Answer:
Answer:
3
×
3
×
4
×
2
=
72
Explanation:
Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:
⎛
⎜
⎜
⎜
⎜
⎝
0
Soup 1
Soup 2
Soup 3
Sandwich 1
1
2
3
Sandwich 2
4
5
6
Sandwich 3
7
8
9
⎞
⎟
⎟
⎟
⎟
⎠
And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.
The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:
3
×
3
×
4
×
2
=
72
Answer:
P(N) = 6 + N ; if P(N) > 12 ; P(N) = 6 + N - 12
Step-by-step explanation:
Paris is 6 hours ahead of New York ;
P - Paris time
N - New York time
To represent P as a function of N
P(N) = 6 + N
If P comes out greater than 12 ; because we want a 12-hour clock :
If P(N) is > 12
P(N) becomes ;
P(N) = 6 + N - 12
Answer:
<h2>(k ∘ p)(x) = 2x² - 16x + 25</h2>
Step-by-step explanation:
k(x) = 2x² - 7
p(x) = x - 4
To find (k ∘ p)(x) substitute p(x) into k(x),
that's replace any x in k(x) by p(x)
We have
(k ∘ p)(x) = 2(x - 4)² - 7
Expand
(k ∘ p)(x) = 2( x² - 8x + 16) - 7
= 2x² - 16x + 32 - 7
Simplify
We have the final answer as
<h3>(k ∘ p)(x) = 2x² - 16x + 25</h3>
Hope this helps you
