X^4+ 3x^3+4x^2-8 | x+2 = x^3+x^2+2x-4
-x^4-2x^3
-----------------------
x^3+4x^2-8
-x^3-2x^2
-------------------------
2x^2-8
-2x^2-4x
--------------
-4x-8
4x+8
----------------------------
/ /
is a factor because (x+2)(x^3+x^2+2x-4)=x^4+3x^3+4x^2-8
Answer:
Monica painted 
of the frame blue.
Step-by-step explanation:
Monica has a 24-inch square frame.There are 4 equal sides. She paints 3/4 of one side of the frame blue.
The perimeter of square is given as = 4s where s is the side length.
Here, perimeter is 24 inches.
So, side will be:
Dividing both sides by 4;
s = 6
So, we get the side of the frame as 6 inches.
Now Monica painted 3/4 of 6 inches.
This value becomes : 
and in fraction it is 
This is part of 24 inches.
So, the fraction will be : 
= 
= 3/16
Hence, Monica painted of the frame blue.
3x + 4y > -16
Subtract 3x from both sides
4y > -16 - 3x
Divide everything by the coefficient of y
y > -4 - 3/4x
Answer:
22°
Step-by-step explanation:
m∠JKL = 5x -3
m∠KIJ = 2x +8
m∠IJK = x -1
m∠JKL = m∠KIJ +m∠IJK
5x-3 = 2x+8 +x-1
5x-2x-x = 8-1+3
2x = 10
x= 10/2=5
m∠JKL = 5x-3= 5*5-3=25-3=22°
Answer:
Correct option: second one -> n / (n+1)
Step-by-step explanation:
Writting the expression, we have:
[4n / (4n-4)] * [(n-1) / (n+1)]
First we can simplify the numerator of the first part, dividing numerator and denominator by 4:
[n / (n-1)] * [(n-1) / (n+1)]
The first fraction has n-1 in the denominator and the second fraction has n-1 in the numerator, so we can simplify then in the product:
n* [1 / (n+1)] = n / (n+1)
The final expression is n / (n+1), so the correct option is the second one.
