-4,-1,2,5
What is the 10th term of the sequence

23

Step-by-step explanation:

The sequence begins at -4 and we need the 10th term.

By finding the sum between any 2 sequential values we find the change to be 3 from one value to the next.

Knowing the change per value is 3 and that 4 values are already  shown we simply add 3 to 5 and then 3 to every value after 5 six more times.

6 x 3, or the total change in the unknown part of the sequence is 18, and 18+5 is 23

An equation that could be used for this would be 9(x)-4.

The reasoning for this is due to our starting value being -4, and that we are only increasing 9 times to get to the tenth term.

9(3)-4= 23

The discriminant tells us how many real solutions there are. Since the parabola doesn't have any x-intercepts, the discriminant is less than zero, and therefore is answer A.

If a discriminant is:
>0, there are 2 x-intercepts
=0, there is 1 x-intercept
<0, there are no x-intercepts