4 to 7......add them = 11
4/11 * 33 = 132/11 = 12
7/11 * 33 = 231/11 = 21
Answer:
1:+35
2:-270
3:-12
4+19
5:-15
6:-25
Step-by-step explanation:
Writing the two equations in full and subtracting R(x) from W(x) to arrive at D (x) gives the answer. This is shown below;
W(x) = 0.002x^3 - 0.01x^2 + 0x + 0
R (x) = 0x^3 + x^2 - 4x +13 -
-----------------------------------------------
D(x) = 0.002x^3 -1.01x^2 + 4x - 13
Answer:
a) The maximum height is approx 15.5 unit.
b) The time it will take for Joey to reach the water is 1.45 hour.
Step-by-step explanation:
Given : When Joey dives off a diving board, the equation of his pathway can be modeled by ![h(t)= -16t^2+15t + 12](https://tex.z-dn.net/?f=h%28t%29%3D%20-16t%5E2%2B15t%20%2B%2012)
To find : a) Find Joey's maximum height.
b) Find the time it will take for Joey to reach the water.
Solution :
Modeled
....(1)
a) To find maximum height
Derivate (1) w.r.t. t,
![h'= -32t+15](https://tex.z-dn.net/?f=h%27%3D%20-32t%2B15)
For critical point put h'=0,
![-32t+15=0](https://tex.z-dn.net/?f=-32t%2B15%3D0)
![t=\frac{15}{32}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B15%7D%7B32%7D)
![t=0.46875](https://tex.z-dn.net/?f=t%3D0.46875)
Derivate again w.r.t. t,
![h''= -32](https://tex.z-dn.net/?f=h%27%27%3D%20-32%3C0)
It is maximum at t=0.46875.
Substitute t in equation (1),
![h(0.46875)= -16(0.46875)^2+15(0.46875)+12](https://tex.z-dn.net/?f=h%280.46875%29%3D%20-16%280.46875%29%5E2%2B15%280.46875%29%2B12)
![h(0.46875)= -3.515625+7.03125+12](https://tex.z-dn.net/?f=h%280.46875%29%3D%20-3.515625%2B7.03125%2B12)
![h(0.46875)= 15.515625](https://tex.z-dn.net/?f=h%280.46875%29%3D%2015.515625)
The maximum height is approx 15.5 unit.
b) To find the time it will take for Joey to reach the water.
Put h=0 in equation (1),
Apply quadratic formula, ![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Here, a=-16 , b=15, c=12
Reject negative value.
The time is t=1.45.
The time it will take for Joey to reach the water is 1.45 hour.
Sam has 36 cars in total when you add 14. 17, and 5 together.