Step-by-step explanation:
5. 6x-8=9x+4
6x - 9x = 4+8
-3x = 12
x = -4
check, 6(-4) - 8=9(-4) + 4
-24-8 = -36+4
-32 = -32
6. 5a - 10 = 9a - 6
5a-9a = -6+10
-4a = 4
a = -1
check, 5(-1) -10 = 9(-1) -6
-5-10 = -9-6
-15 = -15
7. 8m-24 = 9-3m
8m + 3m = 9+24
11m = 33
m = 3
check, 8(3)-24 = 9- 3(3)
24-24 = 9-9
0 = 0
8. 10- 3z = z + 30
10-30 = z +3z
-20=4z
-5 = z
check, 10 - 3(-5) = (-5)+30
10+15 = 25
25=25
9. 3k - 14 = 10 +5k
3k - 5k = 10+14
-2k = 24
k = -12
check, 3(-12)-14 = 10+5(-12)
-36-14 = 10-60
-50 = -50
10. 6c + 8 = 2c -16
6c - 2c = -16-8
4c = -24
c = -6
check, 6(-6)+8 = 2(-6) - 16
-36 + 8 = -12 - 16
-28 = -28
Dy/dx h = 32t - 16t^2
v = 32 - 32t
at Max hight speed is 0m/s
therefore
0 = 32 - 32t
t = 32/32 = 1 s
so it goes up to Max hieght in 1 s
and it takes another 1s to come back
thus time after launch to return to ground is 2s!
Answer:
Option 1) is correct
Step-by-step explanation:
Given: The graph shows the distance in miles, m, hiked from a camp in h hours.
To find: hourly interval that had the greatest rate of change
Solution:
Rate of change between two points refers to the vertical change divided by the horizontal change.
For hour 0 to hour 1:
rate of change = 
For hour 2 to hour 3:
rate of change = 
For hour 1 to hour 2:
rate of change = 
For hour 3 to hour 4:
rate of change = 
So, rate of change is greatest in interval: hour 0 to hour 1
