Answer:
Step-by-step explanation:
The explicit form for an arithmetic sequence is:
where is the first term and [ted]d[/tex] is the common difference.
The given sequence is arithmetic because term-previous term is the same per each pair of term and previous term.
That is the following holds:
-4-3=-11-(-4)=-18-(-11)
All of these differences are equal to -7, the common difference.
So let's fill in the explicit form:
or
or
or
Answer:
See attached
Step-by-step explanation:
The graph of a <u>proportional linear relationship</u> is a line that <u>passes through the origin</u> (0, 0).
From inspection of the given tables, the <u>linear equations</u> for each table of points is:
The only equation for which y = 0 when x = 0 is y = x/2 → Table 2.
Given points from Table 2:
To <u>graph the line</u>, plot the given points and draw a line through them (see attached).
Answer:
D. Up
Step-by-step explanation:
When a parabola has the form , It is vertical (opens up or down).
Because the variable "x" is squared.
If "a" is positive, then the parabola opens up, but if it is negative, then the parabola opens down.
In this case you have the quadratic function:
Which can be rewritten as:
Therefore, it is vertical, because it has the form:
You can observe that the value of "a" is:
Then, since "a" is positive, the parabola opens up.
