Answer:
in my opinion you should wear black velvet skinny jeans with oversized rose top and lightly curled hair
Step-by-step explanation:
that is in my opinion
Answer:
t=0.93 seconds or t=0.07 seconds
Step-by-step explanation:
If ![h=-16t^2+8t-1](https://tex.z-dn.net/?f=h%3D-16t%5E2%2B8t-1)
The time when the projectile lands on the ground is when its height, h=0.
![-16t^2+8t-1=0](https://tex.z-dn.net/?f=-16t%5E2%2B8t-1%3D0)
Using Factoring by Perfect Squares
![-16t^2+8t=1\\\text{Divide all through by the coefficient of t^2}\\\frac{-16t^2}{-16} +\frac{8t}{-16}=\frac{1}{-16}\\t^2-\frac{1}{2}t=-\frac{1}{16}](https://tex.z-dn.net/?f=-16t%5E2%2B8t%3D1%5C%5C%5Ctext%7BDivide%20all%20through%20by%20the%20coefficient%20of%20t%5E2%7D%5C%5C%5Cfrac%7B-16t%5E2%7D%7B-16%7D%20%2B%5Cfrac%7B8t%7D%7B-16%7D%3D%5Cfrac%7B1%7D%7B-16%7D%5C%5Ct%5E2-%5Cfrac%7B1%7D%7B2%7Dt%3D-%5Cfrac%7B1%7D%7B16%7D)
Divide all through by the coefficient of ![t^2](https://tex.z-dn.net/?f=t%5E2)
![\frac{-16t^2}{-16} +\frac{8t}{-16}=\frac{1}{-16}\\t^2-\frac{1}{2}t=-\frac{1}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B-16t%5E2%7D%7B-16%7D%20%2B%5Cfrac%7B8t%7D%7B-16%7D%3D%5Cfrac%7B1%7D%7B-16%7D%5C%5Ct%5E2-%5Cfrac%7B1%7D%7B2%7Dt%3D-%5Cfrac%7B1%7D%7B16%7D)
Next, divide the coefficient of t by 2, square it and add it to both sides.
![t^2-\frac{1}{2}t+(-\frac{1}{2})^2=-\frac{1}{16}+(-\frac{1}{2})^2\\(t-\frac{1}{2})^2=-\frac{1}{16}+\frac{1}{4}\\(t-\frac{1}{2})^2=\frac{3}{16}\\](https://tex.z-dn.net/?f=t%5E2-%5Cfrac%7B1%7D%7B2%7Dt%2B%28-%5Cfrac%7B1%7D%7B2%7D%29%5E2%3D-%5Cfrac%7B1%7D%7B16%7D%2B%28-%5Cfrac%7B1%7D%7B2%7D%29%5E2%5C%5C%28t-%5Cfrac%7B1%7D%7B2%7D%29%5E2%3D-%5Cfrac%7B1%7D%7B16%7D%2B%5Cfrac%7B1%7D%7B4%7D%5C%5C%28t-%5Cfrac%7B1%7D%7B2%7D%29%5E2%3D%5Cfrac%7B3%7D%7B16%7D%5C%5C)
Taking square roots of both sides
![t-\frac{1}{2}=\sqrt{\frac{3}{16}}\\t=\frac{1}{2} \pm \sqrt{\frac{3}{16}}\\t=\frac{1}{2} \pm \frac{\sqrt{3}}{4}](https://tex.z-dn.net/?f=t-%5Cfrac%7B1%7D%7B2%7D%3D%5Csqrt%7B%5Cfrac%7B3%7D%7B16%7D%7D%5C%5Ct%3D%5Cfrac%7B1%7D%7B2%7D%20%5Cpm%20%5Csqrt%7B%5Cfrac%7B3%7D%7B16%7D%7D%5C%5Ct%3D%5Cfrac%7B1%7D%7B2%7D%20%5Cpm%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B4%7D)
Therefore:
![t=\frac{1}{2} + \frac{\sqrt{3}}{4} \: OR \: t=\frac{1}{2} - \frac{\sqrt{3}}{4}\\t=\frac{2+\sqrt{3}}{4} \: OR \: \frac{2-\sqrt{3}}{4}\\t=0.93seconds \: OR \: 0.07 seconds](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B4%7D%20%5C%3A%20OR%20%5C%3A%20t%3D%5Cfrac%7B1%7D%7B2%7D%20-%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B4%7D%5C%5Ct%3D%5Cfrac%7B2%2B%5Csqrt%7B3%7D%7D%7B4%7D%20%5C%3A%20OR%20%5C%3A%20%5Cfrac%7B2-%5Csqrt%7B3%7D%7D%7B4%7D%5C%5Ct%3D0.93seconds%20%5C%3A%20OR%20%5C%3A%200.07%20seconds)
Answer:
The answer is A.
Step-by-step explanation:
You can make a test by substituing x-coordinate into the equation :
![y = \frac{1}{2} x - 2](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%202)
![let \: x = 0](https://tex.z-dn.net/?f=let%20%5C%3A%20x%20%3D%200)
![y = \frac{1}{2} (0) - 2](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%280%29%20-%202)
![y = - 2 \: (correct)](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%20%5C%3A%20%28correct%29)
![let \: x = 2](https://tex.z-dn.net/?f=let%20%5C%3A%20x%20%3D%202)
![y = \frac{1}{2} (2) - 2](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%282%29%20-%202)
![y = 1 - 2](https://tex.z-dn.net/?f=y%20%3D%201%20-%202)
![y = - 1 \: (correct)](https://tex.z-dn.net/?f=y%20%3D%20%20-%201%20%5C%3A%20%28correct%29)
Answer:
109.6%
Step-by-step explanation:
<u>Last year:</u>
Company A stock + Company B stock = total amount of stock:
$3160 + $5800 = $8960
<u>This year:</u>
Company A stock: $3160 + ($3160*0.20) = $3792
Company B stock: $5800 + (5800*0.04) = $6032
Company A stock + Company B stock = total amount of stock:
$3792 + $6032 = $9824
<u>Total amount of increase from last year:</u>
(9824/8960)*100 = 109.6 percent
Answer:
d I think please be right