Simplify: (12x3y4)(5x6y3)
2 answers:
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Answer:
A) The graph of g(x) is shrunk vertically by a factor of 1/9
Step-by-step explanation:
The given graph g(x) = 1/9√x
f(x) = √x
The altitude of g(x) = 1/9
The altitude of f(X) = 1
When comparing the graph of g(x) with f(x), the graph of g(x) shrunk by 1/9 because of the altitude.
Here with I have attached the graph.
Therefore, answer: A) The graph of g(x) is shrunk vertically by a factor of 1/9
Thank you.
Answer:
Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.
Step-by-step explanation:
Recall that the direct formula of a geometric sequence is given by:
Where <em>T</em>ₙ<em> </em>is the <em>n</em>th term, <em>a</em> is the initial term, and <em>r</em> is the common ratio.
We are given that the fifth term <em>T</em>₅ = 96 and the eighth term <em>T</em>₈ = 768. In other words:
Substitute and simplify:
We can rewrite the second equation as:
Substitute:
Hence:
So, the common ratio <em>r</em> is two.
Using the first equation, we can solve for the initial term:
In conclusion, of the given geometric sequence, the first term <em>a</em> is 6 and its common ratio <em>r</em> is 2.