Answer:
Step-by-step explanation:
Given
Required
Determine the equation for h pans and g cups
We have that:
To do this, we make use of the following equivalent ratios.
So, we have:
Express fraction as decimal
Express as fraction
Cross multiply
No options were given. So, I will stop here
I think the answer is 3, -8/2 / 6/-3 .... then you flip and multiply to get to -8/2 x -3/6 which = 24/8 which is equal to 3
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
-4m + 8m = -16
4m = -16
m = -16 / 4
m = -4
