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sweet [91]
3 years ago
15

What is the domain of the function y = 2 sqrt x-5

Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0

35 definition 7=2 and x=-5

Rufina [12.5K]3 years ago
4 0
<h2>Answer:</h2>

The domain of the given function is:

                  x\geq 5 i.e. [5,∞)

<h2>Step-by-step explanation:</h2>

Domain of a function--

The domain of a function is the set of all the possible values of x for which the function is defined.

That is it is the collection of all the points except the excluded values of the function.

The function f(x) is a square root function which is given by:

          f(x)=2\sqrt{x-5}

We know that the domain of the function depends on the domain of the square root quantity.

We know that: a square root function is well defined when the quantity under the square root is non-negative

i.e.

x-5\geq 0\\\\i.e.\\\\x\geq 5

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3 years ago
What are some real life situations using system of equations?
OlgaM077 [116]
Bob's car rental company makes you pay 10 dollars per day you rent the car and a 30 dollar insurance fee

joe's car rental company makes you pay 30 dollars per day you rent the car and a 10 dollar insurance fee

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bob=10x+30
joe=30x+10
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10x+30=30x+10
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30=20x+10
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20=20x
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3 0
3 years ago
There are 37 more cats than dogs in an animal shelter. If there are 78 cats at he shelter, how many dogs are there?
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Read 2 more answers
A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides is to be made of material t
sergeinik [125]

The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft

<h3>How to maximize area?</h3>

Let the length of the rectangular area be x feet

Let the width of the area = y feet

Area of the rectangle = xy square feet

Or xy = 320 square feet

y = 320/x  -----(1)

Cost to fence the three sides = $6 per foot

Therefore cost to fence one length and two width of the rectangular area

= 6(x + 2y)

Similarly cost to fence the fourth side = $13 per foot

So, the cost of the remaining length = 13x

Total cost to fence = 6(x + 2y) + 13x

Cost (C) = 6(x + 2y) + 13x

C = 6x + 12y + 13x

C  = 19x + 12y

From equation (1),

C = 19x + 12(320/x)

C' = 19 - 3840/x²

At C' = 0, we have;

19 - 3840/x² = 0

19 = 3840/x²

19x² = 3840

x² = 3840/19

x = √(3840/19)

x = 14.22 ft

y = 320/14.22

y = 22.5 ft

Read more about Maximization of Area at; brainly.com/question/13869651

#SPJ1

8 0
1 year ago
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