For number 13,the arrow should be going “<“ way because it is in fraction form and the bigger the number the smaller the pieces. This repeats for the rest of the questions so for number 14,the answer is “=“,and for number 15 it is “>”
2/3x - 1/2 = 1/3 + 5/6x....multiply the entire equation by the common denominator of 6...this will get rid of the fractions.
6(2/3x - 1/2) = 6(1/3 + 5/6x) =
4x - 3 = 2 + 5x...subtract 5x from both sides
4x - 5x - 3 = 2...add 3 to both sides
4x - 5x = 2 + 3...combine terms
-x = 5...multiply by -1 to make x positive
x = -5
Answer:
3.5 (meters per second)
Step-by-step explanation:
To calculate the slope, we need two points. Let's see if we can select two points from the graph.
From the graph, we can pick out two possible points.
At the beginning, (0,2.5) is a valid candidate.
And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.
The slope formula is:

Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:

Simplify:

Thus, the slope is 3.5 meters per second.
Further notes:
And the entire equation will be:
