Answer:
The system has no solution.
Step-by-step explanation:
In order for the system to have a solution, both graphs must have an intercept to each others. We see in the picture that both graphs are parallel and do not have any interceptions which we don't know the solution to the system.
That means if graphs are parallel and have no interceptions, there are no solutions. The system of equations are for finding the interceptions of both graphs. But of course! Parallel lines do not intercept.
If you have any questions, feel free to ask.
To write the given quadratic equation to its vertex form, we first form a perfect square.
x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
x² - 2x = -5
Complete the square in the left side of the equation,
x² - 2x + (-2/1(2))² = -5 + (-2/1(2))²
Performed the operation,
x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
(x - 1)² = -4
Thus, the vertex form of the equation is,
<em> (x-1)² + 4 = 0</em>
Well, you get the volume by multiplying the height, the width, and the length. So just work on it backwards.
2,830.5 divided by (9 times 18.5).
9 times 18.5 is 166.5. So that leaves us with 2,830.5 divided by 166.5, which is 17.
So, the answer is 17.
Answer:
$3820 total, $32 per alumnus.
Step-by-step explanation:
The total cost will be 
Each alumnus pays 
Rounding to nearest whole number = $32 per alumnus.
