Answer:
c=5
Step-by-step explanation:
Simplify both sides of the equation.
4(6c+5)−2(3c−5)=120
(4)(6c)+(4)(5)+(−2)(3c)+(−2)(−5)=120(Distribute)
24c+20+−6c+10=120
(24c+−6c)+(20+10)=120(Combine Like Terms)
18c+30=120
Subtract 30 from both sides.
18c+30−30=120−30
18c=90
Divide both sides by 18.

c=5
hope this helps... :/
Answer:
22
Step-by-step explanation:
So we have the two functions:

And we want to find (fog)(5). This is the same as:

So, find g(5) first:

Multiply and subtract:

So, we can substitute:

Find the value:

Multiply and subtract:

So:

And we're done!
Answer:
its the 3rd 1
Step-by-step explanation:
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The area of the rectangular pen is 
The cost of material used to make one side is 
The cost of material used to make the other sides is 
Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard
So the cost is mathematically represented as

=> 
=> 
Now the area of the fence is mathematically represented as

=> 
=> ![C = 9x + 6[\frac{24}{x} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209x%20%20%2B%20%206%5B%5Cfrac%7B24%7D%7Bx%7D%20%5D)
=> ![C = 9x + [\frac{144}{x} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209x%20%20%2B%20%20%5B%5Cfrac%7B144%7D%7Bx%7D%20%5D)
Now differentiating


At minimum 
So




Now substituting for x in the equation above to obtain minimum cost
![C = 9(5.66) + [\frac{144}{5.66} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209%285.66%29%20%20%2B%20%20%5B%5Cfrac%7B144%7D%7B5.66%7D%20%5D)

K = 5 or k = 3
Hope it helps-,-