Please help out with this geometry homework I was assigned. And what formula do I use?
1 answer:
You might be interested in
Answer: x = {-4, -1, 2}
<u>Step-by-step explanation:</u>
q p
F(x) = x³ + 3x² - 6x - 8
Possible rational roots are: +/- {1, 2, 4, 8}
F(1) = (1)³ + 3(1)² - 6(1) - 8
= 1 + 3 - 6 - 8
= -10 <em>Since the remainder is not 0, then x = 1 is not a root</em>
F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8
= -1 + 3 + 6 - 8
= 0 <em>Since the remainder is 0, x = -1 is a root.</em>
Use synthetic division to find the remaining factor:
x = -1 → x + 1 = 0
-1 | 1 3 -6 -8
<u>| ↓ -1 -2 8 </u>
1 2 -8 0
(x + 1)(x² + 2x - 8) = 0
Next, factor the polynomial:
(x + 1)(x + 4)(x - 2) = 0
x + 1 = 0 x + 4 = 0 x - 2 = 0
x = -1 x = -4 x = 2
Given that Rolex buys computer disks at a price of 4 for $5 .
That means cost price of 1 disk = 5/4
Given that Rolex sells them at a price of 3 for $5.
That means selling price of 1 disk = 5/3
Profit on 1 disk = selling price - cost price
Profit on 1 disk
Profit on 1 disk
Profit on 1 disk
Profit on 1 disk
Now we have to find how many disk to be sold to get the profit $100
so we just divide $100 by profit on 1 disk
Hence final answer is 240 disks.