avaleeisawesomesauce avaleeisawesomesauce

09-06-2022
Mathematics

contestada

if c = 3k + 4 and d = 7 + 9k^2, what is d in terms of c?

a) c^2 + 8c + 23
b) c^2 - 8c + 23
c) 9c^2 - 108c +144
d) 9c^2 - 108c + 148
e) 9c^2 + 108c + 148

Respuesta :

reinhard10158 reinhard10158

10-06-2022

Step-by-step explanation:

c = 3k + 4

c - 4 = 3k

k = (c-4)/3

this we use in the second equation

d = 7 + 9k² = 7 + 9((c-4)/3)² = 7 + 9((c² - 8c + 16)/9) =

= 7 + c² - 8c + 16 = c² - 8c + 23

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