Find the domain of

Mathematics

1 answer:

ch4aika [34]4 years ago

6 0

Answer:

C (x ≥ -6)

Step-by-step explanation:

<u>Algebraic:</u>

The domain of $\sqrt{x}$ is $x\geq 0$ . When transformed 6 units to the left, it becomes $x\geq -6$

<u>Graphically:</u>

As shown in the attached graph, $x\geq -6$ .

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Answer:

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Step-by-step explanation:

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Nando is on a rehabilitation program following a car accident. For the first month, he needs to exercise at most five hours per

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Answer:

See explanation

Step-by-step explanation:

Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.

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$x+y\le 5$

Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.

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$350x+700y\ge 2,000$

You get the system of two inequalities:

$\left\{\begin{array}{l}x+y\le 5\\ 350x+700y\ge 2,000\end{array}\right.$

The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.