I found the accompanying picture of this word problem.
The circle was inscribe in the triangle. The area outside of the circle but inside the triangle is the shaded area.
True. The shaded area of the following shape can be found by subtracting the area of the circle from the area of the triangle.
All real numbers is the answer
6x² - 5x + -21 = 0
Because this whole equation equals zero, we must simply factorize the first half of the equation, or the left side.
(3x - 7)(2x + 3) = 0
I was never really taught a specific way to factorize, so I usually just guess and check when factorizing. It usually takes a long time, it always gives you the tight answer.
Then, take each equation and make it equal zero.
3x - 7 = 0 AND 2x + 3 = 0
3x - 7 = 0
Add 7 to both sides.
3x = 7
Divide both sides by 3.
x = 7/3
Now, we do our second equation.
2x + 3 = 0
Subtract 3 from both sides.
2x = -3
Divide both sides by 2.
x = -3/2
So, x = 7/3 AND x = -3/2
So, your answer is C) x = 7/3, x = -3/2
~Hope I helped!~
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