Help immediately!!!!! What is the average rate
2 answers:
Answer:
4
Step-by-step explanation:
1. Information
Another word for the average rate of change is the slope. The question is essentially asking, what the slope is over the interval of [3, 4]. Hence, one will use the following points, that are on this given function;
(3, -5), (4, -1)
One must also know that the formula for slope is;
2. Solving
Input the given points into the formula and solve.
4
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Answer:
t = 2
Step-by-step explanation:
Notice that this expression for the projectile's path is that of a quadratic function with negative leading term. The graph of it therefore consists of a parabola with the branches pointing down (due to he negative leading coefficient). Therefore, the maximum of such parabola will reside at its vertex.
Recall that the formula for the position of the vertex in a general parabolic function of the form: , is given by the expression:
In our case, the variable "x" is in fact "t", the leading coefficient () is -5, and the coefficient for the linear term (
) is 20.
Therefore, the maximum of the path will be when