Step-by-step explanation:
the equation of circle is given by
Answer:
all real numbers greater than or equal to -1
Step-by-step explanation:
In order to solve this problem we need to know the vertex and the direction its pointing.
First we expand,
x^2-6x+8
To find the x value of the vertex we use this formula (-b/2a).
-(-6)/2(1) = 3
Now we plug 3 in the equation to get the y value,
(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1
The vertex is (3,-1)
We know the graph points up because x^2 is positive
The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.
This leads to our answer all real numbers greater than or equal to -1.
If
is left, that means
was spent. So
of the total amount is equal to 39.. Let's say x to the total amount.
Answer:
ΔABC was translated right 4 units and down 4 units.
Step-by-step explanation:
A' - A = (3, -2) -(-1, 2) = (3+1, -2-2) = (4, -4)
So, the transformation is (x, y) ⇒ (x +4, y -4).
Adding these values to a coordinate pair causes it to be translated to the right 4 units (x is increased by 4) and down 4 units (y is decreased by 4).
Answer:
x=-1
Step-by-step explanation:
-7 < 3(x) + 5 ≤ 7
-7 < 3(-1) + 5 ≤ 7
-7 < -3 + 5 ≤ 7
-7 < 2 ≤ 7
