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jennyferluna0216
27.10.2020 •
Mathematics
A person's Body Mass Index is calculated with the formula:
BMI=(weightheight2)⋅703
BMI=(weightheight2)⋅703
where weight is in pounds and height is in inches. If a person's BMI is above 25 and below 30, they are classified as overweight. If we solve this equation for height, we can determine how tall a person of a given weight should be if they have a BMI of 25.
Our new Function is H(w)=√703wbH(w)=703 wb where H(w)H(w) is the person height in inches and ww is a person weight in pounds and bb is the person's Body Mass Index (BMI). Use the function to answer the following questions.
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Ответ:
Vertex of given quadratic function is (-2,-36)
Step-by-step explanation:
Given function
We have to find the vertex of the given function .
The standard quadratic function is represented by ,
Where (h,k) represents the vertex and a ≠ 0.
If a is positive, the graph opens upward, and if a is negative, then it opens downward.
We first write the given equation in standard form ,by using completing square,
We know
First taking 5 common from function, we have,
Comparing we have, a = x and
-2ab= +4x ⇒ -2b = 4 ⇒ b = -2
Add and subtract b , we get,
On simplifying, we have,
We get,
On comapring with standard equtaion , we have h = -2 and k = -36
Thus, vertex of given quadratic function is (-2 ,-36)