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Feliz [49]
2 years ago
8

Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).

Mathematics
1 answer:
REY [17]2 years ago
8 0

Answer:

E) None of the above

Step-by-step explanation:

Given f(x)=\sqrt{x} and g(x)=x+2, then f(g(x))=\sqrt{x+2}. This shifts the graph of the parent function f(x)=\sqrt{x} 2 units to the left. Thus, the domain of the function is [-2,\infty), making none of the above true.

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The code for a lock consists of 3 digits using the digits: 1,2,4,7,8,9. How many different codes are possible if no digit may be
hodyreva [135]

Answer:

279

Step-by-step explanation:

8 0
3 years ago
Out of 52, 62, 70, 82, 78, 66, the numbers that have 13 as factors are ?
inysia [295]
Answer:

52,78

Step by step explanation:

Out of 52, 62, 70, 82, 78, 66 only have 52,78 are the only numbers with have 13 as a factor

(13x4=52) & (13x6=78)
8 0
3 years ago
Read 2 more answers
Two trains leave towns 1490 kilometers apart at the same time and travel toward each other. One train travels 20 km/h slower tha
antiseptic1488 [7]

Answer:

the rate of each train is 139 km/h and 159 km/h.

Step-by-step explanation:

let

v = the rate of the slower train

v + 20 = the rate of the faster train

d = 1490 km the distance that the two train will travel

t = 5 hr the time of the travel

since speed = distance/time => distance = speed*time

v*t + (v+20)t = d

5v + 5(v + 20) = 1490

5v+5(v+20)=1490

Step 1: Simplify both sides of the equation.

5v+5(v+20)=1490

5v+(5)(v)+(5)(20)=1490(Distribute)

5v+5v+100=1490

(5v+5v)+(100)=1490(Combine Like Terms)

10v+100=1490

10v+100=1490

Step 2: Subtract 100 from both sides.

10v+100−100=1490−100

10v=1390

Step 3: Divide both sides by 10.

10v/10 = 1390/10

v = 139km/h

Next

we add 139 to 20

139 + 20 = 159 km/h

the rate of each train is 139 km/h and 159 km/h.

7 0
2 years ago
Find the area of the composite figure​
ehidna [41]
<h3>62.5 cm^2</h3>

The figure is a trapezoid, albeit not possessing the same lengths for the left and right sides. If I'm not mistaken, it has another name or term. But I forgot.

Anyway, to solve the problem, let us chop-chop or break the figure into two parts or two polygons that we are familiar with - a rectangle and a triangle. See the attached image for a clearer presentation.

After breaking the original polygon into two parts as portrayed by the red broken line, we are also going to divide the equivalent value of each side.

Remember, a rectangle has two pairs of common sides. Since the upper side of the polygon has a length of 10 cm, then, the length of the lower side (the side at the left side of the broken line) is 10, too. The same goes for the length of the left side which is 5 cm, and therefore the length of the broken line is 5 cm. Please refer to the attached image, particularly the figures in green.

From the standpoint of the triangle, based on thee figure, it has a height of 5 cm and a base of 5 cm (15 cm- 10 cm). Did you get it? If yes, let's continue.

Solving Time! :D

1. Solve for the area of the rectangle.

\begin{gathered}A_{rectangle}=L\times W\\=5\ cm \times 10\ cm\\=\bold{50\ cm^2}\end{gathered}

Arectangle=L×W=5 cm×10 cm=50 cm²

2. Solve for the area of the triangle.

\begin{gathered}A_{triangle}=\dfrac{b\times h}{2}\\=\dfrac{5\ cm\times5\ cm}{2}\\=\dfrac{25\ cm^2}{2}\\=\bold{12.5\ cm^2}\end{gathered}

Atriangle=2b×h=25 cm×5 cm=225 cm²=12.5 cm²

3. Combine (add) the two areas to find the area of the original figure.

\begin{gathered}A_{composite\ figure}=A_{rectangle}+A_{triangle}\\=50\ cm^2 +12.5\ cm^2\\=\bold{62.5\ cm^2}\end{gathered}

Acomposite figure=Arectangle+Atriangle=50 cm²+12.5 cm2=62.5 cm

If there's a Latex Error, Please click the second image attached below :)

4 0
2 years ago
If 2+12=18, find the value of 3−13.
mojhsa [17]

Answer:

-10

Step-by-step explanation:

3-13=-10

6 0
3 years ago
Read 2 more answers
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