Answer:
= n² - 2
Step-by-step explanation:
Consider the differences between the values
- 1 , 2 , 7 , 14 , 23
3 5 7 9 ← not constant
Now consider the difference of these differences
3 , 5 , 7 , 9
2 2 2 ← constant
Since the second differences are constant, this indicates a quadratic n²
Now consider the position values of n
n = 1 : 1² = 1 ← require to subtract 2 for - 1
n = 2 : 2² = 4 ← require to subtract 2 for 2
n = 3 : 3² = 9 ← require to subtract 2 for 7
n = 4 : 4² = 16 ← require to subtract 2 for 14
n = 5 : 5² = 25 ← require to subtract 2 for 23
Thus n th term formula is
= n² - 2
The angle BAC and DCA are alternate interior angles , Option D is the right answer.
What are Parallel Lines ?
The lines in a plane which never intersect and are at a same distance always are called Parallel Lines.
In the given question it is given that there are two lines FG and DE
The lines are parallel to each other , and transversal are AC and BC .
The angle BAC and DCA are alternate interior angles as AC is the transversal of the parallel lines.
Option D is the right answer.
To know more about Parallel Lines
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Answer: 40
Step-by-step explanation:
Step-by-step explanation:
We have been given that Jeanie stated that the equation of this line best fit for the scatter plot is
.
Let us find the slope of the line of best fit using points (2,7) and (4,6) in slope formula.


We can see that slope of line of best fit is
.
Since the equation of a line written in slope-intercept is in form:
, where m=slope of line, b= y-intercept.
Upon substituting m=
and coordinates of one point in slope-intercept form of equation we will get,



Upon substituting m=
and b=8 in slope intercept form, we will get,

We can see that equation of the line of best fit is
. Jeanie got 1/2 as slope of the line of best fit, which is wrong, therefore, Jeanie's equation of the line of best fit is not correct.