Answer:
There are (63) combinations. The notation means "six choose three". Out of six items (flavors) choose three.
(nk)=n!k!(n−k)!.
(63)=6!3!3!.
Think of it this way. There are 6 ways to choose a flavor. Once you choose, there are 5 ways to choose the next. After that, there are 4 flavors left. which is 6!/3!=6⋅5⋅4⋅3⋅2⋅13⋅2⋅1=6⋅5⋅4=120.
But, you could have chosen {chocolate,vanilla,strawberry} and you get the same combination as {vanilla, strawberry, chocolate} so we have to divide by 3!=3⋅2⋅1=6 to account for the order of choosing.
So the number of combinations of flavors is (63)=1206=20.
<h3>Mark me a brainlist</h3>
Answer:
Step-by-step explanation:
f(x) = 3x + 1 and g(x) = x^2 - 6
(f + g) (x)
(3x + 1) + (x^2 - 6)
3x + 1 + x^2 - 6
3x - 5 - x^2
=> -x^2 + 3x - 5
I hope this helps!
Answer:
Options A and C
Step-by-step explanation:
<u>To have a unit rate of change of 4.5 means to have the slope at 4.5</u>
A. y = 62 + 4.5x GOOD
B. c = 4.5 + 3h - 1 WRONG
C. c = 12 + 4.5h - 4.5 GOOD
D. y = 3.5x + 1 WRONG
E. y = 4.5 + 20x WRONG
Answer: Options A and C
Slope is x so it’s -1/5
pretty sure
haven’t done this in a year
Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4, 
..........
Ratio of 2nd and 1st term of the sequence = 
Ratio of 3rd and 2nd term of the sequence = 
=
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' =
First term of the sequence 'a' = 5
nth term of a geometric sequence = 
Therefore, nth term of the given term will be 
Now we have to find the 10 term of the given sequence.
For n = 10,
= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537
