Answer:
Step-by-step explanation:
<u>Given the following data;</u>
Initial velocity = 0 (since the stone is starting from rest).
Final velocity = 32 m/s
Acceleration = g = 10 m/s²
Time = 3.2 seconds
To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;
Where;
- V is the final velocity.
- U is the initial velocity.
- a is the acceleration.
- t is the time measured in seconds.
Substituting into the formula, we have;
<em>Proven: 32 m/s = 32 m/s</em>
Answer:
(f·g)(x) = x³ -8x² +20x -16
Step-by-step explanation:
The distributive property is useful for this.
(f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)
= x(x² -6x +8) -2(x² -6x +8)
= x³ -6x² +8x -2x² +12x -16
(f·g)(x) = x³ -8x² +20x -16
_____
<em>Additional comment</em>
I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.
Answer:
x, process, y
-2, -2-1, -3
-1, -1-1, -2
0, 0-1, -1
1, 1-1, 0
2, 2-1, 1
X = -2, -1, 0, 1, 2
Y = -3, -2, -1, 0, 1
Step-by-step explanation:
Coordinates for the graph are ( -2,-3), (-1,-2), (0,-1), (1,0), (2,1)
The graph is the image attached to this.
How to get Y:
-2-1= -3
-1-1= -2
0-1= -1
1-1= 0
2-1= 1
Hope this helps.
For any sphere:
We can plug in 11 for the radius
and simplify.
