Answer:
3/94
Step-by-step explanation:
The polynomial would be 2x+5.
We bring down the first number inside the box, 2, unchanged.
_______
-1| 2 7 5
_______
2
Now we multiply that 2 by the number outside, -1:
_______
-1| 2 7 5
<u> -2
</u> 2
Now we add the two numbers in the middle column:
________
-1| 2 7 5
<u> -2 </u>
2 5
Multiply the 5 we brought down by the -1:
________
-1| 2 7 5
<u> -2 -5
</u> 2 5
Add the numbers in the last column:
________
-1| 2 7 5
<u> -2 -5
</u> 2 5 0
The 3 numbers under the box represent the coefficients of x² and x, as well as the constant. When we finish, we no longer have an x², but start at the next level down, which would be x. 2 would be the coefficient of x and 5 would be the constant, with 0 remainder.
Here's a little known but very useful factoid:
If they're inversely proportional,
then their product is constant.
Here's how to use it:
-- We're told that Y = 8 when X = 7.
So when y=8 and x=7, their product is 56 .
-- If Y REALLY varies inversely as X, then
their product is ALWAYS going to be 56.
-- So when Y=4, X= (56/4) = 14 .
Answer:
x=-2.5
Step-by-step explanation:
3x-12+7=5x
-5=2x
-2.5=x