Answer:
An explicit representation for the nth term of the sequence:
It means, option (B) should be true.
Step-by-step explanation:
Given the geometric sequence
A geometric sequence has a constant ratio, denoted by 'r', and is defined by
Determining the common ratios of all the adjacent terms
As the ratio is the same, so
r = 4
Given that f₁ = -1/2
substituting r = 4, and f₁ = -1/2 in the nth term
Thus, an explicit representation for the nth term of the sequence:
It means, option (B) should be true.
Answer:
3=x
Step-by-step explanation:
11=3x+2
g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.
<h3>
Which statement compares the graph of the two functions?</h3>
First, a vertical shift of N units is written as:
g(x) = f(x) + N
- if N > 0 the shift is upwards.
- If N < 0 the shift is downwards.
A horizontal shift of N units is written as:
g(x) = f(x + N).
- if N < 0, the shift is to the right.
- If N > 0, the shift is to the left.
In this case, we have:
g(x) = f(x + 8) + 4
So g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.
If you want to learn more about translations:
brainly.com/question/24850937
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Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
