Answer:
x=-3
Step-by-step explanation:
-4(-2x+5)-5x+5=-24
8x-20-5x+5=-24
3x-15=-24
3x=-9
x=-3
I hope that this helped you!
Since there is no repetition allowed, there are 10 possibilities for the 1st digit, 9 for the 2nd, 8 for the 3rd, and 7 for the 4th. This gives a total of (10)(9)(8)(7) = 5040 four-digit codes.
For all odd digits to be used, there are 5 possibilities for the 1st digit (1,3,5,7,9), 4 for the 2nd, 3 for the 3rd, 2 for the 4th. This gives a total of (5)(4)(3)(2) = 120 codes that only use odd digits.
Therefore there are 5040 - 120 = 4920 codes that do not consist of all odd digits. The probability is 4920/5040 = 41/42.
Answer:
Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface
Step-by-step explanation:
The height of Cassidy's diving platform above the water = 6 ft.
The equation that models her dive is d = x² - 7·x + 6
Where;
d = Her vertical position or distance from the water surface
x = Here horizontal distance from the platform
At Cassidy's maximum depth, we have;
dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0
x = 7/2 = 3.5
∴ At Cassidy's maximum depth, x = 3.5 ft.
The maximum depth, 
= d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25
The maximum depth, Cassidy went before coming back up to the surface = = -6.25 ft = 6.25 ft. below the surface of the water.
Answer:
1.5 ≤ 3.75x
Step-by-step explanation:
Given that:
Distance, D to jog is atleast 1.5 miles
D ≥ 1.5 miles
x = number of hours to jog
Jog rate = 3.75 mph
Actual distance covered if jog last for X hours
Actual Distance = speed * time
Actual Distance = 3.75 * x = 3.75x
Hence,
D ≤ Actual distance
1.5 ≤ 3.75x
