Answer:
The total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.
Step-by-step explanation:
The total movies are given as 19 mysteries +12 documentaries=19+12=31
Now the number of total combinations such that 4 movies are rented is given as 
Now the number of total combinations with no documentary is given as

So the number of combination such that at least one movie is documentary is given as
=Total Combinations-Combinations with no documentary
=31465-3876
=27589
So the total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.
Answer:
Continuously
Step-by-step explanation:
Continuously
Answer:
1.6 hours / 1 hour 36 minutes
Step-by-step explanation:
105+95=200 miles
This is the distance that the trains could travel in an hour.
320÷200=1.6 hours
Our Answer is 1.6 hours / 1 hour 36 minutes
Answer:
at least $1,050,000
Step-by-step explanation:
Deandre's salary will be ...
12000 + 0.06·sales
He wants that to be at least 75000, so the sales must meet the requirement ...
12000 + 0.06·sales ≥ 75000
0.06·sales ≥ 63000 . . . . . . . . . . . . subtract 12000
sales ≥ 63000/0.06 . . . . . . . . . . . .divide by 0.06
sales ≥ 1,050,000 . . . . . . . . . . . . . .evaluate
He will need to have at least $1,050,000 in total sales to have a yearly income at least $75,000.
Answer:


Step-by-step explanation:
<u>Given</u> :
4 cancels throughout.
<u>Solving by quadratic formula</u> :
- x = -8 ± √(8)² - 4(4)(-12) / 8
- x = -8 ± √64 + 192 / 8
- x = -8 ± √256 / 8
- x = -8 ± 16 / 8
- x = -1 ± 2
- x = 1 and x = -3
∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.