What is the equation of the line?

3rd choice

Step-by-step explanation:

y = mx + b

Look at where the line crosses the y-axis. That is the y-intercept. It is 2, so b = 2, and you have

y = mx + 2

Now we need the slope, m.

Start at (0, 2). Go up 1 and right 2.

slope = m = rise/run = 1/2

Now you have

y = 1/2 x + 2

3rd 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.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.