9514 1404 393
Answer:
x = -3/2
Step-by-step explanation:
The zeros of the function are the values of x that make the factors zero:
x = -4, x = 1
The axis of symmetry is the vertical line halfway between these zeros.
x = (-4 +1)/2 = -3/2
The equation of the axis of symmetry is x = -3/2.
Answer:
x² + 2x + (3 / (x − 1))
Step-by-step explanation:
Start by setting up the division:
.........____________
x − 1 | x³ + x² − 2x + 3
Start with the first term, x³. Divided by x, that's x². So:
.........____x²______
x − 1 | x³ + x² − 2x + 3
Multiply x − 1 by x², subtract the result, and drop down the next term:
.........____x²______
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Repeat the process over again. First term is 2x². Divided by x is 2x. So:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Multiply, subtract the result, and drop down the next term:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
.................-(2x² − 2x)
.................---------------
.....................................3
x doesn't divide into 3, so that's the remainder.
Therefore, the answer is:
x² + 2x + (3 / (x − 1))
Answer:
(0,1) is the unique solution of the system .
Step-by-step explanation:
The given sets of equations are
x + 2y = 2
x - 2y = -2
Compare the equations with ax + by = c
Here, we get a1 = 1, b1 = 2 and c1 = 2
and a2 = 1, b2 = -2 and c2 = -2
Now, as we can see , 
Here, 
Hence, the system has UNIQUE SOLUTION.
And, (0,1) is the unique solution of the system
x + 2y = 0 + 2(1) = 2 = Right side
and x - 2y = 0 - 2(1) = -2 = Right side
Answer:
x = 12
Step-by-step explanation:
I am unable to decipher what "x = 9/36 x/48" means.
I'll assume that the question is to find a value of x such that:
x/48 = 9/36
If so, cross multiply:
36x = (48*9)
36x = 432
x = 12
