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Andreyy89
3 years ago
8

What is the 35th number in the sequence 4, 7, 12, 19, 28,…?

Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer:

n²+3. is the nth term

Step-by-step explanation:

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How to do this? (#21 and #23)
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Answer:

\large\boxed{21.\ g(x)=f(x-2)+1\to g(x)=\log_3(x-2)+1}\\\\\boxed{22.\ g(x)=f(x)-4\to g(x)=3^x-4}\\\\\boxed{23.\ g(x)=-f(x)\to g(x)=-\log_{\frac{1}{2}}x}

Step-by-step explanation:

f(x) + n - shift the grapf n units up

f(x) - n - shift the grapf n units down

f(x + n) - shift the grapf n units to the left

f(x - n) - shift the grapf n units to the right

-f(x) - reflection about the x-axis

f(-x) - reflection about the y-axis

============================================

Look at the picture.

21.\\f(x)=\log_3x\\\\g(x)=\log_3(x-2)+1

move the graph 2 units to the right and 1 unit up

22.\\f(x)=3^x\\\\g(x)=3^x-4

move the graph 4 units down

23.\\f(x)=\log_{\frac{1}{2}}x\\\\g(x)=-\log_{\frac{1}{2}}x

reflection the graph about the X axis.

4 0
3 years ago
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