Answer: c
Step-by-step explanation:
Answer:
2ITR/KVJFCIUYBDTR67E4VHJN, BHJYUG76T89O;LXCS,DVTI9R0OPE;'
Step-by-step explanation:
Step-by-step explanation:
The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.
for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.
The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.
substituting 36 for x and 10 for y in eq 1;
3(36) + 10 = 108 + 10 = 118 total students for Green High School
substituting 36 for x and 10 for y in eq2;
4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school
To solve this problem you must apply the proccedure shown below:
You must switch the variables, and then, you must solve for
, as following:
![x=-\frac{1}{2} \sqrt{y} +3\\ (x-3)^{2} = (\frac{1}{2}\sqrt{y})^{2} \\ y=4x^{2} -24x+36\\ f^{-1} (x)=4x^{2} -24x+36](https://tex.z-dn.net/?f=%20x%3D-%5Cfrac%7B1%7D%7B2%7D%20%5Csqrt%7By%7D%20%2B3%5C%5C%20%28x-3%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1%7D%7B2%7D%5Csqrt%7By%7D%29%5E%7B2%7D%20%20%20%5C%5C%20y%3D4x%5E%7B2%7D%20-24x%2B36%5C%5C%20f%5E%7B-1%7D%20%20%28x%29%3D4x%5E%7B2%7D%20-24x%2B36%20)
Therefore, as you can see, the answer is: ![f^{-1} (x)= 4x^{2} -24x+36 ](https://tex.z-dn.net/?f=%20f%5E%7B-1%7D%20%28x%29%3D%204x%5E%7B2%7D%20-24x%2B36%0A)
Okay, Do you know how to find the surface area?