Answers:
The next two terms are 67.5 and 101.25 in that order.
===========================================
Explanation:
Divide the second term over the first to get 30/20 = 1.5
Divide the third term over the second term to get 45/30 = 1.5
The common ratio is 1.5, which means we multiply 1.5 by each term to get the next term
-------
fourth term = 1.5*(third term) = 1.5*45 = 67.5
fifth term = 1.5*(fourth term) = 1.5*67.5 = 101.25
-------
As a shortcut you can plug n = 4 and n = 5 into the function t(n) = 20*(1.5)^(n-1) to get the fourth and fifth terms respectively.
2/10 because there are 10 cards and there are 5 circles and 3 triangles
Answer:
B:
Step-by-step explanation:
1. Substitute for c:
2. Solve substitution:
3. Compare to calculated answers when
4. when is
░░███████░░░░░░░░░░███▒▒▒▒▒▒▒▒███░░░░░░░
░░█▒▒▒▒▒▒█░░░░░░░███▒▒▒▒▒▒▒▒▒▒▒▒▒███░░░░
░░░█▒▒▒▒▒▒█░░░░██▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██░░
░░░░█▒▒▒▒▒█░░░██▒▒▒▒▒██▒▒▒▒▒▒██▒▒▒▒▒███░
░░░░░█▒▒▒█░░░█▒▒▒▒▒▒████▒▒▒▒████▒▒▒▒▒▒██
░░░█████████████▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██
░░░█▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒██
░██▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒██▒▒▒▒▒▒▒▒▒▒██▒▒▒▒██
██▒▒▒███████████▒▒▒▒▒██▒▒▒▒▒▒▒▒██▒▒▒▒▒██
█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒████████▒▒▒▒▒▒▒██
██▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██░
░█▒▒▒███████████▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██░░░
░██▒▒▒▒▒▒▒▒▒▒████▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█░░░░░
░░████████████░░░█████████████████░░░░░░
Answer:
f(x + 2) = 3x + 2
Step-by-step explanation:
Simply replace wherever you find x in the function f(x) with (x + 2), like so:
f(x + 2) = 3(x + 2) - 4
f(x + 2) = 3x + 6 - 4
f(x + 2) = 3x + 2