Answer:
f(x) = 7/(x+3) -38/(x+3)²
Step-by-step explanation:
The denominator is a perfect square, so the decomposition to fractions will involve both a linear denominator and a quadratic denominator.
You can start with the form ...
... f(x) = B/(x+3) + A/(x+3)²
and write this sum as ...
... f(x) = (Bx +3B +A)/(x+3)²
Equating coefficients gives ...
... Bx = 7x . . . . . B = 7
... 3B +A = -17 . . . . the constant term
... 21 +A = -17 . . . . filling in the value of B
... A = -38 . . . . . . . subtract 21 to find A
Now, we know ...
... f(x) = 7/(x+3) -38/(x+3)²
Answer:
5/6. Is this what u are looking for?
Step-by-step explanation:
Step 1 Simplify:2x(6)-19=-9 to 12x+-19=-9
Step 2 Add 19 to both sides: 12x-19+19=-9+19. You should get 12x=20
Step 3 Divide 12 on both sides: 12x/12=10/12
x=10/12. Simplified= x=5/6
Answer:
D: Point E is the midpoint of segment AC
Step-by-step explanation:
The midpoint is a point where it is in the middle of a line, line segment, or ray.
Congruent means something that is exactly the same.
Congruent triangles are two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Bisect means separating something into two precise and equal pieces/ angles.
Similar triangles means two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.