ANSWER

EXPLANATION
The given sequence is
3,-5,-13,.....-229.
The first term of this sequence is
a_1=3
There is a common difference of

The last term of this sequence is -229.
The nth term of this sequence is given by:

We use the last term to determine the number of terms in the sequence.



Divide through by -8;


Hence there are thirty terms in the sequence.
The sum of the first n terms is given by:

The sum of the first 30 terms is given by:



Answer:
4
Step-by-step explanation:
Rate of change = Slope (if Sidelength = x, and perimeter= y)
(1,4) and (2,8) are point (if it was a line)
Use the slope formula...
(8-4)/(2-1)=
4/1=
4
The equation of a direct variation is of the form

But the given function can be rewritten as

This is a partial variation,

is the constant of variation and

is the fixed constant.
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Answer:
There are two complex roots.
Step-by-step explanation:
When the discriminant is a negative number, the parabola will not intersect the x-axis. This means that there are no solutions/two complex solutions.