Answer:
1) y = 3x+5
2) y =
3) y = -x + 0
4) y =
5) y =
Step-by-step explanation:
y = mx+b
In slope-intercept form, these are important to know:
- y and x should stay as variables
- m = slope of the line
- b = y intercept
Using the facts above⬆, we can solve these problems
Remember: Substitute m and b using the given information
1) y = 3x+5
2) y =
3) y = -x + 0
4) y =
5) y =
Hope this helps :)
Have a great day!
a)
b) See interpretation below
Step-by-step explanation:
a)
The motion of both balls is a free-fall motion: it means that the ball is acted upon the force of gravity only.
Therefore, this means that the motion of the ball is a uniformly accelerated motion, with constant acceleration equal to the acceleration of gravity:
in the downward direction.
For the ball dropped from the initial height of , the height at time t is given by
(1)
The ball which is thrown upward from the ground instead is fired with an initial vertical velocity , and its starting height is zero, so its position at time t is given by
(2)
Therefore, the polynomial that represents the distance between the two balls is:
b)
Now we interpret this polynomial, which is:
which represents the distance between the two balls at time t.
The interpretation of the two terms is the following:
- The constant term, , is the initial distance between the two balls, at time t=0 (in fact, the first ball is still at the top of the building, while the second ball is on the ground). For this problem,
- The coefficient of the linear term, , is the initial velocity of the second ball; this terms tells us that the distance between the two balls decreases every second by
feet.
