Which calculation will ALWAYS give a result greater than 11?
1 answer:
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Answer:
D. .
Step-by-step explanation:
Given:
We need to reduce by
Solution:
To reduce the equation means we need to subtract the one equation from other.
First we will arrange the equation n proper format we get;
⇒ equation 1
Also Arranging other equation we get;
⇒ equation 2
Now we will subtract equation 2 from equation 1 we get;
Now Applying distributive property for the sign we get;
Now Arranging the like terms we get;
Hence the reduce form of the given equation is .
The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function that has vertex at (2, 6)
The options are:
f(x) = 2|x – 2| – 6
f(x) = 2|x – 2| + 6
f(x) = 2|x + 2| + 6
f(x) = 2|x + 2| – 6
As we know the vertex form of a quadratic function is given by:
f(x) = a(x - h)² + k
Similarly, mod function can be expressed as:
m(x) = a|x - h| + k
Here (h, k) is the vertex of a function.
In the function:
f(x) = 2|x – 2| + 6
The vertex of the function is (2, 6)
Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
Learn more about the function here:
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