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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Answer:
Step-by-step explanation:
We want to find the fifth root of . In order to do so, we need to factorise
Let's factorise 486 first:
486 = 2 * 243 = 2 *
Ah, we see that can be taken out and becomes 3 outside of the 5th root since the 5th root of
Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.
We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.
Our final answer is thus: .
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