Answer:
The equation for the axis of symmetry is x=1.5.
Step-by-step explanation:
It is given that a quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) .
In the given points y-coordinates are same, i.e., -8. It means both the points lie on the horizontal line y=-8.
If a quadratic function passes through two points (a,c) and (b,c), then the equation for the axis of symmetry is
According to the given points a=-5, b=8 and c=-8. Put these value in the above formula.
Therefore the equation for the axis of symmetry is x=1.5.
Answer:
For linear equations we use:
p=mx+b ------ (1)
Now we have the following coordinates:
(x1,p1)= (1000,280) and (x2, p2)=(5000,400)
First we need slope (m)
m=
=
Now we will plug the value of m in the first equation
=>
=> b = 250
Now plug into p=mx+b using only m=0.03 and b=250
When the unit price is $440, we can plug in 440 in for p;
=>
=>
=> x = 6333 refrigerators
The lowest price at which a refrigerator will be marketed, we can find this by plugging x = 0 in p=mx+b.
=> p = $250