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:
Yes.
Step-by-step explanation:
We have to first find how much of the whole cake (1) that they all ate.
Boris eats 1/5 of the cake.
Maziy eats 1/5 of the cake.
Sanjay and Silas eat 1/5 of the cake.
Jack also has 1/5 of the cake.
The total fraction of cake eaten was:
1/5 + 1/5 + 1/5 + 1/5 = 4/5
Therefore,the fraction of the cake left is:
1 - 4/5 = 1/5
Yes, there is cake left.
The ratio is width over length.
Make a fraction with the width on top and the length on the bottom:
44/70
Both numbers are even and can be divided by 2,
so the simplified fraction becomes 22/35
Answer:8h+50=p
P stands for weekly play
Step-by-step explanation:
52÷2=26 so i would guess there are 26 birds and 26 cats. tho im not a 100% sure since idk what to do with the 138 legs. I tried :-: