y < x 2 + 10 x + 9 − − − − − − − − − − − − − − − − − − − − y = x 2 + 10 x + 9 = x 2 + x + 9 x + 9 = x ( x + 1 ) + 9 ( x + 1 ) = ( x + 1 ) ( x + 9 ) t h e zeros : x = − 9 an d x = − 1 → ( − 9 ; 0 ) an d ( − 1 ; 0 ) t h e v er t e x : x v = 2 ⋅ 1 − 10 = 2 − 10 = − 5 y v = ( − 5 ) 2 + 10 ( − 5 ) + 9 = 25 − 50 + 9 = − 16 V ( − 5 ; − 16 ) y − in t erce pt → ( 0 ; 9 ) ============================ l oo k a t t h e p i c t u re
To sketch the graph of the inequality y < x 2 + 10 x + 9 , first find the roots, vertex, and y-intercept of the equation y = x 2 + 10 x + 9 . The parabola opens upwards, with the boundaries at x-intercepts (-1, 0) and (-9, 0), and the region below the parabola should be shaded to represent the inequality. Use a dashed line for the parabola to indicate that it's not included in the solution.
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DiketahuiMenabung Rp 10.000.000,00Bunga 6%pertahunDitanyaJumlah tabungan setelah 18 BulanDijawabBunga pertahun[tex] = 10.000.000 \times 6\% \\ = 10.000.000 \times \frac{6}{100} \\ \\ = \frac{60.000.000}{100} = 600.000[/tex]Bunga perbulan[tex] = \frac{600.000}{12} = 50.000[/tex]Bunga 18 Bulan[tex] = 50.000 \times 18 = 900.000[/tex]Jumlah tabungan[tex] = 10.000.000 + 900.000 = 10.900.000[/tex]KesimpulanJadi jawabannya Rp 10.900.000,00