Answer:
2xy(x+5)(4x−1)
Step-by-step explanation:
1 Find the Greatest Common Factor (GCF).
GCF = 2xy
2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)
3 Simplify each term in parentheses.
2xy(4x^2 +19x−5)
4 Split the second term in 4x^2+19x-5 into two terms.
2xy(4x^2 +20x−x−5)
5 Factor out common terms in the first two terms, then in the last two terms.
2xy(4x(x+5)−(x+5))
6 Factor out the common term x+5.
2xy(x+5)(4x−1)
Answer:
$29,005.97
Step-by-step explanation:
Cn = Co * (1 + i)^n
Cn = 104,986.99(1+.05/1)^(1*5)
Cn = 104,986.99(1+.05)^5
Cn = 104,986.99(105)^5
Cn = 104,986.99(1.2763)
Cn = 133,992.96, total money at end
133,992.96-104,986.99= $29,005.97, interest accumulated
Given:
Volume of cuboid container = 2 litres
The container has a square base.
Its height is double the length of each edge on its base.
To find:
The height of the container.
Solution:
We know that,
1 litre = 1000 cubic cm
2 litre = 2000 cubic cm
Let x be the length of each edge on its base. Then the height of the container is:
The volume of a cuboid is:
Where, l is length, w is width and h is height.
Putting 
, we get
Divide both sides by 2.
Taking cube root on both sides.
![\sqrt[3]{1000}=x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D%3Dx)
Now, the height of the container is:
Therefore, the height of the container is 20 cm.
the answer is y=4x-11
use y+1=4x-12
move 1 to negative because move to the other side
so the answer is y=4x-11
Answer:
r=56
Step-by-step explanation:
252= r * 4.5
r * 4.5 = 252
r * 4.5 * 10 = 252 * 10
45r = 2520
r = 56
