Please help 20 points to brainliest!!

41

Step-by-step explanation:

You are going up by 4 for every term. So, for the 13th term, you're going up by 4*13= 52.

However, -7 is a term itself. -7 is the 1st term. If you added 52 to -7, that would be the 14th term! So, we will subtract 4 when we add 52 to -7.

-7+52=45

45-4=41

The answer is 41!

Hope this helps!

D

Step-by-step explanation:

So first, we can see that this is an arithmetic sequence since each subsequent value is 4 greater than the previous one.

To find the value of the 13th term, we can construct an explicit formula for the sequence. Recall that an explicit formula of an arithmetic sequence has the following format:

Where n is the nth term, a is the initial term, and d is the common difference.

So, we already know that a is -7 the initial term. And also, every term is +4 than the previous one. Thus, the common difference is 4.

Plugging in all into the equation, we have:

So, to find the 13th term, use 13 for n:

Simplify:

So, the 13th term is 41.

The answer is D.

where's the diagrams?

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be