24×1/6 =24/6 = 4
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Answer: it’s 2.1
Step-by-step explanation:
Amplitude + y value 3+-0.9=2.1
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Answer:
a) x = 13
b) x = 7
Step-by-step explanation:
A) Since they have the same base of 2 so
x + 4 + (-5) = 12
x - 1 = 12
x = 13
b) Since they have the same base of -3 so
8 + x + 4 = 19
x + 12 = 19
x = 7
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
