Answer: 1%
Step-by-step explanation: Total 2,000
BioChem Lab: 25% of total = 25% . 2000 = 500
LabRep: 45% of Lab = 45% . 500 = 225
There will be 9 LabRep: 225/9 = 25
Participation: 10% of LabRep = 10% . 25 = 2.5
Actual LabRep: 90% of LabRep = 90% . 25 = 22.5
So, each lab report is worth 22.5 of 2000 = 2.5/2000 = 0.01125 = 1.125%
Nearest whole number = 1%
The partial fraction expansion takes the form
-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = <em>a</em>/(<em>x</em> + 2) + <em>b</em>/(<em>x</em> + 8)
Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.
Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:
-6<em>x</em> = <em>a</em> (<em>x</em> + 8) + <em>b</em> (<em>x</em> + 2)
Expand the right side and collect terms by powers of <em>x</em> :
-6<em>x</em> = (<em>a</em> + <em>b</em>) <em>x</em> + (8<em>a</em> + 2<em>b</em>)
It follows that
<em>a</em> + <em>b</em> = -6 and 8<em>a</em> + 2<em>b</em> = 0
==> <em>a</em> = -2 and <em>b</em> = 8
So we end up with
-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = -2/(<em>x</em> + 2) + 8/(<em>x</em> + 8)
<< Add
to the left and right of the equation, multiple and make ''opposite multiplation'' to find x.
A)
25x.(-32)= (-16).5
-800x= -80
**to leave x alone and positive, you must divide to -800.
= INCORRECT
B)
C)
10x=1
D)
40x= 4
x=
= 1/10
I think there is a problem with the options :D
What you do is move the equation around so the 12 -4.5x would now turn into y=-4.5x+12
Answer:
-1
Step-by-step explanation:
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