Answer:
I believe the answer would be B. 9.1
Step-by-step explanation:
I am not 100% sure this is correct since I haven't done a problem like this in years but i'm like 90% sure.
4x+(x+5)=20
5x+5=20
5x=15
X=3
0.05 kilogramos.................
The axis of symmetry is at x = -3.
This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).
It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3
ANSWER
See below
EXPLANATION
Part a)
The given function is

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).
b) Using calculus, we find the first derivative of the given function.

At turning point f'(x)=0.

This implies that,



We plug this values into the original function to obtain the y-values of the turning points

We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]


Hence

is a maximum point.

Hence

is a minimum point.

Hence (0,-6) is a point of inflexion