Step-by-step explanation:
If you want the "root" of the equation...
First get y by itself on one side. You should get y = - x - 8.
Notice that this is the equation of a straight line.
Then let y = 0, and solve for x. You should get x = -8.
So the solution or "root" of the equation is at the point (-8,0)
Answer:
6.00
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is: D) 6.2 seconds
<h2>
Why?</h2>
When the egg hit the ground, the height will be equal to 0, so, from the given equation we need to find the roots or zeroes.
It's a quadratic function, we can find the roots using the quadratic equation:
![\frac{-b+-\sqrt{b^{2}-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%2B-%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%7B2a%7D)
So, from the given function we know that:
![a=-16\\b=60\\c=240](https://tex.z-dn.net/?f=a%3D-16%5C%5Cb%3D60%5C%5Cc%3D240)
So, substituting we have:
![\frac{-60+-\sqrt{60^{2}-4*(-16)*240}}{2*(-16)}=\frac{-60+-\sqrt{3600+15360}}{-32}\\\\\frac{-60+-\sqrt{18960}}{-32}=\frac{-60+-(137.69)}{-32}](https://tex.z-dn.net/?f=%5Cfrac%7B-60%2B-%5Csqrt%7B60%5E%7B2%7D-4%2A%28-16%29%2A240%7D%7D%7B2%2A%28-16%29%7D%3D%5Cfrac%7B-60%2B-%5Csqrt%7B3600%2B15360%7D%7D%7B-32%7D%5C%5C%5C%5C%5Cfrac%7B-60%2B-%5Csqrt%7B18960%7D%7D%7B-32%7D%3D%5Cfrac%7B-60%2B-%28137.69%29%7D%7B-32%7D)
![x1=\frac{-60-137.69}{-32}=6.18](https://tex.z-dn.net/?f=x1%3D%5Cfrac%7B-60-137.69%7D%7B-32%7D%3D6.18)
![x2=\frac{-60+137.69}{-32}=-2.42](https://tex.z-dn.net/?f=x2%3D%5Cfrac%7B-60%2B137.69%7D%7B-32%7D%3D-2.42)
So, since the time can not be a negative value, the correct option is:
6.18≈6.2 seconds
Hence, it takes 6.2 seconds to the egg to hit the ground.
Have a nice day!
$18 on Backpack $7 on binder. if you turn the percent into a decimal .72 and multiply .72 by 25 you get 18 which is the cost of the backpack. subtract 18 from 25 and you get $7 left meaning the binder was $7