Answer:
![y(x)=6+9x](https://tex.z-dn.net/?f=y%28x%29%3D6%2B9x)
Step-by-step explanation:
Given differential equation, ![y''=0](https://tex.z-dn.net/?f=y%27%27%3D0)
Characteristic equation is given by ![m^2=0](https://tex.z-dn.net/?f=m%5E2%3D0)
.
Differential equation have repeated roots and solution of differential equation is
.............................(1)
Initial conditions are ![y(0)=6,y'(0)=9](https://tex.z-dn.net/?f=y%280%29%3D6%2Cy%27%280%29%3D9)
Plugging first condition in equation (1),
![6=C_1+C_2(0)](https://tex.z-dn.net/?f=6%3DC_1%2BC_2%280%29)
![C_1=6](https://tex.z-dn.net/?f=C_1%3D6)
Equation (1) becomes
............................(2)
differentiate equation (2) with respect to 'x',
![y'(x)=C_2](https://tex.z-dn.net/?f=y%27%28x%29%3DC_2)
Plugging second condition,
![C_2=9](https://tex.z-dn.net/?f=C_2%3D9)
Hence, ![y(x)=6+9x](https://tex.z-dn.net/?f=y%28x%29%3D6%2B9x)
Greetings!
"<span>What is the general process for solving an equation with one variable?"...
Typically when solving an equation with one variable, your objective is to
isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
Example:</span>
![2x+4=64](https://tex.z-dn.net/?f=2x%2B4%3D64)
<span>Add
-4 to both sides to isolate the variable.
</span>
![(2x+4)+(-4)=(64)+(-4)](https://tex.z-dn.net/?f=%282x%2B4%29%2B%28-4%29%3D%2864%29%2B%28-4%29)
<span>
Simplify.
</span>
![2x=60](https://tex.z-dn.net/?f=2x%3D60)
Divide both sides by
2 to isolate the variable on one side.
![(2x)/2=(60)/2](https://tex.z-dn.net/?f=%282x%29%2F2%3D%2860%29%2F2)
![x=30](https://tex.z-dn.net/?f=x%3D30)
Hope this helps.
-Benjamin
Assuming that the apples are not tossed back into the bag after drawing them.
Total of 9 apples.
1st draw yell, 4/9
2nd draw yell, 3/8
3rd draw red, 5/7
4th draw red, 4/6
![\frac{4}{9} * \frac{3}{8} * \frac{5}{7} * \frac{4}{6} = \frac{240}{3024} \\ \\ = \frac{5}{63}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B9%7D%20%2A%20%20%5Cfrac%7B3%7D%7B8%7D%20%2A%20%20%5Cfrac%7B5%7D%7B7%7D%20%2A%20%20%5Cfrac%7B4%7D%7B6%7D%20%3D%20%20%5Cfrac%7B240%7D%7B3024%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%5Cfrac%7B5%7D%7B63%7D%20)
Answer:
repeat
Step-by-step explanation:
3 divided by 9is 0.333333333333333333333333333333
To do this, you have to know the original perimeter of this park (490 yds) and the area (14,500 yds squared)
A park with the same perimeter (490 yds) but smaller area (9,750 yds squared) is 195ydsx50yds