What is the value of x in the figure shown below
2 answers:
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Answer:
5 cm
Step-by-step explanation:
Given the function:
As we know the above function is a quadratic equation (vertical parabola) open downward and the vertex is the maximum number of mosquitoes.
The vertex form of a quadratic function is:
where (h,k) is the vertex
Our given function have the vertex form as well, so the
(h,k) = (5,25)
At the height of 5 cm the rainfall will produce the maximum number of mosquitoes
Given that the equation is 3x² - 6x + 3 = 0
Discriminant = (-6)² - 4(3)(3) = 0
When the discriminant is 0, it means that there is one -real0number root,
Answer: one real-number root.