The vertex of the given quadratic polynomial function is (6, 8)
A quadratic polynomial function is the one which can be represented in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. A parabola is formed when the quadratic polynomial is plotted on graph. The x coordinate of the vertex can be found using formula (-b/2a) and y coordinate can be found by putting the value of x in the equation.
Given polynomial function x² - 12x + 44
Now, x = (-b/2a)
x = (12/2)
=> x = 6
Now, y = 6² - 12×6 + 44
y = 36 - 72 + 44
=> y = 8
Therefore, Vertex = (6, 8)
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Answer:
30
Step-by-step explanation:
If there are 5 for every 6, then you divide 36 by 6 and then you get 6
Once you get that, multiply 5 by 6 and get 30
Answer: It provides a total brain workout.” Research has shown that listening to music can reduce anxiety, blood pressure, and pain as well as improve sleep quality, mood, mental alertness, and memory.
Answer:
A. h(x)= -5.86x^2 + 23.37x + 34
Step-by-step explanation:
If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.
Then, the combined yield
of the two farms is just the yield of the first farm plus the yield of the second farm:
.
Now, since

and
,
then

we add the coefficients of the corresponding terms to get:


Which is choice A.