Answer: 39
Step-by-step explanation:
180-(39+102)
180-141
39
For the given parabola, the axis of symmetry is x = 2.
<h3>
How to get the axis of symmetry?</h3>
For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.
For a regular parabola, we define the axis of symmetry as:
x = h
Where h is the x-component of the vertex.
Remember that for the general parabola:
y = a*x^2 + b*x + c
The x-value of the vertex is:
h = -b/(2a)
Then for the function:
f(x)=−2x²+8x−2
We get:
h = -8/(2*-2) = 2
Then the axis of symmetry is x = 2.
If you want to learn more about parabolas, you can read:
brainly.com/question/1480401
Hello!
<h2>Answer: </h2>
Slope = 0.004
Vertical Intercept = 29.
<h2>Explanation:</h2>
Basically, you can rearrange this equation so that is in the form of y = mx + b.
y = mx + b
C(n) = 0.04n + 29
The slope represents the rate of change of the cost per minute talked, and the 29 (vertical intercept) represents the monthly fee. The monthly fee will stay the same, however, the number of minutes talked is susceptible to change, hence the variable <em>n </em>represents it.
Answer:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
Step-by-step explanation:
The amount of profit <em>y</em> made by the company from selling each widget at <em>x</em> price is modeled by the equation:
Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the <em>x-</em>coordinate of the vertex. This is given by the formula:
In this case, <em>a</em> = -1, <em>b</em> = 72, and <em>c</em> = -458. Substitute and evaluate:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
