Evaluate the expression when x = -2 and y = 3.
2 answers:
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Answer:
with the video game cost of x = $6
This agrees with the last option in the list of possible answers
Step-by-step explanation:
Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:
is given by:
In our case, the quadratic expression that generates the parabola is:
then the x-position of its vertex is:
This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:
This value is the highest weekly profit (y = $246).
Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position :
Therefore the answer is:
with the video game cost of x = $6
<span>- - Star to simplify both sides of the equation.
</span>
<span>- - Now you have top subtract 18 from both sides.
</span>
- - Solve:
<span>- - And divide both sides by -4.
- - Solve:
</span>
</span>
<span>- - Now you have top subtract 18 from both sides.
</span>
- - Solve:
<span>- - And divide both sides by -4.
- - Solve:
</span>