Answer:
Step-by-step explanation:
(8x²-18x+10)/(x²+5)(x-3)
express the expression as a partial fraction:
(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +bx+c/x²+5
both denominator are equal , so require only work with the nominator
(8x²-18x+10)=(x²+5)A+(x-3)(bx+c)
8x²-18x+10= x²A+5A+bx²+cx-3bx-3c
combine like terms:
x²(A+b)+x(-3b+c)+5A-3c
(8x²-18x+10)
looking at the equation
A+b=8
-3b+c=-18
5A-3c=10
solve for A,b and c (system of equation)
A=2 , B=6, and C=0
substitute in the value of A, b and c
(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +(bx+c)/x²+5
(8x²-18x+10)/[(x^2+5)(x-3)] = 2/x-3 + (6x+0)/(x²+5)
(8x²-18x+10)/[(x^2+5)(x-3)] =
<h2>2/(x-3)+6x/x²+5</h2>
(4x+2)/[(x²+4)(x-2)]
(4x+2)/[(x²+4)(x-2)]= A/(x-2) + bx+c/(x²-2)
(4x+2)=a(x²-2)+(bx+c)(x-2)
follow the same step in the previous answer:
the answer is :
<h2>(4x+2)/[(x²+4)(x-2)]= 5/4/(x-2) + (3/2 -5x/4)/(x²+4)</h2>
Solve for m:
1.6 m - 4.8 = -1.6 m
Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m
1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0
1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0
Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8
4.8 - 4.8 = 0:
3.2 m = 4.8
Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2
3.2/3.2 = 1:
m = 4.8/3.2
4.8/3.2 ≈ 1.5:
Answer: m ≈ 1.5
Answer:
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Step-by-step explanation:
Answer: 
Step-by-step explanation:
- The equation of the line in the slope intercept form is: 
Where m is the slope and b is the y-intercept of the line
- Let's choose two points of the line: (8,-1) and (-4,-4).
- You must calculate the slope of the line as following:
- As you can see in the graph attached, the line intersects the y-axis at -3, then b=-3.
- Substituting values into the equation of the line, you obtain:
