Answer: 4/10
Explanation: 9/10 - 5/10 = 4/10
The denominator is already both 10 so u can subtract the numerator without worry
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Al factorizar la expresión dada obtenemos que es igual a x²*(5 - x)*(5 + 5)
Por propiedad de los números reales: tenemos que para a y b dos números reales, se cumple que:
(a² - b²) = (a + b)*(a - b)
Por lo tanto como tenemos: - x⁴ + 25x², ordenamos:
- x⁴ + 25x² = (25*x² - x⁴ = ((5x)² - (x²)²)
Usando la propiedad dada inicialmente: obtenemos que:
((5x)² - (x²)²) = (5x - x²)*(5x + x²)
Sacamos de cada término un factor común "x":
x*(5 - x)*x*(5 + x) = x²*(5 - x)*(5 + 5)
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729-243=486
486×3=1458
1458+729=2187(x=7)
1458×3=4374
4374+2187=6561(x=8)
4374×3=13122(average rate of change for interval 8 to 9)
13122+6561=19683(x=9)
Ans: B
