Answer:
x>-9
Step-by-step explanation:
The given inequality is :
-3x - 7 < 20
We need to find the solution of the inequality using graph.
-3x - 7 < 20
Add 7 to both sides
-3x-7+7 < 20+7
-3x <27
x>-9
Hence, the attatched graph shows the solution of the given inequality.
Answer:
6^10 over 7^6.
Step-by-step explanation:
(6^5 over 7^3)^2
= 6^(5*2) / 7^(3*2)
= 6^10 over 7^6.
Answer:
1024pi/3
Step-by-step explanation:
to find the volume of a sphere you use the equation 4/3*pi*r^3
4/3*pi*8^3
4/3*pi*512
2048/3 pi
This is the volume of the whole sphere but we only need half so we can just divide by 2.
(2048/3 pi)/2
1024/3 pi
Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Further explanation:
We will put n=1,2,3,4,5 to find which functions give the given sequence
<u>f(n) = 2n − 1</u>
Putting values of n
This function doesn't generate the given sequence
<u>f(n) = 2n + 1</u>
Putting values of n
This function generates the given sequence.
<u>f(n) = 2(n − 1) − 3</u>
Putting values of n
This function doesn't generate the given sequence
<u>f(n) = 2(n − 1) + 3</u>
Putting values of n
Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Keywords: Functions, Sequence
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