Answer:
(f∘g)(x)=(2x+7)^3
Step-by-step explanation:
substitute g(x) in f(x)
(f∘g)(x)=f(g(x))=f(2x+7)=(2x+7)^3=(2x+7)^3
Answer:
51-2x
Step-by-step explanation:
25 > 2x + 8 - 66
first simplify all numbers
25 > 2x + (8 - 66)
25 > 2x - 58
Then add 58 to both sides
25 (+58) > 2x - 58 (+58)
83 > 2x
Finally divide 2 from both sides to isolate the x
83/2 > 2x/2
41.5 > x
hope this helps
Answer:
First Box: -10/5
Second Box = -1.25
Third Box = -0.5
Fourth Box = 0.75
Fifth Box = 3/2
Step-by-step explanation:
NOTE: I AM SAYING THIS FROM LEFT TO RIGHT
Part (a)
There are 7 red out of 7+3 = 10 total
<h3>Answer: 7/10</h3>
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Part (b)
We have 3 green out of 10 total
<h3>Answer: 3/10</h3>
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Part (c)
3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)
So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.
<h3>Answer: 9/100</h3>
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Part (d)
Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.
(7/10)*(7/10) = 49/100
<h3>Answer: 49/100</h3>
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Part (e)
7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.
(7/10)*(3/10) = 21/100
<h3>Answer: 21/100</h3>
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Part (f)
We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).
<h3>Answer: 21/100</h3>