Step-by-step explanation:
factors of 24 = {1, 2, 3, 4, 6,8,12, 24}
factors of 36 ={ 1,2,3,4,6,9,12 ,18,36}
factors of 42 ={ 1,2,3, 6,7, 14 , 21,42}
common factor = { 1,2 ,3 ,6}
HCF = 6
Answer:
The temperature range is , going from to
The temperature range is the difference between the maximum and the minimum temperature:
The formula for the sequence is:
The general term of a geometric sequence is given by:
In which is the first term and r is the common ratio between the terms, that is, the division between them.
What is the formula for the sequence 2, -6, 18, -54, ...?
First term is 2, so
Common ratio is given by:
So the sequence is given by:
The vertex for the function f(x) = 3(x – 2)2 + 4 is at (2, 4).
Find the vertex for f(x) = 3 (x - 2)^2 + 4
f(x) = 3 (x - 2)^2 + 4 can also be written as:
y = 3 (x - 2)^2 + 4
To find critical points, first compute f'(x):
d/(dx)(3 (x - 2)^2 + 4) = 6 (x - 2):
f'(x) = 6 (x - 2)
Solve 6 (x - 2) = 0
6x - 12 = 0
6x = 12
x = 2
iI you substitute x = 2 in 3 (x - 2)^2 + 4 then you get:
y = 3 (2 - 2)^2 + 4
y = 3 (0)^2 + 4
y = 3 (0) + 4
y = 4
Answer: The vertex for the function f(x) = 3(x – 2)2 + 4 is at ( 2, 4 ).