Answer:
2x • (x^3y^3 + 2)
Step-by-step explanation:
4x + (2x3y • y) • x) • y)
Pulling out like terms :
3.1 Pull out like factors :
2x4y3 + 4x = 2x • (x3y3 + 2)
Trying to factor as a Sum of Cubes :
3.2 Factoring: x3y3 + 2
Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3
Check : 2 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cube
Final result :
2x • (x^3y^3 + 2)
Processing ends successfully
plz mark me as brainliest :)
Answer:
12 inches
Step-by-step explanation:
A=0.5bh
A=0.5xh
60=0.5*10*x
60=5x
5x=60
x=12
Answer:
It would be B
Step-by-step explanation:
8 x 5 = 40
40/4 = 10
Hope that helps!
Answer:
54
Step-by-step explanation:
The ratio of 6 to 4 between the length and the with means that if the length was 6, the width would be 4.
We can represent this in a table:
Length Width
6 ⇒ 4
and we need to find the length for a picture frame that has a width of 36. If we represent the length of the picture frame by x, and we update the previous table:
Length Width
6 ⇒ 4
x ⇒ 36
The value of x (the length) can be found by the rule of three: Multiply the cross quantities in the last table ( 6 by 36) and divide the result by the remaining value (4).
We get the following for x:
x = 6*36/4
x= 216 / 4
x = 54
The length is 54.
Another way to find the result is:
The width of the frame (36) is 9 times more than the width that the ratio indicates (4). Because
4*9 = 36
thus, the same must be true for the relationship between the length in the indicated ratio and the length of the frame (9 times bigger):
6*9 = 54
we also get 54 as the result.
Answer:
20%
Step-by-step explanation:
According to the Question,
Given that, The average number of subscribers to an online magazine each year from 2010 to 2015 is given in the table.
Year Number of Subscribers Percentage increase(20%)
2010 320000
2011 384000 320000 × 1.20 = 384000
2012 460800 384000 × 1.20 = 460800
2013 552960 460800 × 1.20 = 552960
2014 663552 552960 × 1.20 = 663552
2015 796262 663552 × 1.20 = 796262
- The percent increase in the average number of subscribers each year since 2010 was 20% .