∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
Answer:
9 < √91 < 10
Step-by-step explanation:
just square everything
If you want to find out what that number is, then let's call it n
n + 3n (Three times the number) + 12 = 32
Simplify
4n + 12 = 32
Subtract 12 from each side
4n = 20
Divide each side by 4
n = 5
By=x+2, as this is the only equation that shows the relation between 2 variables