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:
52
Step-by-step explanation:
Simplify.
36 + 16
52
Glad I could help!
Answer:
The question says area of a square = 9 cm squared.
And they said if the sides are doubled in length what is the new length
so new length = 9 cm^2 × 9 cm^2
which should give you 81cm^2
therefore your answer should be = C
Box plots are used to display data using a rectangle whose vertical edges represent the quartiles.
<h3>(a) The annual salaries of both companies</h3>
From the box plots, we have the following highlights:
- The entry salary at Company A is less than company B
- The median salary at Company A is less than company B
- The highest salary at Company A is greater than company B
<h3>(b) The pros and cons</h3>
For Company A, we have:
There is an outlier in the distribution of company A;
This implies that employees in company A have the possibility of earning more
For Company B, we have:
The entry salary at company B is more than the entry salary of employees in company A
Read more about box plots at:
brainly.com/question/20259080