Answer:
19 - 28/n has a value of 15 when n=7
Explanation:
43 - 5n
3n - 5
6n - 28
19 - 28/n
when n = 7
43 - 5n = 43 - 5 * 7 = 43 - 35 = 8 ≠ 15
3n - 5 = 3*7 - 5 = 21 - 5 = 16 ≠ 15
6n - 28 = 6 * 7 - 28 = 42 - 28 = 14 ≠ 15
19 - 28/n = 19 - 28/7 = 19 - 4 = 15 = 15
19 - 28/n has a value of 15 when n=7
A mathematical expression that is equivalent to the given expression [tex](4+6i)^2[/tex] is -20 + 48i.
Given the following expression:
To determine a mathematical expression that is equivalent to the given expression:
In this exercise, you're required to solve for a mathematical expression that is equivalent to the given expression. Thus, we would simplify the expression by applying the perfect-square trinomial.
Mathematically, the perfect-square trinomial is given by this expression:
[tex](a+b)^2=a^2+2ab +b^2[/tex]
Comparing the expressions, we have:
[tex](4+6i)^2=4^2+2(4)(6i) +(6i)^2\\\\(4+6i)^2=16+48i +36i^2[/tex]
Note: [tex]i^2 = -1[/tex]
[tex](4+6i)^2=16+48i +36(-1)\\\\(4+6i)^2=16+48i -36\\\\(4+6i)^2=-20+48i[/tex]
Read more on mathematical expressions here: https://brainly.com/question/13170908
