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Pie
3 years ago
13

Melinda has shown that a function, f(x), increases by 4 for every unit in the domain. What does this prove?

Mathematics
2 answers:
inn [45]3 years ago
5 0
It proves The function f(x) is an arithmetic sequence.
loris [4]3 years ago
5 0

Answer:-The function f(x) is an arithmetic sequence.


Explanation:-

Let a_1 be the initial value

According to the question

a_2=a_1+4

a_3=a_2+4\\\Rightarrow\ a_3=(a_1+4)+4\\\Rightarrow\ a_3=a_1+4+4\\\Rightarrow\ a_3=a_1+2(4)\\\Rightarrow\ a_3=a_1+2\times4\\\Rightarrow\ a_3=a_1+(3-1)4  and so on

Thus, we can write a formula for the term n of an arithmetic sequence in the form:

a_n=a_1+(n-1)4

where, n=1,2,3,4,....

4= common difference

Therefore, the function f(x) is an arithmetic sequence.

  • An arithmetic sequence is a sequence of numbers in which each term increases or decreases by a constant number.

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Effectus [21]

Answer:

<h3>x = 27</h3>

Step-by-step explanation:

Given the expression {2x^{\frac{5}{3} }-22 = 464, we are to find the value of x in the expression. This is as shown below;

{2x^{\frac{5}{3} }-22 = 464

add 22 to both sides

{2x^{\frac{5}{3} }-22 = 464+22\\\\

{2x^{5/3} =486

divide both sides by 2

\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243

raise both sides to the power of 3/5

(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27

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2 years ago
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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

Please find the complete question in the attached file.

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