Answer:
Step-by-step explanation:
3.5y - 12 = 1.5y - 3
2y -12 = -3
2y = 9
y = 4.5
the answer is a. one solution
Answer: putting arms in front when falling to catch self.
Stretching arm out to protect passenger when breaking suddenly
Step-by-step explanation:
1. The function
![h(t)=-16t^{2}+48t](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E%7B2%7D%2B48t)
is a parabola of the form
![ax^{2}+bx](https://tex.z-dn.net/?f=ax%5E%7B2%7D%2Bbx)
. The the formula for the axis of symmetry of a parabola is
![x= \frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-b%7D%7B2a%7D%20)
. We can infer from our function that
![a=-16](https://tex.z-dn.net/?f=a%3D-16)
and
![b=48](https://tex.z-dn.net/?f=b%3D48)
, so lets replace those values in our formula:
![x= \frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-b%7D%7B2a%7D%20)
![x= \frac{-48}{-2(16)}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-48%7D%7B-2%2816%29%7D%20)
![x= \frac{-48}{-32}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-48%7D%7B-32%7D%20)
![x= \frac{3}{2}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B3%7D%7B2%7D%20)
![x=1.5](https://tex.z-dn.net/?f=x%3D1.5)
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
![0=-16t^{2}+48t](https://tex.z-dn.net/?f=0%3D-16t%5E%7B2%7D%2B48t)
![-16t(t-3)=0](https://tex.z-dn.net/?f=-16t%28t-3%29%3D0)
![t=0](https://tex.z-dn.net/?f=t%3D0)
or
![t-3=0](https://tex.z-dn.net/?f=t-3%3D0)
![t=0](https://tex.z-dn.net/?f=t%3D0)
or
![t=3](https://tex.z-dn.net/?f=t%3D3)
From our previous point we know that the ball reaches its maximum time at
![t=1.5](https://tex.z-dn.net/?f=t%3D1.5)
, which means that <span>
it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>
Hello!
You find the area of a rectangle by the equation A = lw
A is area
l is length
w is width
Put in the values you know
180 = 3x * 6
Now you solve it algebraically
Divide both sides by 6
30 = 3x
Divide both sides by 3
10 = x
The answer is 10in
Hope this helps!
Answer:
On average, Tonya makes $312 more than Emily on a typical day.
Step-by-step explanation:
I was just studying that question a few hours ago