Ball hit the ground is when the function equals zero
0=-16t^2+46t+6
we can't factor so use quadraticformula
for
ax^2+bx+c=0
x=
![\frac{-b+/- \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20)
x=
![\frac{-46+/- \sqrt{46^2-4(-16)(6)} }{2(-16)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%20%5Csqrt%7B46%5E2-4%28-16%29%286%29%7D%20%7D%7B2%28-16%29%7D%20)
x=
![\frac{-46+/- \sqrt{2116+384} }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%20%5Csqrt%7B2116%2B384%7D%20%7D%7B-32%7D%20)
x=
![\frac{-46+/- \sqrt{2500} }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%20%5Csqrt%7B2500%7D%20%7D%7B-32%7D%20)
x=
![\frac{-46+/- 50 }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%2050%20%7D%7B-32%7D%20)
x=
![\frac{-46+ 50 }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2050%20%7D%7B-32%7D%20)
or
![\frac{-46- 50 }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46-%2050%20%7D%7B-32%7D%20)
x=
![\frac{4}{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B-32%7D%20)
or x=
![\frac{-96}{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-96%7D%7B-32%7D%20)
x=-1/6 or x=3
we cannot have negative time because time starts at 0
disregard -1/6 as a possible answer
answer is after 3 seconds
Slope would be 2
Y intercept would be 2
y = 2x + 2
Answer:
Step-by-step explanation:
Hello,
![(f-g)(x)=f(x)-g(x)=3x-5-(x^2-5x+4)\\\\=3x-5-x^2+5x-4\\\\=-x^2+8x-9](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29%3D3x-5-%28x%5E2-5x%2B4%29%5C%5C%5C%5C%3D3x-5-x%5E2%2B5x-4%5C%5C%5C%5C%3D-x%5E2%2B8x-9)
Thanks
Answer:
The diagram reprents the 3 sets and the universal set . The shaded portion clearly can be seen as :
![A \cap B \cap C + A - (A \cap B) - (A \cap C) + A \cap B \cap C + C - (C \cap B) - ( C \cap A) + (A \cap B \cap C)](https://tex.z-dn.net/?f=A%20%5Ccap%20B%20%5Ccap%20C%20%2B%20A%20-%20%28A%20%5Ccap%20B%29%20-%20%28A%20%5Ccap%20C%29%20%2B%20A%20%5Ccap%20B%20%5Ccap%20C%20%2B%20C%20-%20%28C%20%5Ccap%20B%29%20-%20%28%20C%20%5Ccap%20A%29%20%2B%20%28A%20%5Ccap%20B%20%5Ccap%20C%29)
Shaded region = ![3(A \cap B \cap C) + A + C - (A \cap B) - 2(A \cap C) - (C \cap B)](https://tex.z-dn.net/?f=3%28A%20%5Ccap%20B%20%5Ccap%20C%29%20%2B%20A%20%2B%20C%20-%20%28A%20%5Ccap%20B%29%20-%202%28A%20%5Ccap%20C%29%20-%20%28C%20%5Ccap%20B%29)
Try to understand some what complex