Answer:
Step-by-step explanation:
<u>The roots are:</u>
- 3, 3, 2 - 3i, 2 + 3i (conjugate of 2 - 3i should be added) and the leading coefficient is - 5
<u>The polynomial is:</u>
- -5(x - 3)² (x - [2 - 3i]) (x - [2 + 3i]) =
- - 5(x² - 6x + 9) (x² - 4x + 13) =
- -5(x⁴ - 10x³ + 46x² - 114x + 117) =
- -5x⁴ + 50x³ - 230x² + 570x - 585
Answer:
100
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Natural numbers are numbers which are positive whole numbers greater than 0. This includes 1, 2, 3, ...etc.
To determine, solve each equation.
A. x=0
B. x = 1/3
C. x=3
D. x=-4, 4
Only C is a natural number.
Answer:
4 hours
Step-by-step explanation:
Cost of renting a bike at Oceanside Bike Rental Shop = 18 + 8x
Where,
x = number of hours for renting the bike
Alyssa paid 50 dollars to rent a bike.
How many hours did she pay to have the bike checked out ?
C = 18 + 8x
50 = 18 + 8x
Subtract 18 from both sides
50 - 18 = 18 + 8x - 18
32 = 8x
Divide both sides by 8
32 / 8 = 8x / 8
4 = x
x = 4 hours
Answer: See attached images
Step-by-step explanation:
For third period:
Minimum = 67
1st Quartile: 79.5
Median/2nd Quartile: 85
3rd Quartile: 90.5
Maximum = 99
I've attached the image for this class's box plot.
For Sixth Period:
Minimum = 70
1st Quartile: 79.5
Median/2nd Quartile: 88
3rd Quartile: 90.5
Maximum = 95
I've also attached the image for this class's box plot