(3n+2)/(n-4) - (n-6)/(n+4)
common denominator (n-4)(n+4)
{(n+4)(3n+2)-(n-4)(n-6)}/{(n-4)(n+4)}
Use the foil method:
{(3n²+14n+8)-(n²-10n+24)}/{(n-4)(n+4)}
distribute negative sign:
{(3n²+14n+8-n²+10n-24)}/{(n-4)(n+4)}
subtract:
(2n²+24n-16)/{(n-4)(n+4)}
take out 2:
2{n²+12n-8}/{(n-4)(n+4)}
1. Write the equation:
d(-3 + x) = kx + 9
2. "Open" the parenthesizes:
-3d + dx = kx + 9
3. Take kx to the left side, -3d to the right, everything with different sign (+ replace with - when transferring, - replace with +):
dx - kx = 9 + 3d
4. Factor x in the left side:
x(d - k) = 9 + 3d
5. Finally, divide the whole equation by (d - k):
x = (9 + 3d)/(d - k)
That's the final answer. Good luck!
All you have to do is add the number of vanilla and the number of chocolate, then divide the result by 24. You round up the result to the nearest whole number.
Like so:
377+935=1312
1312/24=54.67
55
So, she would have to refill it 55 times to use all the batter.
Answer:
3. How many faces do each of the following have?
- cube - 6 faces
- square pyramid - 5 faces
- triangular pyramid - 4 faces
- pentagonal pyramid - 6 faces
Hope this helps!
Answer:
A. horizontal reflection
Step-by-step explanation:
Given:
To identify the type of transformation.
Solution:
On close observation of the functions we find the that sign of 
has changed in 
with other terms being constant.
<em>Thus, the transformation statement can be given as:</em>
As:
The transformation describes horizontal reflection of function across the y-axis.
Thus, 
is horizontally reflected across y-axis to get .
