Slope = raise / run
(211.1 - 212.0) / (0.5-0) = - 1.8
(210.2 - 211.1) / (1.0-0.5) = - 1.8
(208.4 - 210.2) / (2.0 - 1.0) = - 1.8
You can check, the other points. The slope is constant because the function is a linear equation,
Answer: - 1.8
Let f(x) = ax³ + 9x² + 4x – 10
g(x) = 0⇒x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
On dividing f(x) by x - 3, it leaves a remainder 5.
Now keeping, f(3) = 5
⇒a(3)³ + 9(3)² + 4(3) - 10 = 5
⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5
⇒ 27a + 81 + 12 - 10 = 5
⇒ 81 + 12 - 10 - 5 = 27a
⇒ 81 + 12 - 15 = 27a
⇒ 93 - 15 = 27a
⇒ 78 = 27a
⇒ a = 27/78
⇒ a = 0.3461
G should be the correct answer
Hope this helps!
