Answer:
see explanation
Step-by-step explanation:
(1)
Given
3(x + 3)² - 1 = - 13 ( add 1 to both sides )
3(x + 3)² = - 12 ( divide both sides by 3 )
(x + 3)² = - 4 ( take the square root of both sides )
x + 3 = ± 
= ± 2i ( subtract 3 from both sides )
x = - 3 ± 2i ← complex conjugate roots
(2)
Given
3x² - 12x + 27 = 0 ( subtract 27 from both sides )
3x² - 12x = - 27 ( divide through by 3 )
x² - 4x = - 9
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = - 9 + 4
(x - 2)² = - 5 ( take the square root of both sides )
x - 2 = ± 
= ± i
( add 2 to both sides )
x = 2 ± i ← complex conjugate roots
Solving the given inequality for d, we get...
6d + 15 < 50
6d + 15-15 < 50-15 <<-- subtract 15 from both sides
6d < 35
6d/6 < 35/6 <<--- divide both sides by 6
d < 5.83
Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}
The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
Any larger value of d is not allowed as it would make the total cost go over $50
Notice how I'm rounding down regardless how close 5.83 is to 6
Answer:
8,8,8,7
Step-by-step explanation:
5,6,7,8,8,10,12
8 is the median since its the number in the middle
8 is the mode since it is the repeated number
7 is the range since 12-5 is 7
all the numbers added and divided by the number of numbers is the mean
(5+6+7+8+8+10+12)/7=8
Answer:
x+1=x *x
Step-by-step explanation:
Answer:
7.2 km
Step-by-step explanation:
Given that:
Hours taken = 2 hours
Walk rate = 1 m/s
Distance = Speed * time
Time taken in seconds = 2 * 60 * 60 = 7200 s
Hence,
Distance = 1 m/s * 7200s
Distance = 7200 meters
Distance in km = 7200 / 1000 = 7.2 km
