Note: The third term of the sequence should be 
instead of 
, otherwise the sequence has no common ratio.
Given:
The given sequence is
To find:
The common ratio of the given sequence.
Solution:
The quotient of each pair of consecutive terms are:
Similarly,
And,
Therefore, the common ratio of the given sequence is 
or 0.75.
Answer:
Jan brought 44 cookies
Step-by-step explanation:
To solve this problem, we need to work backwards. First, we have 10 cookies left at the end of the day. At lunch, she gave away 12 cookies. This means that Ms. Jan had 22 cookies at lunch since
10
+
12
=
22
In the morning, Ms. Jan gave out half of her cookies. This means that she started with twice as many cookies as she had at the beginning of lunch.
22 x 2
=
44
Ms. Jan brought 44 cookies.
Answer:
I believe that Kevin is 6 years old now.
Step-by-step explanation:
I used the guess and check method to figure this out.
First, I began by making Daniel 1 years old, two years ago. Kevin was 4 times as old as Daniel two years ago, so he would be 4 at the time. Now, Daniel would be 3 and Kevin would be 6 years old. The statement that Kevin is three years older than Daniel would confirm this, because 6-3=3. Hope this helps, this is my first time answering:)
Answer:
-12
Step-by-step explanation:
Let b = -1 and a = -3
The average rate of change = 
f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2
f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22
f(b) - f(a) = -2 - 22 = -24
b - a = -1 + 3 = 2
= -24/2 = -12
Hey there! :)
Answer:
Domain: (-∞, ∞)
Range: [-1, ∞)
Step-by-step explanation:
This is an absolute-value function. (Graphed below) The vertex is at (-3, -1) which consists of the minimum y-value of the function. Therefore:
Domain: (-∞, ∞)
Range: [-1, ∞)
