Answer:
OR
Step-by-step explanation:
Vertex form of a parabola is given as:
Where () is the vertex and
are the points on the parabola.
We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).
First of all, putting the vertex in the vertex equation as given above:
Now, putting the values of as 2, 3 and let us find the unknown variable
:
Therefore, the equation in vertex form can be written as:
OR
Answer:
Job A is more profitable for nearly 49 months (or 50 months including the first month)
Job B is more profitable after 49 months (or 50 months including the first month).
Step-by-step explanation:
Let x be the number of months passed after first month
<u>Job A:</u>
$2,000 for the first month with a $300 raise every month thereafter
Function describing this situation:
<u>Job B:</u>
$1,500 for the first month with a 5% raise every month thereafter
Function describing this situation:
Plot both graphs (see attached diagram). The diagram shows that the job A is more profitable for nearly 49 months (or 50 months including the first month) and the job B is more profitable after 49 months (or 50 months including the first month).
Answer:
See below.
Step-by-step explanation:
Create a system of equations to represent this scenario.
1) A graph of these equations is attached below. Lin is in red; Diego is in blue.
2) The time (seconds) is on the x-axis, while the milkshake (oz) is on the y-axis. The graph shows the rate of change that the volume of the milkshake is decreasing for both Lin and Diego. The intersection point tells us at what time t (s) Lin and Diego have the same amount of milkshake left.
There is only one solution to this system of equations: (24, 4). This tells us that at t = 24 s, Lin and Diego both have 4 oz of milkshake left.
The zeros, aka where the graph touches the x-axis, tell us at what time Lin and Diego finish their milkshakes.
Lin finishes her milkshake later than Diego, at t = 36 s (36, 0), while Diego finishes his milkshake at t = 30 s (30, 0).
