look at the photo attached for the question, please help asap!
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Answer:
y ≥ - 0.8
Step-by-step explanation:
[tex]\sqrt{25y^2 +40y+16}[/tex] = 5y + 4
[tex]\sqrt{(5y+4)^2}[/tex] = 5y + 4
5y + 4 = 5y + 4 and 5y + 4 ≥ 0 ⇒ y ≥ - 0.8
y ∈ [ - 0.8 , ∞ )
- ( 5y + 4 ) = 5y + 4
10y = - 8
y = - 0.8
The answer is y ≥ - 0.8