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
Answer:
Step-by-step explanation:
1) y = 50x + 2500
2) y = 200x + 1000
if we build a system with the two equations, we have:
50x+2500 = 200x + 1000
150x = 1500
x = 10
y = 2000 + 1000 = 3000
3) 10
4) $3000
Answer:
p = 2 or p = -2 4/9
Step-by-step explanation:
We can substitute x=3/2 into the equation and solve for the values of p that make the result be zero.
p^2(3/2)^2 -12(3/2) +p +7 = 0
9/4p^2 -18 + p + 7 = 0 . . . . eliminate parentheses
9p^2 +4p -44 = 0 . . . . . . simplify and multiply by 4
(9p +22)(p -2) = 0 . . . . . factor
Values of p that make 3/2 be one of the zeros are ...
p = -22/9, p = 2
_____
<em>Additional comment</em>
The <em>zero product rule</em> tells you a product will be zero if and only if a factor is zero. Hence the solutions to the quadratic are values of p that make the factors zero.
9p +22 = 0 ⇒ 9p = -22 ⇒ p = -22/9
p -2 = 0 ⇒ p = 2
__
For p=2, the solution 3/2 has multiplicity 2. For p=-22/9, the other zero is x=123/242.
Answer:
no this is for actual question for students not for memes bro
Answer:
2)x=-2π/3
Step-by-step explanation:
The following options are missing:
<em>1)x=-4π/3
</em>
<em>2)x=-2π/3
</em>
<em>3)x=3π/4
</em>
<em>4)x=3π/2</em>
<em />
The trigonometric function tan(x) has asymptotes at x = π/2 radian and x = -π/2 radian. Therefore, tan(3/4x) would have asymptotes at:
3/4x = π/2
x = π/2*4/3
x = 2π/3
or
3/4x = -π/2
x = -π/2*4/3
x = -2π/3
