Ordered pairs that work for this direct variation are (4, 3), (8, 6) and (12, 9).
In order to find these, we must first find the value of the direct variation coefficient. We can do that using the base equation y = kx and then by plugging in to find k.
y = kx
12 = k(16)
3/4 = k
Now that we have k, we can model the equation as y = 3/4x. We can also find any number of ordered pairs by using the x value and finding the y value. All of the above answers work.
Answer:
The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.
Step-by-step explanation:
Because it has already been factored, we can solve it straight away. Now, since m is a variable, we yield the same result if m = 0 or m = 3 because we have two components to this equation.
We can either have m = 0 or m - 3 = 0
Hence, m is either 0 or 3
Answer:
x = 8
Step-by-step explanation:
Simplifying
9x + -25 = 5x + 7
Reorder the terms:
-25 + 9x = 5x + 7
Reorder the terms:
-25 + 9x = 7 + 5x
Solving
-25 + 9x = 7 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-25 + 9x + -5x = 7 + 5x + -5x
Combine like terms: 9x + -5x = 4x
-25 + 4x = 7 + 5x + -5x
Combine like terms: 5x + -5x = 0
-25 + 4x = 7 + 0
-25 + 4x = 7
Add '25' to each side of the equation.
-25 + 25 + 4x = 7 + 25
Combine like terms: -25 + 25 = 0
0 + 4x = 7 + 25
4x = 7 + 25
Combine like terms: 7 + 25 = 32
4x = 32
Divide each side by '4'.
x = 8
Simplifying
x = 8
