the set of all values that a function will return as outputs
Answer:
A. 336
B. Arranging 3 people in 8 chairs.
C. 42
B. Arranging 2 people in 7 chairs.
Step-by-step explanation:
A.
Formula for Permutation is given as:
Putting the value of = 8 and , we get:
B. Real world situation for part A:
Arranging 3 people on 8 chairs.
First person has 8 options.
Second person has 7 options.
Third person has 6 options.
C.
Formula for Permutation is given as:
Putting the value of = 7 and = 2 , we get:
D. Real world situation for part AC:
Arranging 2 people on 7 chairs.
First person has 7 options.
Second person has 6 options.
Answer:
C
Step-by-step explanation:
A, B and D are all false based on the data. C is true
M = 5 and x = 4
3(5) - 2(4)
15 - 8 = 7
I hope this helps!
Answer:
Both of the angles will add up to 180 degrees so let’s make an equation.
5x-5+2x+10=180
First we collect like terms
5x+2x-5+10=180
Add them up
7x+5=180
Move the constant to the right
7x=180-5
7x=175
7x/7=175/7
x=25
So yes it’s true x=25.
Now we find the respective angles,
5x-5
5(25)-5
125-5
120
So angle one is 120 degrees.
2x+10
2(25)+10
50+10
60
So angle two is 60 degrees.
Now to check,
120+60=180
Step-by-step explanation: