Answer:
Step-by-step explanation:
we have
we know that
If a set of ordered pairs represent possible inputs and outputs of the function
then
All ordered pairs of the set must be satisfy the function
<u>case A)</u>
Substitute the value of x and y of each point in the function
Point 1
-------> is not true
The set of case A does not represent possible inputs and outputs of the function
<u>case B)</u>
Substitute the value of x and y of each point in the function
Point 1
-------> is true
Point 2
-------> is true
Point 3
-------> is true
The set of case B represents possible inputs and outputs of the function
<u>case C)</u>
Substitute the value of x and y of each point in the function
Point 1
-------> is not true
The set of case C does not represent possible inputs and outputs of the function
<u>case D)</u>
Substitute the value of x and y of each point in the function
Point 1
-------> is not true
The set of case D does not represent possible inputs and outputs of the function
Answer:
The table shows the heights of the winners and runner-ups of 8 presidential elections. Find the line of regression that predicts the runner-up's height given the winner's height. Determine if the regression line is a good predictor of heights for the winners and runner-ups of presidential elections.
Winner: 69.5; 73; 73; 74; 74.5; 74.5; 71; 71
Runner-Up: 72; 69.5; 70; 68; 74; 74; 73; 76
a. y = 95.4 - 0.321x; no, because the r-value is low.***
b. y = -0.321 + 95.4x; no, because the r-value is low.
The n-th trianglar number is given by
Then
Alternatively, the triangular numbers are defined recursively by
This means
so that
Answer: 42
Step-by-step explanation: 7+7+7+7+7+7