3x(2) + 2(2x - 20) = 16 - 2x(2)
6x + 4x - 40 = 16 - 4x
10x - 40 = 16 - 4x
14x - 40 = 16
14x = 56
x = 4
Hope this helps! ;)
Answer:
40
a triangle has 180 degrees
we are given
![g(x)=(0.5)^x+4](https://tex.z-dn.net/?f=%20g%28x%29%3D%280.5%29%5Ex%2B4%20)
we can see that
there is no value of x for which g(x) is not defined
so, no vertical asymptote exists
now, we will find horizontal asymptote
![\lim_{x \to \infty} g(x)= \lim_{x \to \infty}((0.5)^x+4 )](https://tex.z-dn.net/?f=%20%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20g%28x%29%3D%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%28%280.5%29%5Ex%2B4%20%29%20)
![\lim_{x \to \infty} g(x)= (\lim_{x \to \infty} (0.5)^x+\lim_{x \to \infty} 4 )](https://tex.z-dn.net/?f=%20%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20g%28x%29%3D%20%28%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%280.5%29%5Ex%2B%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%204%20%29%20)
![\lim_{x \to \infty} g(x)= 0+4](https://tex.z-dn.net/?f=%20%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20g%28x%29%3D%200%2B4%20)
so, we get
horizontal asymptote as
............Answer
Answer/Step-by-step explanation:
Part A:
![Key:\left[1 Adult = 4 Student]](https://tex.z-dn.net/?f=Key%3A%5Cleft%5B1%20Adult%20%3D%204%20Student%5D)
![4](https://tex.z-dn.net/?f=4)
<u> 12 Student = 3 Adult</u>
<u>24 Student = 6 Adult</u>
<u>40 Student = 10 Adult</u>
Part B:
33 Student
Hence, divide 33 by 4 = 8 with a remainder of 1.
Therefore, 8 Adult and for the remainder 1 student either one Adult takes 5 Student or Needed 9 Adult.