Answer:
f(2) = 729
Step-by-step explanation:
f(x) = 3^(x + 4)
Let x =2
f(2) = 3^(2 + 4)
f(2) = 3^(6)
f(2) = 729
The answer is B) There are exactly 4 students with 6 textbooks
Answer:
<h2>
3,654 different ways.</h2>
Step-by-step explanation:
If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).
Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.
29C3 = 29!/(29-3)!3!
29C3 = 29!/(26!)!3!
29C3 = 29*28*27*26!/26!3*2
29C3 = 29*28*27/6
29C3 = 3,654 different ways.
This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders
For the solution I isolated the variable by dividing each side by factors that don't contain the variable.
x = -6 + ∛2 / 2
x ≈ -5.37003947
Hope this helps!! :3
(If not, sorry)
Answer: 8x + 40
Step-by-step explanation:
To distribute, we multiply 8 by both of the values inside the parentheses;
Given:
8(x + 5)
Distribute:
(8 * x) + (8 * 5)
Multiply and simplify:
8x + 40