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>
Easy peasy lemon squeesy :D (-.-)! more blueberries! omgydnkhtdt(Oh my god you do not know how to do this
Answer:
97
Step-by-step explanation:
Arc AT = angle at the center 97°
Any linear function is of the form y=mx+b
Here m is slope and b is y intercept.
Slope is difference in y divided by different in x values .
In the question for 5 persons cost is $100 and for 10 persons cost is $162.50
So the points are (5,100) and (10,162.50)
Slope m=
=12.50
We can find the value of b by taking m=12.50 and (x,y)=(5,100)
Substitute these values in y=mx+b
100=12.50(5)+b
100=62.50+b
Subtracting 62.50 both sides
b=100-62.50
b=37.5
a) Put m=12.50 and b=37.50 to get the equation
y=12.50x+37.50
b)Rate of change is the m value or the slope of the function.
Initial value that is (5,100) gives us one of the points to find the rate of change.
Answer:I believe the answer is A
Step-by-step explanation:
