Let’s determine the actual mean
First, we sum all the values
87+46+90+78+89 = 390
Then, we divide 390 by the count of numbers present.
390/5 = 78
Thus, the mean is 78
Emi did not manage to calculate the difference
Answer:
StartFraction negative 1 Over k cubed EndFraction
Detailed breakdown:
3k / (k + 1) × (k² - 1) / 3k³
= 3k(k² - 1) / (k + 1)(3k³)
= 3k³ - 3k / 3k⁴ + 3k³
= -3k / 3k⁴
= -1/k³
StartFraction k + 1 Over k squared EndFraction
(k + 1) / k²
StartFraction k minus 1 Over k squared EndFraction
(k - 1)/k²
StartFraction negative 1 Over k cubed EndFraction
= -1/k³
StartFraction 1 Over k EndFraction
= 1/k
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(x - 3)(x + 9) = -27
Expand the expression:
x^2 + 9x - 3x - 27 = -27
Simplify the equation:
x^2 + 6x - 27 = -27
Add 27 to both sides
x^2 + 6x = 0
Factor the equation:
x(x + 6)
The solutions are x = 0, x = -6
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