Step-by-step explanation:
2+6x= -10 + 11(x + 4)
2+ 6x = -10 + 11x + 11(4)
2 + 6x = -10 + 11x + 44
2+ 6x = 11x + 34
6x - 11x = 34 - 2
-5x = 32
x= - 32/5
The correct axis of symmetry is x = -1.
Explanation:
Our equation is

.
This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.
In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).
The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
Answer:
17 pounds
Step-by-step explanation:
Median:
Weights of the dogs are:
3 , 8 , 10 , 11 , 14 , 17 , 22 , 24, 25 , 35 , 40
Number of data = 11
So, median will the middle term which is the 6the term.
Median = 17
The initial value of the graph is where
. Thus, in this case, the initial value is 12.
The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:

and
are points on the graph
Let's use two points from the chart to find the slope:

In this case, the rate of change of the graph is 9.