Answer:
Step-by-step explanation:
Given:
(y/y - 4) - (4/y + 4) = 32/y^2 - 16
Note y^2 - 16 = (y - 4 ) × (y + 4)
Multiplying the equation; both sides by y^2 - 16,
y (y + 4) - (4(y - 4)) = 32
y^2 + 4y - 4y + 16 = 32
y^2 = 32 - 16
Squaring both sides,
y = sqrt(16)
= 4
Answer:
Answer:
Force = 42 N
Area = 7 m^2
Pressure = Force/Area
= 42/7
= 6 N/m^2.
Step-by-step explanation:
got it from brainly
Answer:
$33
Step-by-step explanation:
Let the amount of money Corey has be $x.
Amount of money Bryce have= $(x +16)
Total amount= $50
$x +$(x +16)= $50
2x +16= 50
2x= 50 -16
2x= 34
Divide both sides by 2:
x= 34 ÷2
x= 17
Amount of money Bryce have
= $(17 +16)
= $33
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)
If 10% was added to the total (100%), then subtract 10% from 17.85.
17.85 * 0.1 = 1.785
17.85 - 1.785 = 16.065
$16.07
