Answer:
The function would be
.This is in the general form
, where a is the initial value, b is the rate it increases by, and x is the amount of time. For our function, the initial value is 4 and the rate it increases by is 2.
Step-by-step explanation:
Answer:
5.92 times 10 to the 2nd power.
Step-by-step explanation:
So funny I just finished my unit on scientific notation! So what you do is you count the distance from the first non-zero number (in this case, it would be after 5), and count how many places there are until the decimal point. I hope this helped! :D
The volume for a pyramid is
, where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this:
. Simplifying the right side we have
. Multiply both sides by 18 to get rid of the fraction and we have
, so x = 117.575
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
