Answer:
16 seconds (Approximately)
Step-by-step explanation:
Given:
The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:
![d=-4x^2+1100](https://tex.z-dn.net/?f=d%3D-4x%5E2%2B1100)
Final position of the snowboarder is ![d=100\ ft](https://tex.z-dn.net/?f=d%3D100%5C%20ft)
Now, plugging in 100 for 'd' and solving for 'x', we get:
![100=-4x^2+1100](https://tex.z-dn.net/?f=100%3D-4x%5E2%2B1100)
Adding -1100 both sides, we get:
![100-1100=-4x^2+1100-1100\\-1000=-4x^2](https://tex.z-dn.net/?f=100-1100%3D-4x%5E2%2B1100-1100%5C%5C-1000%3D-4x%5E2)
Dividing both sides by -4, we get:
![\frac{4x^2}{4}=\frac{1000}{4}\\x^2=250](https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E2%7D%7B4%7D%3D%5Cfrac%7B1000%7D%7B4%7D%5C%5Cx%5E2%3D250)
Taking square root and neglecting the negative root as time can't be negative. So,
![\sqrt{x^2}=\sqrt{250}\\x=5\sqrt{10}=15.8\ s\approx 16\ s](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D%3D%5Csqrt%7B250%7D%5C%5Cx%3D5%5Csqrt%7B10%7D%3D15.8%5C%20s%5Capprox%2016%5C%20s)
Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.
Answer:
B.) the number of tents the army orders
Step-by-step explanation:
The word problem does not speak of any prices or tent sizes so it cant be A or C
Answer:
Area=210
perimeter=66
Step-by-step explanation:
A=a+b(h)/2
P=a+b+c+d
Answer:
15×4=60 and 3 people will be left without a group of 4
We can't see the table but if every input or x has only one specific output or y then it is a function so if every different height has one number of stories then it's a function you can have it though to were say you have 18 feet and 17 feet and they are both 3 stories then it's still a function but if you have 18 feet thats 3 stories and 18 feet thats 4 stories then its not a function