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1 year ago

What is the domain of the function y = square root x+6 -7?

Mathematics

1 answer:

salantis [7]1 year ago

8 0

Answer:

-6 ≤ x < ∞

Step-by-step explanation:

You want the domain of the function y = √(x+6) -7.

<h3>Domain</h3>

The domain of a function is the set of x-values for which the function is defined. On a graph, it is the horizontal extent of the graph.

The square root function is undefined for negative arguments, so that limits the domain of the given function:

x+6 ≥ 0

x ≥ -6 . . . . . domain of the given function

<em>Additional comment</em>

When the domain is written in interval notation, both the left and right ends of the interval must be specified.

[-6, ∞)

The square bracket identifies -6 as being part of the domain. The parenthesis is used with ∞, because that number has no specific value.

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2 years ago

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Answer:

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2 years ago

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2 years ago

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2 years ago

In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of

ella [17]

Using a linear function, we have that:

a) The fixed cost is of $10.

b) The equation is: C = 10 + 12d.

c) The cost of an 18 km trip is $226.

d) The distance traveled is of 20 km.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:

C(d) = 12d + b

70 = 60 + b

b = 10.

Hence the equation is:

C(d) = 12d + 10.

For a trip of 18 km, d = 18, hence the cost is:

C(12) = 12 x 18 + 10 = $226.

When the cost is of $250, the distance is found as follows:

250 = 12d + 10

12d = 240

d = 240/12

d = 20 km.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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11 months ago