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determine the number of solutions for the quadratic function f(x) = 3x^2 + 5x + 10.

0 real solutions

Step-by-step explanation:

I guess you are looking for the number of real solutions? Correct me if I'm wrong.

There is something called the discriminant that can help us determine this without actually solving f(x)=0 for x.

The discriminant is the thing inside the square root in the quadratic formula.

It is the thing that reads b^2-4ac.

If b^2-4ac:

A) is negative, then you have 0 real solutions (you could say 2 complex solutions)

B) is positive, then you have 2 real solutions

C) is 0, then you have 1 real solution

So comparing 3x^2+5x+10 to ax^2+bx+c, you should see that a=3, b=5, and c=10.

b^2-4ac

=5^2-4(3)(10)

=25-120

=-95

That is a negative result so you have no real solutions.

its definatley   this on your answer choice?

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.