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
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The answer in the procedure
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L is the length of the rectangular base
W is the width of the rectangular base
H is the height of the pyramid
If the pyramid is scaled proportionally by a factor of k
then
the new dimensions are
L=kL
W=kW
H=kH
substitute and find the new Volume V'
The new volume is equal to the scale factor k elevated to the cube multiplied by the original volume
we know that
domain is all possible values of x for which any function is defined
so, here domain will be all possible values of x fro which y is defined
so, we will find minimum and maximum value of x
we can see that
x starts from 0
so, minimum value is x=0
and it goes to right upto infinity
so, domain will be
...............Answer