Answer:

Step-by-step explanation:
Average cost = total cost/number of items = (35k² + 29k + 6)/(5k + 2)
Perhaps the best way to solve this problem is to use long division.
<u> 7k + 3 </u>
5k + 2)35k² + 29k + 6
<u>35k² + 14k</u>
15k + 6
<u>15k + 6</u>
0
Thus,

The average cost per item is
.
Answer:
(a) D(t)= -4.9 t^2 + vt
(b) 10 sec
(c) 122.5m
(d) At t= 4sec, v= 9.8m/s (upwards) and at t= 9sec, v= 39.2m/s (downwards)
(e) -24.5m
(f) -49m/s (i.e. downwards)
(g) 0
Step-by-step explanation:
(b) Time in the air = 2v/g = 10sec
(c) Maximum height =
=122.5m
(d) Velocity at any time t = v -9.8t
So, at t= 4sec, velocity = 49 – 9.8(4) =9.8m/s
at t= 9sec, velocity = 49 – 9.8(9) = -39.2m/s
(e) Average velocity =
= -24.5m
(g) the stone is thrown vertically upwards, so no horizontal distance covered.
Answer:
Step-by-step explanation:
- 3x-2y =7
- x+2y= -3
- 4x=4
- x=4/4
- x=1
- 3x-2y=7
- 3(1)-2y=7
- 3-2y=7
- -2y=7-3
- -2y=4
- 2y=-4
- y=-4/2
- y= -2
- Verify solution
- x+2y= -3
- 1+2y= -3
- 2y=-3-1
- 2y= -4
- y= -4/2
- y= -2
Answer:
The derivative of the position function gives the velocity function
2 t^3 + 5 t -2 derivative = 6 t^2 + 5
Answer:
$40
Step-by-step explanation:
This isn't the proper way to do this but
5×20=100 so you multiply the $2 by 20