Answer:
Dy/Dx=x
(
2
ln
(
x
)
−
1
)/
ln
^2
(
x)
Step-by-step explanation:
We have this function and let's derive it in terms of x.
y =x^2/In x
Dy/Dx=(x^2/In x)'=2/lnx *(x^2)'-(x^2/In x)'=> 2
x
*ln
(
x
)
−
x
*ln
^2
(
x
)
=x
(
2
ln
(
x
)
−
1
)/
ln
^2
(
x)
An equation that goes through (-2, 1) and has a slope of 4 is y = 4x + 9.
You can find this by looking for the y-intercept (b) by using the slope (m), the point and slope intercept form. The work is below for you.
y = mx + b
1 = 4(-2) + b
1 = -8 + b
9 = b
Now we can use that and the slope to create the equation y = 4x + 9
The price of each item is $1.37.
Answer:
Step-by-step explanation:
So the first thing to do is get the number of angles inside this pentagon, which is 540 degrees. One way to do this is that you know a pentagon is formed of 3 triangles and since there are 180 degrees in a triangle, 3x180=540
Then it is algebra
540=91+125+92+(3x-5)+(4x-8)
Simplify what you can and collect like terms
540=308+3x-5+4x-8
540=308+7x-13
Then move everything over to the one side so that the variable is isolated
540-308+13=7x
245=7x
242/7=x
35=x