The form of the partial fraction decomposition of a rational function is given below. 5x^2+3x+54/(x+3)(x^2+9)=a/x+3+bx+c/ x^2+9 find a, b,and c

Step-by-step explanation:

The partial fraction decomposition is given as:

We collect LCD on the RHS to obtain;

We expand the parenthesis in the numerator of the fraction on the RHS.

This implies that:

This is now an identity. Since the denominators are equal, the numerators must also be equal.

We compare coefficients of the quadratic terms to get:

Also the coefficients of the linear terms will give us:

The constant terms also gives us;

Put equation (1) in to equations (2) and (3).

Put equation (4) into (5).

Do backward substitution to get:

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )

1 1/5

step-by-step explanation: