In calculus, we use derivatives to find the instantaneous rate of change at any point on a graph. To find the average rate of change, we just find the slope of the secant line that intercepts two points on the graph.
We find slope with the following equation:
In this case, we are looking for the slope from x = -1 to x = 1. We have both x values, so next we need the y values.
F(-1) = (-1)^2 - (-1) - 1 = 1
F(1) = (1)^2 - (1) - 1 = -1
Now plug in the x and y values to find the slope:
The answer is -1.
Well you can divide by 8 and it gives you 3/2or you can divide by 4 and get 6/4 then divide by 2 and get 3/2 either way there both correct
Answer:
There are two sources that serve as the foundation for conducting research on learning. The first source addresses characteristics of knowledge itself and the different ways in which we learn things. The second source focuses on what goes on in our minds and how that is theoretically represented.
Step-by-step explanation:
The investigations on the process of how we learn have led to two main sources:
- Acquisition of knowledge which involves assimilation or understanding, storage and retrieval
- The second source belongs to a modern learning cognitive psychology, neuroscience, and cognitive science theories on mental representation, which concerns about the build up of an internal symbol or cognitive representation to hypothetically figure out, external reality.
Answer:
The system of linear equations are and
Step-by-step explanation:
Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.
(50 students picked, 25 picked dinner the rest picked lunch and breakfast)
To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?
Solution :
The number of students who chose breakfast be 'x'
The number of students who chose lunch be 'y'.
The number of students who chose lunch was 5 more than the number of students who chose breakfast.
i.e.
Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.
So,
Therefore, the system of linear equations are and
Answer:
18 miles per hour is an outlier
the outlier decreases the mean speed
Step-by-step explanation:
the low number of 18 is way different from the other numbers being in the 30's and 40's
this 18 will bring the mean of all the numbers own because it is a smaller number.