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
Answer:
Step-by-step explanation:
State promise
Answer:
f(2) = 75
f(6) = 4091
Step-by-step explanation:
Answer:
-38>x
Step-by-step explanation:
Using proportions, it is found that the thickness of the icing between the layers, in inches, is of:
E 1 inch
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, there are six layers, each measuring 1.25 inches tall, hence the height of these layers is:
6 x 1.25 = 7.5 inches
Then the height of the icing between the layers is of:
13.5 - 7.5 = 6 inches
Six layers, hence each icing is of:
6/6 = 1 inch
More can be learned about proportions at brainly.com/question/24372153
