If a = 3n+4 and b = 7+9n^2, what is b in terms of a? A) a^2 + 8a + 23 B) a^2 - 8a + 23 C) 9a^2 - 108a + 144 D) 9a^2 - 108a + 148

Question

asked Feb 3, 2023 46.0k views

2 Answers

Davidbuzatto · Answer 1 · 2023-02-03T19:21:19+0000

Answer: The answer is B

Explanation:

a = 3n + 4

a - 4 = 3n

a - 4 = n

3

b = 7 + 9n^2 = 7 + 9 __(a - 4) ^2___ = 7 + 9 _(a - 4) ^2_____

3^2 9

= 7 + (a - 4)^2 = 7 + a^2 - 8a + 16

= a^2 - 8a + 23