Answer:
- 220 options, 84 options, 20 options, 1 option
Step-by-step explanation:
<h3>The first dinner</h3>
Combinations of 3 out of 12 items
- 12C3 = 12!/(12-3)!3! = 12!/9!3! = 12*11*10/2*3 = 220
<h3>The second dinner</h3>
Combinations 3 out of remaining 9 items
- 9C3 = 9!/(9 - 3)!3! = 9!/6!3! = 9*8*7/2*3 = 84
<h3>The third dinner</h3>
Combinations of 3 out of remaining 6 items
- 6C3 = 6!/(6 - 3)!3! = 6!/3!3! = 6*5*4/2*3 = 20
<h3>The fourth dinner</h3>
Combinations of 3 out of 3 remaining items
- 3C3 = 3!/(3 - 3)!3! = 3!/0!3! = 1
Answer:
x greather than equal to 48
Step-by-step explanation:
Look he needs AT LEAST $80. So the sign is greater than or equal to.
So the inequality is x+32 is greater than or equal to 80
x greater than or equal to 48
Answer:
The rate of change for the interval shown in the table is 1 , so the function is a linear function.
Step-by-step explanation:
See the table attached.
The table shows selected points from a function.
Now, the given interval is x = 1 to x = 4.
For, x = 1, f(x) = 2 and for x = 4. the function f(x) = 5.
Therefore, the rate of change for the interval shown in the table i.e slope of the line is 
and it is constant throughout the interval so the function is a linear function. (Answer)
THE ANSWER IS C because the angles given add up to 180
