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)
Answer:
True
Step-by-step explanation:
Correct.
For example.
Suppose the actual yield is of 80 and the theoretical yield is of 100. We want to, for example, know the percentage of the yield. First we divide 80 by 100, which is 0.8, a decimal value. To write as a percentage, we multiply it by 100.
So the correct answer is:
True
Answer:
Step-by-step explanation:
1) Expand by distributing terms.
2) Collect like terms.
3) Simplify.
<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>2w</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>7</u></em><em><u>.</u></em>
43.8 + x = 46.59
x = 46.59 - 43.8 ( when you move a number to the other side, flip the sign)
x = 2.79 (answer)
hope this helps
X-width
2x-3-length
A=lxw
104=(2x-3)(x)
104=2x^2-3x
52=x^2-3/2(x)
52+9/16=x^2-3/2(x)+9/16
841/16=(x-3/4)^2
29/4=x-3/4
x=32/4 or 8
length is 2(8)-3 which is 13 and width is 8
