What are the units? Tell me the units so I can solve this please.
-3.073 that is the correct answer
Answer:
Daniel
Step-by-step explanation:
Daniel ran 5000/40=500=4=125 meters in 1 minutes
Andy ran 4550/37=122.9729... some less than 123 meters in second
Daniel was faster than Andy
The percentage increase is 46%.
Original number/start = $15
End number = $22
Increase = $22 - $15 = $7
% increase = Increase ÷ Original Number × 100
Substitute in known values
% increase = 7 ÷ 15 × 100
Divide
% increase = 0.46 × 100
Multiply
% increase = 46%
The percentage increase is 46%.
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Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
