Answer:
So as we can see the vertex is useful in order to find maximum and minimum values. In physics is important because allow to calculate highest or minimum point on vertical motion for example. And on business is associated with minimum and maximum costs associated to a profit or revenue functions.
Step-by-step explanation:
The vertex is a property when we have quadratic equations. The general equation for the quadratic polynomial is given by:
In order to find the vertx we can begin finding the x coordinate with the following formula:
And after have the x corrdinate we can find the y coordinate like this:
And the coordinate pair represent the vertex on this case:
If a>0 the parabola open upwards and on this case the vertex would represent a minimum
In the other case when a<0 the parabola open downwards and on this case the vertex would represent a maximum
So as we can see the vertex is useful in order to find maximum and minimum values. In physics is important because allow to calculate highest or minimum point on vertical motion for example. And on business is associated with minimum and maximum costs associated to a profit or revenue functions.
The rate of change which is also the ratio of the rise to the run value of a graph.
- Rate of change = 7.5
- Steeper slope if rate of change = $10
- Steeper slope if amount owed = $40
Rate of change :
Rise / Run
From the graph :
y2 = - 60 ; y1 = 0 ; x2 = 0 ; x1 = 8
Rise = y2 - y1 = (-60 - 0) = - 60
Run = x2 - x1 = (0 - 8) = - 8
Rate of change = - 60 ÷ - 8 = 7.5
Hence, Devon's debt changes by 7.5 with respect to x
B.).
If Devon paid $10 every week instead of $7.5
- He would be able to pay his debt more quickly
- Hence, leading to a steeper slope on the graph
C.)
If Devon only had owed $40
- Debt will be lesser, meaning that repayment time will be lower
- At the same number of weeks, the graph will have a steeper slope.
Therefore, rate of change gives information about the slope of a graph, higher rate of change values results in steeper slopes.
Learn more : brainly.com/question/18904995
Answer:
48
Step-by-step explanation:
V=1
/4h(^radical)-a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4