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Answer:
1/(3x) =(x -2)/(4x^2 +9)
Step-by-step explanation:
The denominator cannot be factored further, so the final form will be ...
A/(3x) + (Bx +C)/(4x^2 +9)
The value of this is ...
(A(4x^2 +9) +(3x)(Bx +C))/(3x(4x^2 +9))
= ((3B+4A)x^2 +3Cx +9A)/(3x(4x^2 +9))
Equating coefficients gives ...
3B+4A = 7
3C = -6 ⇒ C = -2
9A = 9 ⇒ A = 1
Using the found value of A, we find ...
3B +4 = 7 ⇒ B = 1
Then the decomposition is ...
Answer:
Step-by-step explanation:
Let x be the amount of flour and y be the amount of sugar ordered.
Since, the order of flour and sugar weighs 15 pounds.
Therefore,
Also, Flour costs $0.80 per pound and sugar costs $0.50 per pound.
The cost of ordered flour=$0.80x
The cost of ordered sugar=$0.50y
Now, the total cost of the order=
Hence, for the given situation the system of equations is:-