Answer:
1: False.
2: False.
3: True.
4: False.
5: False.
6: False.
Step-by-step explanation:
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Hope this helps!
y = x³ + 3x² - x - 3
0 = x³ + 3x² - x - 3
0 = x²(x) + x²(3) - 1(x) - 1(3)
0 = x²(x + 3) - 1(x + 3)
0 = (x² - 1)(x + 3)
0 = (x² + x - x - 1)(x + 3)
0 = (x(x) + x(1) - 1(x) - 1(1))(x + 3)
0 = (x(x + 1) - 1(x + 1))(x + 3)
0 = (x - 1)(x + 1)(x + 3)
0 = x - 1 or 0 = x + 1 or 0 = x + 3
+ 1 + 1 - 1 - 1 - 3 - 3
1 = x or -1 = x or -3 = x
Solution Set: {-3, -1, 1}
<u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>
⠀
- A polygon with 10 sides ( Decagon )
⠀
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
⠀
- The value of one of the exterior angles
⠀
<u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>
⠀

⠀
<u>Solution</u><u> </u><u>:</u><u>-</u>
⠀
Putting the given values, we get,
⠀

Thus, the value of the exterior angles of a Decagon is 36°.
⠀

Vol of water required to fill up the tub = 12-3 = 9
Rate of water per min = 3 -1.5 = 1.5/min
Using the formula vol = rt
t = v/r
t = 9/1.5 = 6
time taken = 6 mins