Answer:
fx-6x+15
Step-by-step explanation:
fx-(6x-6)+9
fx-6x+6+9
fx-6x+(6+9)
fx-6x+15
Answer:
Perpendicular
Step-by-step explanation:
To tell if the lines are perpendicular/parallel, you must look at the slope, but in this case, you must first get y by itself, like so:
3x + 7y = 15
-3x - 3x
___________
7y = -3x + 15
<em><u>Divide both sides by 7:</u></em>
y = 
<em><u>Now the other equation:</u></em>
7x - 3y = 6
-7x -7x
_________
-3y = -7x + 6
<em><u>Divide both sides by -3:</u></em>
y = 
You can see that the lines are perpendicular because the slopes (
and
) are opposite reciprocals.
Instead of using the quotient rule, you can first expand <em>y</em> :
<em>y</em> = (4<em>x</em> - 1)^2 / <em>x</em> ^2 = (16<em>x</em> ^2 - 8<em>x</em> + 1) / <em>x</em> ^2 = 16 - 8/<em>x</em> + 1/<em>x</em> ^2
Then the derivative is
d<em>y</em>/d<em>x</em> = -8/<em>x</em> ^2 - 2/<em>x</em> ^3
The tangent to the curve at (-1, 25) then has a slope or gradient of
d<em>y</em>/d<em>x</em> = -8/(-1)^2 - 2/(-1)^3 = -6
1.) y= 2/3x
2.)y= -1x + 1
3.)y= 2x + 1
4.)y= -2/3x + 1
The structure of the formula is y = mx + b.
m is the slope.
slope is found by rise over run.
b is the y intercept.
which is found by where the line is on the y axis