Answer:
Sedan: 4 passengers
Minivan: 6 passengers
Step-by-step explanation:
We can write the following system of equations:
, where 
represents the number of people a sedan can seat and 
represents the number of people a minivan can seat.
Subtracting the first equation from the second, we have:
Now plug in 
in any of the equations to solve for :
Verify that the solution pair 
works:
Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.
1. The rectangular prism is a right prism with rectangular bases (check the picture)
2. It has 8 vertices, so we are looking for 3d figures with 4 vertices.
3. A face can have at least 3 vertices, and the 4th must be outside of the plane determined by the first 3 vertices. This makes 4 vertices in total.
4. The 3d figure described in step 3 is a pyramid.
Hi there!
We are given the equation:
x² - 2y = 7
To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:
1. (5)² - 2(8) = 7
25 - 16 = 9 ≠ 7. This is NOT correct.
2. (-1)² - 2(-3) = 7
1 + 6 = 7. This is correct.
3. (-4)² - 2(-11.5) = 7
16 + 23 = 39 ≠ 7. This is NOT correct.
4. (1.2)² - 2(-2.78) = 7
1.44 +5.56 = 7. This is correct.
Thus, only 1 and 4 are the correct answers.
