Answer:
(2,2)=x1,y1
(4,b)=x,y
(6,10)=x2,y2
using midpoint formula,
y=(y1+y2)/2
y=(2+10+)/2
y=6
which makes (4,b)=(4,6)
again,
(4,6)=x1,y1
(6,10)=x2,y2
(a,8)=x,y
using midpoint formulax=(x1+x2)/2
x=(4+6)/2
x=5
which makes (a,8)=(5,8)
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
f (x ) = 2 x + 5
For g (x) we will solve the system:
- 1 =-2 m + b
+
-9 = 2 m + b
----------------------
-10 = 2 b, b = -5
-9 = 2 m - 5
2 m = -4
m = -2
g ( x ) = - 2 x - 5
For h (X):
m = (-1-5 ) / ( 3-0 ) = -6/3 = -2
5 = 0 + b, b = 5
h ( x) = - 2 x + 5.
Now we have 4 linear functions:
1 ) f ( x ) = 2 x + 5
The slope is m = 2, y - intercept: y = 5 , zero: x = -2.5 and the function increases ( m > 0 ).
2 ) g(x) = - 2 x - 5
The slope is m = - 2, y-intercept: y =-5 , zero: x = -2.5 and the function decreases ( m < 0 ).
3 ) h ( x ) = - 2 x + 5
The slope is m = - 2, y - intercept . y = 5, zero: x = 2.5 and the function decreases.
4 ) j (x) = 2 x + 5
The slope is m = 2, y -intercept: y = 5, zero: x = -2.5 and the function decreases.
The functions f( x ) and j ( x ) are parallel and also g( x ) and h ( x ). They have the same slope.
The functions f ( x ) and j (x ) are increasing and h ( x ) and h ( x ) are decreasing.
It is just 4 x 4 for each and everyside
Answer:
messages me i will explain how to solve if i can
