Answer:
Step-by-step explanation:
step 1:- by using partial fractions
![[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }](https://tex.z-dn.net/?f=%5Btex%5D%5Cfrac%7B1-x%7D%7Bx%28x%5E%7B2%7D%2B1%29%20%7D%20%3D%5Cfrac%7BA%28x%5E%7B2%7D%2B1%29%2B%28Bx%2BC%29%28x%20%7D%7Bx%28x%5E%7B2%7D%2B1%29%20%7D)
......(1)
<u>step 2:-</u>
solving on both sides
substitute x =0 value in equation (2)
1=A(1)+0
<u>A=1</u>
comparing x^2 co-efficient on both sides (in equation 2)
0 = A+B
0 = 1+B
B=-1
comparing x co-efficient on both sides (in equation 2)
<u>-</u>1 = C
<u>step 3:-</u>
substitute A,B,C values in equation (1)
now
by using integration formulas
i) by using 
.....(b)
.....(c)
<u>step 4:-</u>
by using above integration formulas (a,b,and c)
we get answer is
Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Jeremiah travels 8 mph faster than Ermias, hence their velocities are:
x, x + 8
They travel in opposite directions, hence in one hour they are 2x + 8 apart.
In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:
8(2x +8) = 240
2x + 8 = 30
2x = 22
x = 11.
Then:
- x = 11 + 8 = 19 -> Jeremiah.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
they are like terms
Step-by-step explanation:
the sign ± is not a matter only veriable and power
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
