Answer:
(E)Nothing can be concluded.
Step-by-step explanation:
Given the function 

![f'(x)=-\dfrac{2}{3}x^{-\frac{1}{3}}\\f'(x)=-\dfrac{2}{3\sqrt[3]{x} }](https://tex.z-dn.net/?f=f%27%28x%29%3D-%5Cdfrac%7B2%7D%7B3%7Dx%5E%7B-%5Cfrac%7B1%7D%7B3%7D%7D%5C%5Cf%27%28x%29%3D-%5Cdfrac%7B2%7D%7B3%5Csqrt%5B3%5D%7Bx%7D%20%7D)
If the derivative is set equal to zero, the function is undefined.
Nothing can be concluded since
and no such c in (-1,1) exists such that 
<u>THEOREM</u>
Rolle's theorem states that any real-valued differentiable function that attains equal values at two distinct points must have at least one stationary point somewhere between them—that is, a point where the first derivative is zero.
80 is the old value and 86 is the new value so I thin the change was only 6% sorry if this is wrong
For this case we have that by definition, the area of a rectangle is given by:

Where:
w: Is the width of the rectangle
l: is the length of the rectangle
According to the data of the statement we have:

Substituting:

Substituting the values:

Thus, we have two roots:
w_ {1} = \ frac {5+ \ sqrt {157} {2}} = 8.77
w_ {2} = \ frac {5+ \ sqrt {157} {2}} = - 3.77
We choose the positive value. So the width of the rectangle is approximately 8.77 meters and the length is 3.77 meters
Answer:

Answer:

52
Step-by-step explanation:
First, write the equation out in the algebraic form. Half of a number is equivalent to a number times 1/2. Additionally, increasing a number by 4 is just adding 4. So the equation is
.
Then, use algebra to solve.
1) Subtract 4 from both sides
1/2x=26
2) Multiply both sides by 2, because that is the same as dividing by a fraction
x=52