Answer:
3/1 I am not absolutely sure though...
Answer:
y=11
Step-by-step explanation:
1.) isolate the variable and coeffient by subtracting 10 from both sides to get 22=2y
2.) do the inverse operations to get y by itself so 22 divided by 2 which equals 11
3.) y=11
Answer:
Step-by-step explanation:
Use the change-of-base rule.
Answer:
10 ft x 10 ft
Area = 100 ft^2
Step-by-step explanation:
Let 'S' be the length of the southern boundary fence and 'W' the length of the eastern and western sides of the fence.
The total area is given by:
![A=S*W](https://tex.z-dn.net/?f=A%3DS%2AW)
The cost function is given by:
![\$ 120 = \$3*2W+\$6*S\\20 = W+S\\W = 20-S](https://tex.z-dn.net/?f=%5C%24%20120%20%3D%20%5C%243%2A2W%2B%5C%246%2AS%5C%5C20%20%3D%20W%2BS%5C%5CW%20%3D%2020-S)
Replacing that relationship into the Area function and finding its derivate, we can find the value of 'S' for which the area is maximized when the derivate equals zero:
![A=S*(20-S)\\A=20S-S^2\\\frac{dA}{dS} = \frac{d(20S-S^2)}{dS}\\0= 20-2S\\S=10](https://tex.z-dn.net/?f=A%3DS%2A%2820-S%29%5C%5CA%3D20S-S%5E2%5C%5C%5Cfrac%7BdA%7D%7BdS%7D%20%3D%20%5Cfrac%7Bd%2820S-S%5E2%29%7D%7BdS%7D%5C%5C0%3D%2020-2S%5C%5CS%3D10)
If S=10 then W =20 -10 = 10
Therefore, the largest area enclosed by the fence is:
![A=S*W\\A=10*10 = 100\ ft^2](https://tex.z-dn.net/?f=A%3DS%2AW%5C%5CA%3D10%2A10%20%3D%20100%5C%20ft%5E2)