30th term of 3,8,13,18

The 30th term is 148. The change in y (3,8,13,18) is +5. Add 5 to find the number next in sequence; subtract 5 to find the number previous in sequence.

Step-by-step explanation:

Numbers in sequence 0-10: -2, 3, 8, 13, 18, 23, 28, 33, 38, 43, 48.

Numbers in sequence 11-20: 53, 58, 63, 68, 73, 78, 83, 88, 93, 98.

Numbers in sequence 21-30: 103, 108, 113, 118, 123, 128, 133, 138, 143, 148.

If you didn't notice the pattern, every +5 (POSITIVE +5), the number in sequence either ends in a 3 or an 8. The equation of the line would be y=5x+5 because the slope () is , or 5. Applying Δy/Δx ("change in y over change in x": the y-intercept is 5 because the change in y is ±5 (in this explicit case: +5), and the change in x is ±1 (in this explicit case: +1).

The simplest way to find the equation of the line here is utilizing . You can use any two points (±) to find the slope, such as (1, 3) and (2,8) ₋ looking at the table I inserted below, you can pick any two points - for instance, 1 & 3 would be (1, 3), 2 & 8 would be (2, 8), 3 & 13 would be (3, 13), and 4 & 18 would be (4, 18). You would find the y-intercept by identifying the change in y, which I did in the paragraph above.

To find slope:

Formula to find the distance between two points:

Chosen two points: Point 1 (x1,y1): (1,3) and Point 2 (x2, y2): (2,8)

Y2-Y1 will provide the change in y and the rise of the slope. X2-X1 will provide the change in x and the run in slope. = (8-3=5 and 2-1=1). Therefore, the change in y and rise of the slope is 5, and the change in x and the run in slope is 1. simplifies to 5, so the slope is 5.

The change in y provides the y-intercept. The change in y is 5.

Identifying slope and the y-intercept

y=mx+b is the formula for slope and y-intercept, AKA slope-intercept form.

M is the slope of the line, and b is the y-intercept, or the change in y. The y-intercept of this line is the value of y at the point where the line crosses the y axis. The y before the sign of equality (=) will stay as y, and the x after m, or the slope, will stay as x. It means y-axis=(m)x-axis + (b).

Equation of the Line

Therefore, the equation of the line is y=5x+5. I inserted a graph below in which I graphed the equation of the line, as well as a table for the terms.

c is the answer

step-by-step explanation:

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00