Caroline's hair is

1 answer:

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The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10

<h3>What is an equation? </h3>

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the number of months.

For Caroline's hair:

Length = (1/5)x + 7

For Trinity's hair:

Length = (1/10)x + 10

For Caroline's hair to be at least as long as Trinity's hair, hence:

(1/5)x + 7 ≥ (1/10)x + 10

The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10

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The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which

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Answer:

The option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>

Step-by-step explanation:

As the domain of f(x) is the set of all real values except 7. So it can be written as follows:

Domain of f(x) = { x ∈ R | x ≠ 7}

As the domain of g(x) is the set of all real values except -3. So it can be written as follows:

Domain of g(x) = { x ∈ R | x ≠ -3}

It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.

So, the option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>

Keywords: domain, composite function

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Answer:

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