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brilliants [131]
3 years ago
14

Y^3-27=9y^2-27y how to factor

Mathematics
1 answer:
Kryger [21]3 years ago
4 0
Hello! And thank you for your question!

First we are going to redo the equation:

<span><span><span>y<span><span>​^3</span><span>​​</span></span></span>−3<span>y^<span><span>​2</span><span>​​</span></span></span>(3)+3(y)×<span>3<span><span>​^2</span><span>​​</span></span></span>−<span>3<span><span>​^3</span><span>​​</span></span></span>=0

Then we are going to use Cube of Difference:

0 = (y - 3)^3

That take cube root of both sides:

0 = y - 3

Finally add 3 to both sides:

3 = y

Final Answer:

y = 3</span></span>
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What is this problem -12=4(x-7)-8x
Fofino [41]

-12=4(x-7)-8x

One solution was found :

                  x = -4

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :


                    -12-(4*(x-7)-8*x)=0


Step by step solution :

Step  1  :

Equation at the end of step  1  :

 -12 -  (4 • (x - 7) -  8x)  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :


  4x + 16  =   4 • (x + 4)


Equation at the end of step  3  :

 4 • (x + 4)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    4   =  0

Hope this helps you, Have a nice day.

4 0
3 years ago
Dale drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took hours. When Dale drove hom
IrinaK [193]

Dale drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when dale drove home, there was no traffic and the trip only took 5 hours. if his average rate was 18 miles per hour faster on the trip home, how far away does dale live from the mountains? do not do any rounding.

Answer:

Dale live 315 miles from the mountains

Step-by-step explanation:

Let y be the speed  of Dale to the mountains

Time taken by Dale to the mountains=7 hrs

Therefore distance covered by dale to the mountain = speed × time = 7y ......eqn 1

Time taken by Dale back home = 5hours

Since it speed increased by 18 miles per hour back home it speed = y+18

So distance traveled home =speed × time = (y+18)5 ...... eqn 2

Since distance cover is same in both the eqn 1 and eqn 2.

Eqn 1 = eqn 2

7y = (y+18)5

7y = 5y + 90

7y - 5y = 90 (collection like terms)

2y = 90

Y = 45

Substitute for y in eqn 1 to get distance away from mountain

= 7y eqn 1

= 7×45

= 315 miles.

∴ Dale leave 315 miles from the mountains

4 0
3 years ago
Which expression is the prime factorization of 180X²Y? *
muminat
C, i dont know dont use my answer unless you know
8 0
2 years ago
The graph shows the volume of oil (L litres) in a tank at time t seconds. a)find the gradient of the graph b)explain what this g
Alisiya [41]

Answer/Step-by-step explanation:

a. Using two points on the line (0, 2) and (4, 12), find the gradient:

Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5

Gradient = 2.5

b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.

i.e. 2.5 litres per second

c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.

4 0
2 years ago
Can you guys please help me
xeze [42]
There is an easy way to find y intercept. I can tell you how and show you the answer

1 {Y Intercept = 3 } [ This is where the line crosses the line going from up to down in the middle. ]

{slope = 2/1 } To find the slope you find a place where the slanted line is perfectly on the graph.:

You then go up. { GO UP FIRST! that will be the number on top. Stop when you notice the slanted line to the right is exactly on the graph. So what i did is started at (-1, 1) Then went up twice. I saw that to the right of me was the slanted line which was exactly on the graph. So I went up twice [2] then went right once [1]

To find your equation you just put y= [ y intercept form ] and your numbers you found.
y=2/1x + 3
Make sure you have x after your slope so you know it is always going up, no matter what number you put inside.

IF YOU WANT ME TO DO THEM ALL COMMENT. I WILL DO THEM ALL WITHOUT EXPLANATION.

** NOTE ** If the line is decreasing from the left. “\”it is negative so the slope will me - you will do that for your next question
7 0
3 years ago
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