Here the topic is "functions." Roughly speaking, we have a box. Input enters at one end and output exists at the other. Now, if every input value x (such as 2) is doubled by the box, every output value is 2x: (0,0), (1,2), (2,4), etc.
We call this "doubling" a "constant rate of change.
If you plot the points given, you'll see that they all are on a straight line. That straight line has the slope 2: y = 2x. Again, 2 is the "constant rate of change" here.
If you drive at a steady 55 mph, you are covering 55 miles during every hour behind the wheel. Again, 55 is a "constant rate of change."
Hello!
To find the distance between the points (1, 25) and (4, 21), you need to use the distance formula.
The distance formula is: 
. With the distance formula, you have to assign the ordered pairs before substituting them into the formula, which is also used to to find the slope of functions.
Therefore, the distance between the two points is 5 units.
Answer:
x = 5
Step-by-step explanation:
x + 5 = 10
<u> -5 -5</u>
x = 5
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Answer:
x=1
Step-by-step explanation:
Initially, Ball A of 10 kg will have velocity x, while Ball B of 30 kg has velocity -10 m/s.
After collision, Ball A will have a velocity of -30 m/s, while Ball B will have velocity 10 m/s. We assume their masses do not change.
(10 kg)(x m/s) + (30 kg)(-10 m/s) = (10 kg)(-30 m/s) + (30 kg)(10 m/s)
10x - 300 = -300 + 300
x = 30 m/s (to the right)
