A. The lines do not intersect, so there are no solutions.
This is true, if the line's never intersect and don't have a common/same point, there are no solutions.
B. The lines intersect at one point, so the system has one solution.
This is true because they have 1 same point so they have 1 solution
C. The lines intersect in two different points, so the system has two solutions.
This is not possible, straight lines can only intersect 1 time. If the lines are curved, then they can intersect more than once
D. The graphs of the two equations are the same line, so there are infinitely many solutions.
This is true because they will <u>always</u> have the same points, so they will have an infinite number of solutions
After one of them is chosen for 1st, there are only 9 choices for 2nd, and then there are only 8 choices for 3rd... and so on. There are 720 different ways to pick 1st, 2nd, and 3rd place from among 10 original students
That would be 24 because if you 8 × 12= 96
96÷4 = 24
Answer:
10, 11, 12
Step-by-step explanation:
Hi there!
Let <em>x</em> be equal to the smallest integer.
Let <em>x</em>+1 and <em>x</em>+2 be equal to the consecutive integers.
We're given that:
⇒ smallest integer + 2 × middle integer = 20 + largest integer
Construct an equation:

Combine like terms:

Therefore, the smallest integer is 10.
This makes the consecutive integers 11 and 12.
I hope this helps!
Answer:
Step-by-step explanation:
I wonder if it is the minus that is causing the problem?
Let x = - 5
3*(-5) - 9
-15 - 9
This is a money question. If you are 15 dollars in debt and you spend another 9, where are you? (In the company of the American government. They do this all the time).
- 15 - 9 = - 24