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:
x+y=12
Step-by-step explanation:
First, substitute 3y for the spots with x:
2(3y) + 2y = 24
6y+ 2y = 24
8y= 24
y= 3
Then sub in 3 in the y place:
x= 3(3)
x= 9
Then plug in the x and y values in the equation:
9 + 3 =12
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Answer:
lol chill
Step-by-step explanation:
The vertical stretch of f(x) to g(x) is a factor of 5
<h3>How to determine the dilation?</h3>
The functions are given as:
f(x) = x
g(x) = 5x
Substitute f(x) = x in g(x) = 5x
g(x) = 5f(x)
In th above equation, the factor is 5.
5 is greater than 1 (this means vertical stretch)
Hence, the vertical stretch of f(x) to g(x) is a factor of 5
Read more about dilation at:
brainly.com/question/3457976
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Answer:
Option 2.
Step-by-step explanation:
The antifreeze claims to protect between -30 C and 130 C. The inequality should be this: 
You can replace C with the Fahrenheit formula: C=
So, the inequality becomes 
