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Rainbow [258]
2 years ago
5

Find the domain and range of the function without graphing. Explain how you found your answers.

Mathematics
1 answer:
telo118 [61]2 years ago
8 0

Using it's concepts, it is found that the domain and the range of the function are given as follows:

  • Domain: [4, \infty).
  • Range: [0, \infty).

<h3>What are the domain and the range of a function?</h3>

  • The domain of a function is the set that contains all the values of the input.
  • The range of a function is the set that contains all the values of the output.

In this problem, the function is:

y = \frac{1}{3}\sqrt{x - 4}

The square root exists only for non-negative values, hence the domain is found as follows:

x - 4 \geq 0 \rightarrow x \geq 4

The result of the square root function is never negative, hence the range of the function is y \geq 0.

More can be learned about domain and range at brainly.com/question/27903311

#SPJ1

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If the ratio of wiping is the green peas is 2 to 8 and there are a total of 30 pens how many pens are white
kaheart [24]
2x+8x=30. x= #of pens

10x=30. combine like terms

x=3. divide by 10 to isolate (get by itself) x

2(3)=6. the # of white pens are represented by 2x

6 white pens



hope this helped!
8 0
3 years ago
In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
allsm [11]

Answer:

71^{\circ}

Step-by-step explanation:

Since two sides of the triangle are equal in length, we can conclude that \triangle WXY is an isosceles triangle. With this information, we can draw an isosceles triangle to find m\angle W. Since the base angles of an isosceles triangle are equal, we can solve for m\angle W:

38 + m\angle W + m\angle Y = 180 (Angle sum of triangle is 180^{\circ})

38+2(m\angle W) = 180 (Base angles of isosceles triangles are equal, there is an image attached to show that m\angle W is one of the base angles)

2(m\angle W) = 142

m\angle W=71^{\circ}

Hope this helps :)

5 0
3 years ago
Find the percent of decrease. Round to the nearest tenth, if necessary. from 49 ft to 22 ft
Marta_Voda [28]
Decrease = (original number - new number) / original number .....x 100
decrease = (49 - 22) / 49.....* 100 =
                    (27 / 49) * 100 =
                     2700 / 49 = 55% decrease
                   
4 0
3 years ago
Distance between the points (2,10) and (-4,2) in the xy-plane
telo118 [61]
It's 4/3 because of the distance formula
6 0
3 years ago
1. What is the simple interest on $4,500 for 2 and a half years at 4% per year?
allochka39001 [22]

Answer: 1st is 180$ sorry if I’m wrong

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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