Answer:
Step-by-step explanation:
You have a vertex coordinate and 2 points. In order to write the equation for that parabola, you only need the vertex and one point. We will fill in the following work form of the parabola:
, where h and k are from the vertex and x and y are from the point. Filling in:
and
and
and
9 = 9a s0
a = 1.
Now we can write the equation, filling in a, the only unknown we had, which we now know is 1:

Answer:
14x + 7 = 30
Step-by-step explanation:
Given
7y + 6 = 36 and y = 2x + 1
substitute y = 2x + 1 into 7y + 6 = 36 , that is
7(2x + 1) + 6 = 36 ( subtract 6 from both sides )
7(2x + 1) = 30 ← distribute parenthesis on left side by 7
14x + 7 = 30
Answer:
(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12 (multiply the binomials)
(x + 2) (x + 3) = x² + 5x + 6 = 12
(x + 2) (x + 3) = x² + 5x + 6-12 = 0 (add the like term and bring the positive 12 to the other side which makes it negative)
x² + 5x + 6 = 0
Using the snowflake method - (finding the factors of 6 that adds/subtracts to give you 5).
This method will give you the factors (x + 6)(x - 1)
ZERO PROPERTY RULE:
(x + 6) = 0
x = -6
(x - 1) = 0
x = 1
The two solutions to the equation are -6 and 1.