Answer:
8
Step-by-step explanation:
If you add 5 and 3 then subtract the answer from 16 you get 8
AE = 6
This is because ABE is a right triangle with the right angle being angle BAE. We know that AB = 8 and EB = 10, so we can use the Pythagorean Thoerem to find AE.
Step-by-step explanation:
W(x) = (10x⁴ − 8) (30x + 25)^0.5
A) Take log of both sides.
ln(W) = ln[(10x⁴ − 8) (30x + 25)^0.5]
ln(W) = ln(10x⁴ − 8) + ln[(30x + 25)^0.5]
ln(W) = ln(10x⁴ − 8) + 0.5 ln(30x + 25)
Take derivative.
W' / W = 40x³ / (10x⁴ − 8) + 0.5 (30) / (30x + 25)
W' / W = 20x³ / (5x⁴ − 4) + 3 / (6x + 5)
W' = W [20x³ / (5x⁴ − 4) + 3 / (6x + 5)]
W'(x) = (10x⁴ − 8) (30x + 25)^0.5 [20x³ / (5x⁴ − 4) + 3 / (6x + 5)]
B) Evaluate at x = 0.
W'(0) = (0 − 8) (0 + 25)^0.5 [0 / (0 − 4) + 3 / (0 + 5)]
W'(0) = (-8) (5) (0 + 3/5)
W'(0) = -24
We are asked to perform synthetic division of the given expression such as (x6 - 250x2 - 96) by (x-4). In order for us to solve this problem, we need to complete the expression and fill the missing part such as:
x6 + 0x5 + 0x4 + 0x3 - 250x2 +0x -96
Then start the solution such as;
+4 | 1 0 0 0 -250 0 -96
| 4 16 64 256 24 96
|-------------------------------------------
1 4 16 64 6 24 0
The answer is X5 + 4X4 + 16X3 + 64X2 + 6X + 24 with no remainder.
