Answer:
The y intercept is 0 and 3
Step-by-step explanation:
Answer:
c = -12
Step-by-step explanation:
Quadratic Standard Form: ax² + bx + c
Step 1: Write equation
3x² + 6x = 12
Step 2: Subtract 12 on both sides
3x² + 6x - 12 = 0
Here, we have the standard form of the quadratic. We see that our c = -12
In this question, it is given that
Leanne has a gas card that has $150 on it. She spends $25 a week on gas.
And we have to Write a recursive rule that represents the amount of money she has on her gas card after the first week .
Recursive rule shows the relationship between previous value and the current value .
And here, the recursive rule is

Where a(n-1) is the initial amount which is $150 . And a(n) is the amount after n week .
So for n=1, that is amount in the card after 1 week, we will get

And that's the amount remaining in the card after 1 week .
One possible system is
1x + 3y = 4
2x + 6y = 8
Note how 2 is twice as large as 1, 6 is twice as large as 3, and 8 is twice as large as 4.
In other words, the second equation is the result of multiplying both sides of the first equation by 2.
1x+3y = 4
2*(1x+3y) = 2*4
2x+6y = 8
Effectively the two equations in bold are the same which produces the same line. The two lines overlap perfectly to intersect infinitely many times. An intersection is a solution.
It does match-
The Y-Intercept is 12
And the slope is -3/1
You can confirm this by counting rise over run in the graph
Starting at the Y-Intercept (Y=12) the graph goes down 3 units (-3) over 1 unit (1)
This confirms that the slope is -3/1