1 answer:
The quadratic function that passes through the point (0,6), (3,15.8), and (9.5,0) is y = -0.6x² + 5.07x + 6
<h3>How to determine the quadratic function?</h3>The points are given as:
(0,6), (3,15.8), and (9.5,0)
A quadratic function is represented as:
y = ax² + bx + c
Next, we substitute the points in the equation.
a(0)² + b(0) + c = 6
a(3)² + b(3) + c = 15.8
a(9.5)² + b(9.5) + c = 0
Simplify the expressions
c = 6
9a + 3b + c = 15.8
90.25a + 9.5b + c = 0
Solve for a, b and c using a graphing calculator
a = -0.6
b = 5.07
c = 6
Hence, the quadratic function is
y = -0.6x² + 5.07x + 6
Read more about quadratic functions at:
#SPJ1
You might be interested in
Answer:
Step-by-step explanation:
The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.
This line has a y-intercept of 4 and a slope of -1.
This means that the equation of this line would be
Now that we have the equation of the line, we just need to determine which inequality sign to use.
As the shaded region is BELOW the line, we will use a less than (<) sign.
As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that would be the equation for this inequality.