Answer:
Step-by-step explanation:
x = number of windows being washed
3x + 15 > = 50 (thats greater then or equal to)
3x > = 50 - 15
3x > = 35
x > = 35/3
x > = 11 2/3
so he would have to wash 12 windows to get the minimum amount.....any more window money would go to the additional accessories.
Answer:
Hence, Grasshopper will land on the ground after 1.5 sec.
Step-by-step explanation:
It s given that:
The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function:
![h(t)=-t^2+\dfrac{4}{3}t+\dfrac{1}{4}](https://tex.z-dn.net/?f=h%28t%29%3D-t%5E2%2B%5Cdfrac%7B4%7D%7B3%7Dt%2B%5Cdfrac%7B1%7D%7B4%7D)
Now we are asked to find:
In how many seconds will the grasshopper land on the ground?
i.e. we have to find the value of t such that h(t)=0
i.e.
![-t^2+\dfrac{4}{3}t+\dfrac{1}{4}=0](https://tex.z-dn.net/?f=-t%5E2%2B%5Cdfrac%7B4%7D%7B3%7Dt%2B%5Cdfrac%7B1%7D%7B4%7D%3D0)
i.e. we need to find the roots of the given quadratic equation.
On solving the quadratic equation or plotting it's graph we could observe that the point where h(t)=0 are:
![t=-\dfrac{1}{6},t=\dfrac{3}{2}](https://tex.z-dn.net/?f=t%3D-%5Cdfrac%7B1%7D%7B6%7D%2Ct%3D%5Cdfrac%7B3%7D%7B2%7D)
As time can't be negative hence we will consider:
![t=\dfrac{3}{2}=1.5sec](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B3%7D%7B2%7D%3D1.5sec)
Hence, grasshopper will land on the ground after 1.5 sec.
Answer:
y=41
Step-by-step explanation:
47-6=41
47-41=6
41=y