What are the solutions to the equation 0 = x2 – x-6? Select two options
1 answer:
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reflection and translation.
Given:
The different transformation in the options.
To find:
The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.
Solution:
In option 1,
It represents reflection across the line y=x.
In option 2,
It represents reflection across the x-axis.
In option 3,
It represents dilation by scale factor 4 and the center of dilation is at origin.
In option 4,
It represents translation 2 units right and 5 units down.
We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.
So, the perimeter of the figure and its image are same in the case of reflection and translation.
But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.
Therefore, the correct option is 3.
Answer:
<em>The minimum average cost is $2.80 when 163 players are built</em>
Step-by-step explanation:
<u>Average Cost Function</u>
<em>We'll assume the given function as the total cost to produce x players, and NOT the average cost since that is a different definition, as shown below.</em>
The cost C to produce x DVD/Blu- ray players is given by the equation
The Average Cost function is defined as
To find the extreme value of the average cost, we must take the first derivative of the function
Equating to 0
Solving for x
The second derivative is
For x=163 the second derivative is positive, thus x=163 is a minimum value. Let's compute the minimum average cost
The minimum average cost is $2.80