Answer:
D: 0 and 1
Step-by-step explanation:
Function is defined by;
f(x) = 3x^(5) - 5x⁴
Now, an inflection point will be a point on the graph where the inflection or concavity changes.
Thus, let's find the derivatives until we get there;
f'(x) = 15x⁴ - 20x³
f''(x) = 60x³ - 60x²
So factorizing gives;
f''(x) = 60x²(x - 1)
At f''(x) = 0, we have; x = 0 or x = 1
Thus, the x coordinates of points of inflection are 0 & 1
We first need to find the distance.
The information about Mike will provide the distance we need to answer the question about Pedro.
We will use D = rt
Mike:
(6.5)((17/5) = D
22.1 miles = D
Pedro:
D = rt
22.1 = (19/5)t
We need to find t.
22.1 ÷ 3.8 = t
5.8157894737 = t
We now round off as instructed.
5.82 = t
It took Pedro 5.82 hours to reach the lake.
Answer:
D) (1,-2)
Step-by-step explanation:
The vertex for a quadratic function is either the minimum point or the maximum point of the curve depending on the nature of the curve from which the curve changes direction.
In the graph shown for the quadratic function, it has minimum point as the graph opens upwards. So, the vertex is the minimum point of the curve.
The vertex of the graph is 
.
