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Mathematics

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Identify the composite function and its domain

creativ13 [48]

$f(g(x))=f(\sqrt{x-2})$
$f(g(x))=3(\sqrt{x-2})^{2}+4$
$f(g(x))=3(x-2)+4$
$f(g(x))=3x-6+4$
$f(g(x))=3x-2$

Domain:
g(x) must be greater than or equal to zero (no square roots of negative numbers) therefore x must be greater than or equal to 2. Answer is B.

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3 years ago

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Barry Allen's older brother is only 3 years more than triple Barry's age. If the sum of their ages is 28, find their ages

Sloan [31]

B and a
barry=b
a=older bro

a is 3 more than 3b
a=3+3b
sum is 28
a+b=28
3+3b+b=28
3+4b=28
minus 3 both sides
4b=25
divide both sides by 4
b=6.25

a=3+3b
a=3+3(6.25)
a=3+18.75
a=21.75

barry=6.25 years
21.75 years=older bro

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3 years ago

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The table represents a proportional relationship. Give the constant of proportionality, and write an equation that represents th

nignag [31]

Answer:

The constant is: 3.14

Multiplying 2 by 3.14 which would get you to 6.28

Multiply each one by 3.14

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3 years ago

Solve PV = nRT for R.