The variables y and x have a proportional relationship, and y = 25 when x = 60.
2 answers:
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Answer:
a)
b)
c)
d)
e)
Step-by-step explanation:
Let define some notation:
[L]= represent longitude , [T] =represent time
And we have defined:
s(t) a position function
Part a
If we do the dimensional analysis for v we got:
Part b
For the acceleration we can use the result obtained from part a and we got:
Part c
From definition if we do the integral of the velocity respect to t we got the position:
And the dimensional analysis for the position is:
Part d
The integral for the acceleration respect to the time is the velocity:
And the dimensional analysis for the position is:
Part e
If we take the derivate respect to the acceleration and we want to find the dimensional analysis for this case we got:
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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