Factorise fully : 4x^3 +24x^2

Please can someone help me TwT

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  4x²(x +6)

Step-by-step explanation:

The smallest coefficient, 4, is a factor of the largest, so that will be a common factor. All terms contain x to some power, the least of which is 2, so x² will be a common factor. Factoring those common factors out, we have ...

  = 4x²(x +6)

The factor x+6 cannot be factored further, so this is the full factorization.


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What is the PE of a 10 kg box that drops 10 meters?

Answers

Change of PE over a height of 10m = M G H = (10) (9.8) (10) = 980 joules.

When the box hits the bottom, it has 980 joules less PE than it had
before it started dropping. 

(As well as 980 joules more kinetic energy.)
P.E = mgh                           
M= MASS
G= ACCELERATION DUE TO GRAVITY
H = HEIGHT
P.E= 10 * 10 * 10
P.E = 1000J

A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket costs the shoe keeper $200, at what price is it sold

Answers

200 + 40 % = 200*1.4 = $280.00
280 - 25% = 280 * .75 = $ 210.00
200(1.4)(.75)=$210.00

In an experiment using 30 mice, the sample proportion of the mice that gained weight after a drug injection is 0.65. What is the 99.7% confidence interval for the actual proportion in the population?a)between 0.602 and 0.697

b)between 0.563 and 0.737

c)between 0.476 and 0.824

d)between 0.389 and 0.911

Answers

The answer is B.) between 0.563 and 0.737

Find the x-intercept and the y-intercept from the following linear equation: 4x + 8y = 64​

Answers

Answer:

x-intercept = 16/1 = 16.00000

y-intercept = 16/-2 = 8/-1 = -8.00000

Step-by-step explanation:

Make a phrase with each of them for me please 1) Beneficial
2) benefited
3) Breath
4) Brilliant

Thank you so much !
Please , no grammars mistakes

Answers

1) beneficial actions
2) benefited from
3) icy breath
4) brilliant thinker

There are many good phrases you could possibly make from these words, these are merely examples. 
Hope this helped you!
1. Beneficial means helpful
2.Benefited is bring advantage to or receive advantage
3.Breath is how you take in air "breathing air"
4.Brilliant is clever or very bright

Prove the identity: cos(3x) + cos(x) = 2cos(2x)cos(x)I'm almost done with my homework, just got stuck on this one.

Answers

cos \alpha +cos \beta =2\cdot cos ( \alpha + \beta )/(2) \cdot cos ( \alpha - \beta )/(2)\n-----------------\n\n \alpha =3x\ \ \ and\ \ \  \beta =x\n\n

L=cos \alpha +cos \beta =cos(3x)+cos(x)\n\n\Rightarrow\ \ \ 2\cdot cos ( \alpha + \beta )/(2) \cdot cos ( \alpha - \beta )/(2)=2\cdot cos (3x+x)/(2) \cdot cos (3x-x)/(2) =\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =2\cdot cos (4x)/(2) \cdot cos (2x)/(2) =\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =2\cdot cos(2x)\cdot cos (x)=R