Answer : option D
The rate of change is not constant and increases then decreases over time. The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.
Rate of change is nothing but the slope
To find slope we use formula 
Time (seconds) Height (feet) Rate of change
0 -------------------------0
0.5 -----------------------16 --------------------
1 ----------------------24 --------------------
1.25 -----------------------25--------------------
1.5 -------------------------24 --------------------
2 ----------------------------16 --------------------
2.5 -------------------------0 --------------------
Rate of change is positive till 1.25 seconds and then it becomes negative. From this it is clear that, the rate of change is not constant and increases then decreases over time. The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.
Answer:
x-intercept = 1/3, y-intercept = 1
Step-by-step explanation:
y = mx + b (general equation where m=gradient, b=constant)
-8 = 3m + b (from first pair of coordinates)
13 = -4m + b (from second pair of coordinates)
3m + b - (-4m + b) = -8 - 13
7m = -21
m = -3
Using one of the linear equations above:
-8 = 3(-3) + b
-8 = -9 + b
b = 1
Therefore, the linear equation is: y = -3x + 1
To find x-intercept:
Let y = 0
0 = -3x + 1
-1 = -3x
x = 1/3
To find y-intercept:
Let x = 0
y = -3(0) + 1
y = 1
Therefore the x-intercept = 1/3 and y-intercept = 1 for the line that passes through (3, -8) and (-4, 13)
Answer:
Step-by-step explanation:
If we expand 4(3+x), we get (4*3)+(4*x).
Then we do 4*3 to get 12 and 4*x to get 4x
(3+3+3+3) is the same thing as 4*3, because we are adding 3 together 4 times. (3+3+3+3) gives us 12 as well, since they are the same thing.
(x+x+x+x) is the same thing because we are adding x together 4 times, which is the same thing as (4*x). (x+x+x+x) gives us 4x as well.
Hope this helps.
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
1000
