Answer:
See explanation
Step-by-step explanation:
Jacob has 75 cookies.
He gave 2 cookies to each student.
Complete the table:
![\begin{array}{cc}\text{Number of student arrived}&\text{Number of cookies left}\\1&75-2=73\\2&73-2=71\\3&71-2=69\\...&...\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7D%5Ctext%7BNumber%20of%20student%20arrived%7D%26%5Ctext%7BNumber%20of%20cookies%20left%7D%5C%5C1%2675-2%3D73%5C%5C2%2673-2%3D71%5C%5C3%2671-2%3D69%5C%5C...%26...%5Cend%7Barray%7D)
Let n be the number of students. After nth student arrived Jacob had left
![g(n)=75-2n](https://tex.z-dn.net/?f=g%28n%29%3D75-2n)
cookies.
This is an arithmetic sequence with
![g_1=g(1)=73\\ \\d=-2](https://tex.z-dn.net/?f=g_1%3Dg%281%29%3D73%5C%5C%20%5C%5Cd%3D-2)
Thus,
![g_{n}=g_{n-1}-2\\ \\g(n)=g(n-1)-2](https://tex.z-dn.net/?f=g_%7Bn%7D%3Dg_%7Bn-1%7D-2%5C%5C%20%5C%5Cg%28n%29%3Dg%28n-1%29-2)
Answer:
![b =2](https://tex.z-dn.net/?f=b%20%3D2)
Step-by-step explanation:
Given
![y = ab^x](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex)
![(x_1,y_1) = (0,-3)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%280%2C-3%29)
Required
Find a and b
Substitute
for x and y in ![y = ab^x](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex)
![-3 = ab^0](https://tex.z-dn.net/?f=-3%20%3D%20ab%5E0)
![-3 = a * 1](https://tex.z-dn.net/?f=-3%20%3D%20a%20%2A%201)
![-3 = a](https://tex.z-dn.net/?f=-3%20%3D%20a)
Rewrite as:
![a =-3](https://tex.z-dn.net/?f=a%20%3D-3)
The above implies that (a) is correct;
Hence:
![b =2](https://tex.z-dn.net/?f=b%20%3D2)
So, the equation is:
![y = -3(2)^x](https://tex.z-dn.net/?f=y%20%3D%20-3%282%29%5Ex)
Answer:
2790
Step-by-step explanation:
38/100 * 4500 = 1710 get less than eight hours of sleep
4500 - 1710 = 2790 students
The answer for this problem is t ≥ - 12