The partial fraction decomposition is
<h3>How to determine the decomposition?</h3>
The fraction is given as:
Split the fraction as follows:
Take the LCM
Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:
Hence, the partial fraction decomposition is
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Step-by-step explanation:
(p-3)[x²+4]+4=0
(p-3)[x²+4]=-4
(p-3)=-4/x²+4
p=-4/x²+4+3
p=-4+3(x²+4)/x²+4
p= -4+3x²+12/x²+4
p=8+3x²/x²+4
Answer:
-5-11x+2
Step-by-step explanation:
-4-6x-1--5x+3=-5-11x+2
Answer:
8 1/30
Step-by-step explanation:
Calculate by converting into improper fractions.
The value of the question mark I 8.
Step by step solution:
Values:
Brown frosted donut: 3
Orange frosted donut: 1/3
White frosted donut: 1
Hope this helps!! :)