + 1)(3x - 4) = 0
(3x - 3)(3x - 4) = 0
(3x - 4)(x + 1) = 0

Answers

all of the apply my math teacher always did that and all of them aways applied

Answer:

(3x + 4)(x-1)=0

Step-by-step explanation:

It's a quadratic equation.

now you need to find two numbers such that when you multiply then you get -12 and when you add them you get +1

[tex]3x {}^{2} + x - 4 \\ 3x {}^{2} + 4x - 3x - 4 \\ x(3x + 4) - 1(3x + 4) \\ (3x + 4)(x - 1)[/tex]

Find the inverse function.
x - 3
f(x) =
+ 2
5
f-1(x) = [ ? ]x + [ ]

Answers

Answer: 5(x-2) + 3 [aka 5x - 7, whichever form your computer accepts these both mean the same]

Steps
Solve for the inverse function of
f(x)=((x-3)/5)+2

First one should replace the variables so
that f(x)=((x-3)/5)+2 becomes:


x=((y-3)/5)+2 (this isn’t necessary, it just makes it easier for those to remember the variable they are looking for when first learning about inverses) —> regardless, we are searching for y.

So doing regular algebra, we get:

x=((y-3)/5)+2
x-2=((y-3)/5)
5(x-2)=y-3
5(x-2)+3=y

Thus, the inverse: f(x)^-1 = 5x-7

heyy! i’ll give brainliest please help

Answers

Answer:

I think it's either B or C

hope this helps

have a good day :)

Step-by-step explanation:

Pick which one you think best

PLEASE HELP ASAP I WILL MARK BRANLIST!!!!!!

Of 10 test scores, six are less than or equal to 82 What is the percentile rank of a test score of 82?
The percentile rank of 82 is…

Answers

Answer:

60% of the test scores are less than or equal to 82

Step-by-step explanation:

Write the verbal sentence as a equation. 3 times the sum of a number and 2 is 12.

Answers

Answer:

3(x+2)=12

Step-by-step explanation:

let the number be x

the sum=x+2

the answer

3(x+2)=12

PLEASE HELP!!!!!! In which week was the rainfall in Portland the highest and how much fell?

weekly rainfall bar graph
Week 3, 800 cm
Week 4, 1400 cm
Week 4, 1200 cm
Week 3 900 cm

Answers

Answer:

Week 4, 1400

Brainliest plz

Step-by-step explanation:

Answer:

Week 3 and 900 cm

Step-by-step explanation:

Brainliest Please!

fill in the missing numbers to complete the pattern ___, 2.6, 3.1, 3.6,___, 4.6​

Answers

2.1 and 4.1

.................

Answer:

2.1 should be the first one, and 4.1 should be the next one

The Movie Haven is planning to order new medium-size popcorn containers. It has a choice of four different containers. It costs the company $0.02 per cubic inch of popcorn to fill a container. The company does not want the new container to cost more than $3.00 to fill. Which container should the company use? Use 3.14 for Pi.

Container A
A cylinder with height 5 inches and diameter 7 inches.

Container B
A cylinder with height 6 inches and radius 3 inches.

Container C
A cylinder with height 12 inches and B = 11.14 inches squared.

Container D
A cylinder with height 10 inches and diameter 6 inches.

container A
container B
container C
container D

Answers

Answer:

only option less than $3 is (C)

Step-by-step explanation:

Volume(cylinder) = πr²h or Bh

I used the guess-and-check method and got the following:

A) 3.85

B) 3.39

C) 2.67

D) 5.65

I need help. I will give brainlist if right answer.
Fill in the table using this function rule.
y=2+3x

Answers

Answer:

I need to see the table bro

Find x and y, when AB and MN are similar

Please I need your help quickly

Answers

Answer:

x is 5 but sorry I can't Find the value of y

Answer:

y=3

x=5

Step-by-step explanation:

it's similar so CN =NB          

that means y=3

so MN=AB

x=5

A 2-gallon jug of juice costs $10.88. What is the price per cup?

Answers

Answer:

it's ¢.34

Step-by-step explanation:

a gallon has 16 cups

since there are two gallons that's 32

the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34

Other Questions
Write a letter to the editor of a national newspaper complaining about the bad roads in your town or city, and giving at least three reasons why something should be done urgently about them. ano kahulugan ng kandungan One similarity between representative democracy and direct democracy is that they both utilize the principle of A. elected delegates. B. separation of powers. C. checks and balances. D. majority rule. Needing help on this? Find x. Round your answer to the nearest tenth of a degree.A2718toBx = _(blank) Base A dissociates 25% in water. Base B dissociates 50%. Base C dissociates75%. Which base is the WEAKEST conductor of electricity? ABCD is a parallelogram. Which statements are true? What was the purpose of the National Council of Colored People?O A. to provide jobs for freed slavesO B. to encourage immigration from African nationsO C. to protest the treatment of African AmericansD. to teach African Americans how to blend into white society PLS ANSWER CORRECTLY FOR BRAINLIEST For what objects are the Caddo Indians known? give 5 each examples of acute angleand obtuse angle How would you keep executives informed about the progress of a project?with a newslettervia snail mailby word of mouthno need to, just keep it a secret Jffkdjdjdjdkskkskskskskakskkdkdkskdk An object is moving in a straight line at constant speed. A resultant torce begins to act uponthe object.State the ways in which the force may change the motion of the object The measure of arc CD is 175. Determine the measure of DBC. 1) 350 2) 87.5 3) 5 4) 175 Tyra made the following bar graph shown to represent the relative distances of four different astronomical bodies from Earth.The title of the bar graph is Distance of Bodies in Space from Earth. Four bars are labeled A, B, C, and D. Bar C is the shortest. Bar D is about three times the size of bar C. Bar A is about six times the size of bar C. Bar B is about eight times the size of bar C.If D represents Mercury, which of the following could be represented by B and C? B could be the moon, and C could be Venus. B could be Venus, and C could be the moon. B could be the moon, and C could be Jupiter. B could be Jupiter, and C could be the moon. Gabriella read this excerpt from Blanca Flor.The Narrator. Late that night, as Juanito waited for her, Blanca Flor packed her belongings into a bag. Before she left the house, she went to the fireplace and spat three times into it.[BLANCA FLOR joins JUANITO.]Blanca Flor (quietly calling). Juanito.Juanito. Blanca Flor, is it time?Blanca Flor. Yes. We must leave quickly, before he finds out I am gone, or it will be too late.Juanito. Won't he know you are gone as soon as he calls for you?Blanca Flor. Not right away. I've used my powers to fool him. But it won't last long. Let's go!Gabriella predicts that Blanca Flor will safely escape Don Ricardo. Which line or statement best clues Gabriella to her prediction?We must leave quickly.Juanito waited for her.Blanca Flor packed her belongings into a bag.I've used my powers to fool him. Explain what nuclear medicine technologists and magnetic resonance technologists have in common. Please help I suck at EnglishRead the passage and answer the question.[1]Nothing that comes from the desert expresses its extremes better than the unhappy growth of thetree yuccas.Tormented, thin forests of it stalk drearily in the high mesas, particularly in thattriangular slip that fans out eastward from the meeting of the Sierras and coastwise hills. Theyucca bristles with bayonet-pointed leaves, dull green, growing shaggy with age like an old[5] man's tangled gray beard, tipped with panicles of foul, greenish blooms. After its death, which isslow, the ghostly hollow network of its woody skeleton, with hardly power to rot, makes eventhe moonlight fearful. But it isn't always this way. Before the yucca has come to flower, whileyet its bloom is a luxurious, creamy, cone-shaped bud of the size of a small cabbage, full ofsugary sap, the Indians twist it deftly out of its fence of daggers and roast the prize for their[10] own delectation.In the last sentence of the passage, the author uses the word "flower" to describe a stage in the yucca tree's growth. Which word has a similar denotation to "flower" but would create a more awe-filled tone? develop flourish mature unfold In cities like Chicago, the percent of unemployed African-Americans was lower than the general population Ill mark u as brainliest! Tell me what definition goes where ?!