The value of the third expression [tex]\rm \dfrac{45}{n} + 7[/tex] for n = 5 is 16 which is equivalent to 16.
The equivalent is the functions that are in different forms but are equal to the same value.
Given
The expressions are shown below.
[tex]\rm 1. \ \dfrac{25}{n} + 7\\\\2. \ 30 -3n\\\\3. \ 7+ \dfrac{45}{n}\\\\4. \ n^3 - 114[/tex]
The expression is equivalent to 16 for n = 5.
1. For n = 5, the expression will be
[tex]\rm \dfrac{25}{n} + 7\\\\ \dfrac{25}{5} + 7\\\\5 + 7 \\12[/tex]
The expression is not equivalent to 16.
2. For n = 5, the expression will be
[tex]\rm 30 - 3n\\30 - 3 * 5 \\30 - 15\\15[/tex]
The expression is not equivalent to 16.
3. For n = 5, the expression will be
[tex]\rm \dfrac{45}{n} + 7\\\\ \dfrac{45}{5} + 7\\\\9 + 7 \\16[/tex]
The expression is equivalent to 16.
4. For n = 5, the expression will be
[tex]\rm n^3 - 114 \\\\5^3 - 114 \\\\125 -114\\\\11[/tex]
The expression is not equivalent to 16.
Thus, the third expression is equivalent to the 16.
More about the equivalent link is given below.
https://brainly.com/question/10498970
Answer:
The answer is C, [tex]7+\frac{45}{n}[/tex]
Step-by-step explanation:
1. if n=5 then the expression would be rewritten as [tex]7 + \frac{45}{5}[/tex]
2. 45 divide 5 is 9.
