Answer:
-1 / x + (x + 1) / (x² + 3)
Step-by-step explanation:
(x − 3) / (x (x² + 3))
There are two factors in the denominator, so split this into two fractions with unknown numerators:
A / x + (Bx + C) / (x² + 3)
Combine back into one fraction:
(A (x² + 3) + (Bx + C) x) / (x (x² + 3))
Now equate this numerator with the original:
A (x² + 3) + (Bx + C) x = x − 3
Ax² + 3A + Bx² + Cx = x − 3
(A + B) x² + Cx + 3A = x − 3
Match the coefficients:
A + B = 0
C = 1
3A = -3
Solve:
A = -1
B = 1
C = 1
Therefore, the partial fraction decomposition is:
-1 / x + (x + 1) / (x² + 3)
Here's a graph showing that the two are the same:
desmos.com/calculator/hrxfnijewh
Answer:
blurr...
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Answer:
Fiona kept of the cake in the freezer.
Step-by-step explanation:
Given:
Amount of cake she eats =
can be written in reduced form as
Amount of cake she eats =
Amount of cakes she gives to friend =
We need to find the amount cake she kept in the freezer.
Solution:
Now we can say that;
the amount cake she kept in the freezer is equal to whole cake minus Amount of cake she ate minus Amount of cakes she gives to friend.
framing in equation form we get;
the amount cake she kept in the freezer =
Now we will make the denominator common by taking LCM.
the amount cake she kept in the freezer =
Now the denominator are common so we will solve the numerator we get;
the amount cake she kept in the freezer =
Hence Fiona kept of the cake in the freezer.