We don’t see nothing or no image
I believe it would be 4 lil man
Answer:
C or A
Step-by-step explanation:
Answer:
Only the 3rd table shows a proportional relation between x and y.
Step-by-step explanation:
The first table is
x 2 3 5 6
y 3 4 7 9
Here y is not increasing in uniform rate with x. So, the relation is not proportional.
The second table is
x 4 6 8 10
y 6 8 10 12
Here y is increasing in uniform rate with x, but at x = 0, y ≠ 0, Hence, the relationship is not proportional.
The third table is
x 1 5 8 10
y 15 75 120 150
Here, y is increasing in uniform rate with x, and at x = 0, y = 0, Hence, the relationship is proportional.
The fourth table shows
x 3 9 10 15
y 1 3 4 5
Here also y is not increasing in uniform rate with x. So, the relation is not proportional.
Therefore, only the 3rd table shows a proportional relation between x and y. (Answer)
Answer:
a) positive direction: t < 2s & t>6s ; negative direction: 2s < t < 6s
b) 7 m
c) 71 m
Step-by-step explanation:
Given:
v(t) = 3t^2 -24t +36 [0 , 7]
Find:
a) The value of time when particle is moving in positive direction:
The change in direction of the particle can be determined by v(t) > 0
Hence,
0 < 3t^2 -24t +36
0 < t^2 - 8t + 12
0 < (t - 2)*(t - 6)
t < 2s , t > 6s
The particle travels in positive direction in the interval t < 2s and t > 6s , While it travels in negative direction when 2s < t < 6s.
b) The displacement ds over the given interval [ 0 , 7 ]
ds = integral (v(t)).dt
ds = t^3 -12t^2 +36t
ds = 7^3 -12*7^2 +36*7
ds = 7 m
c) Total distance traveled in the interval:
Total distance= ds(0-2) + ds(2-6) + ds(6-7)
D = 2*(2^3 -12*2^2 +36*2) - 2*(6^3 -12*6^2 +36*6) + 7
D = 2*32 - 2*0 + 7
D = 71 m
