If 12 oranges cost $4.20, what is the unit price?
2 answers:
You might be interested in
Answer:
245 flash drives
Step-by-step explanation:
We can assume that the proportion of broken flash drives in the 200 drive sample is the same as the proportion of broken flash drives in the weekly output. Therefore, if we let be the number of broken flash drives produced that week, we can write the following equation:
Solving for , we get:
(Multiply both sides of the equation by
to isolate
)
flash drives (Multiply)
Hope this helps!
Answer:
- The graph is shown below
- Vertex = (2,1)
- Axis of symmetry is x = 2
- Domain = set of all real numbers
- Range = set of y values such that
=======================================================
Explanation:
Use your favorite graphing tool to graph the equation. If your teacher doesn't allow you to use graphing software, then you'll have to plug in various x values to find the paired y values. This gives the set of (x,y) points needed to be plotted to form the parabola. The more points you plot, the more accurate the curve.
The graph is shown below. I used GeoGebra to make the graph. It's free graphing software. Desmos is another tool that I recommend.
------------
The lowest point on the parabola is the vertex (h,k) = (2,1) which is shown in the graph below.
This is due to the equation being in vertex form y = a(x-h)^2 + k. We see that h = 2 and k = 1.
-------------
The axis of symmetry is the vertical line that passes through the vertex.
As such, the axis of symmetry equation is simply x = h. So that's how we get to x = 2.
In the graph below, the axis of symmetry is the red dashed line.
-------------
There aren't any restrictions on x. We don't have to worry about dividing by zero or applying a square root to a negative number.
Therefore, any x value is allowed and the domain is the set of all real numbers.
-------------
The range however isn't the set of all real numbers. The lowest y can get is y = 1 due to the vertex point. We can have y = 1 or larger
Therefore, is the range.
