Answer:
75% of students are year 7
Step-by-step explanation:
divide 126 by 168 which equals 75% of year 7 pupils
Answer:
13
Step-by-step explanation:
Answer:
a=35x−x^2
Step-by-step explanation:
Having
70 ft of fencing with a
width of x
feet and knowing the perimeter of a rectangle is
p=2w+2l
we can state the length of the garden as:
70=2x+2l
and solving for l
we know the length with be:
2l=70−2x or l=35−x
And then knowing the formula for the area of a rectangle is
a=w⋅l
we can write the equation as:
a=x⋅(35−x)a=35x−x^2
The ball will hit the ground when h(t)=0 so:
16t^2-96t=0
16t(t-6)=0, since t>0
t=6
So the ball with hit the ground after 6 seconds.
Answer:
![t_1\approx2.18](https://tex.z-dn.net/?f=t_1%5Capprox2.18)
![t_2\approx0.57](https://tex.z-dn.net/?f=t_2%5Capprox0.57)
Step-by-step explanation:
![h=7+44t-16t^2](https://tex.z-dn.net/?f=h%3D7%2B44t-16t%5E2)
![27=7+44t-16t^2](https://tex.z-dn.net/?f=27%3D7%2B44t-16t%5E2)
![0=-20+44t-16t^2](https://tex.z-dn.net/?f=0%3D-20%2B44t-16t%5E2)
![0=-16t^2+44t-20](https://tex.z-dn.net/?f=0%3D-16t%5E2%2B44t-20)
![t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![t=\frac{-44\pm\sqrt{44^2-4(-16)(-20)}}{2(-16)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-44%5Cpm%5Csqrt%7B44%5E2-4%28-16%29%28-20%29%7D%7D%7B2%28-16%29%7D)
![t=\frac{-44\pm\sqrt{1936-1280}}{-32}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-44%5Cpm%5Csqrt%7B1936-1280%7D%7D%7B-32%7D)
![t=\frac{-44\pm\sqrt{656}}{-32}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-44%5Cpm%5Csqrt%7B656%7D%7D%7B-32%7D)
![t=\frac{-44\pm4\sqrt{41}}{-32}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-44%5Cpm4%5Csqrt%7B41%7D%7D%7B-32%7D)
![t=\frac{11}{8}\pm\frac{\sqrt{41}}{8}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B11%7D%7B8%7D%5Cpm%5Cfrac%7B%5Csqrt%7B41%7D%7D%7B8%7D)
![t_1\approx2.18](https://tex.z-dn.net/?f=t_1%5Capprox2.18)
![t_2\approx0.57](https://tex.z-dn.net/?f=t_2%5Capprox0.57)