Let's solve your equation step-by-step.
2x
/5 + 3 = x/10 - 1
Step 1: Simplify both sides of the equation.
2x
/5 + 3 = x/10 - 1
2/5x + 3 = 1/10x - 1
Step 2: Subtract 1/10x from both sides.
2/5x + 3 - 1/10x = 1/10x - 1 - 1/10x
3/10x + 3 = -1
Step 3: Subtract 3 from both sides.
3
/10x + 3 - 3 = -1 - 3
3/10x = -4
Step 4: Multiply both sides by 10/3.
(10/3) * (3/10x) = (10/3) * (-4)
x = -40/3
If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule

From this definition, we can write
in terms of
:




and so on, up to

(notice how the subscript on <em>a</em> and coefficient on 3 add up to <em>n</em>)
or

Answer:
D
Step-by-step explanation:
First, plot the points they gave you onto a graph (shown in the attached image). The slope is the rise (units up or down from a given point) over the run (units left or right from a given point).
So the slope is 6/4 because to get from the red point to the blue point, you rise 6, and run 4. And from blue to red you rise (remember rise goes up or down) 6 and run 4. 6/4 can be simplified to 3/2 so D is your answer :)
Answer: 3sqrt6
Step-by-step explanation: