Answer:
It would be 20
Step-by-step explanation:
because 5x+20 = 5x + <u> </u>
it would have to be 20
to have 1 solution
Answer:
See below.
Step-by-step explanation:
a.
Divide the leading terms:
6x^4 / 2x^2 = 3x^2
3x2 is a parabola so the long run is
as x ---> +/- infinity r(x) ----> + infinity. (answer).
b.
10,000x^3 / 50 x^3
= 200.
So r(x) as a horizontal asymptote at y ( r(x)) = 200. (answer).
Answer: 2*200-321+67=56-65? look at the picture
Step-by-step explanation: Hope this help :D
Answer:
AC=42
EB=21
BC=26
thats all i know, sorry hope u figure it out
Step-by-step explanation:
Answer:
The value is ![y = \$ 225](https://tex.z-dn.net/?f=y%20%20%3D%20%20%5C%24%20225)
Step-by-step explanation:
From the question we are told that
The amount charge per year is ![k = \$ 200](https://tex.z-dn.net/?f=k%20%20%3D%20%20%5C%24%20200)
The number of members it will have at this amount is ![n = 50](https://tex.z-dn.net/?f=n%20%20%3D%20%2050)
The amount amount increase that will lead to the loss of a single member is ![z = \$ 5](https://tex.z-dn.net/?f=z%20%3D%20%20%5C%24%205)
Generally the total amount the club would obtain from its members is mathematically represented as
![I = Amount \ due\ paid * Number \ of members](https://tex.z-dn.net/?f=I%20%20%3D%20%20Amount%20%5C%20%20due%5C%20paid%20%2A%20%20Number%20%5C%20%20of%20members)
Now let x denote the number of member lost
Hence
![I = (k + zx) (n-x )](https://tex.z-dn.net/?f=I%20%20%3D%20%20%28k%20%2B%20zx%29%20%28n-x%20%29)
=> ![I = (200 + 5x) (50-x )](https://tex.z-dn.net/?f=I%20%20%3D%20%20%28200%20%2B%205x%29%20%2850-x%20%29)
=> ![I = 10000+50x-5x^2](https://tex.z-dn.net/?f=I%20%20%3D%2010000%2B50x-5x%5E2)
Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero
![\frac{dI}{dx} = 50-10x](https://tex.z-dn.net/?f=%5Cfrac%7BdI%7D%7Bdx%7D%20%20%3D%20%2050-10x)
=> ![x = 5](https://tex.z-dn.net/?f=%20x%20%20%20%3D%20%205)
So from
we have
![I = (200 + 5 (5)) (50-5 )](https://tex.z-dn.net/?f=I%20%20%3D%20%20%28200%20%2B%205%20%285%29%29%20%2850-5%20%29)
![I = \$ 10125](https://tex.z-dn.net/?f=I%20%20%3D%20%5C%24%2010125%20)
So the amount the club should charge is
![y = \frac{10125}{50 - 5}](https://tex.z-dn.net/?f=y%20%20%3D%20%20%5Cfrac%7B10125%7D%7B50%20-%205%7D)
![y = \$ 225](https://tex.z-dn.net/?f=y%20%20%3D%20%20%5C%24%20225)