21.01.2023


Match each equation of the piecewise function represented in the graph to its corresponding piece of the domain. Domain 1) 3<x<5
Domain 2) 0<x<2
Domain 3) 2<x<3
Domain 4) x=2

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19.08.2022, solved by verified expert
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For the graph for line y=1, we have x range from 2 to 3.

Therefore,  f(x) = 1     ;      2 < x < 3

f(x) = 5 − x

For the line segment y=5-x, we have starting x value is 3 and last value of 5.

Therefore, f(x) = 5 − x ;   3 < x ≤ 5.

f(x) = 2

f(x) =2 don't fall any x value, because we have hollow dots on y=2.

f(x) = 3

F(x) =3 fall when x=2.

Therefore, f(x)= 3 ; x=2.

f(x) = x

For the line segment y=x, we have starting x value is 0 and last value of 2.

Therefore, f(x) = x;   0 ≤ x < 2.

f(x) = 3 − x

f(x) =3-x don't fall any x value, because we don't have any segment y=3-x there.

Answer: 

1) f(x) = 5 − x ;   3 < x ≤ 5.

2) f(x) = x;   0 ≤ x < 2.

3) f(x) = 1     ;      2 < x < 3.

4) f(x)= 3 ; x=2

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Mathematics
Step-by-step answer
P Answered by PhD
Answer due to the picture below:
Graph A → y=√x.
Graph B → y=(√x) - 1.
Graph C → y=√(x-1).
Graph D → y= -√x.
Graph E → y= -√(x-1)

Step-by-step explanation:
The graph 'A' intercepts the y-axis at (0, 0). Therefore it belongs to the function y=√x.
The graph 'D' is exactly the same graph 'A' but reflected across the x-axis. Therefore, it belongs to the function y=-√x.
The function 'C' is exactly the same function y=√x but translated one unit to the right, therefore, the solution function is y=√(x-1)
The graph 'E' is exactly the same graph 'C' but reflected across the x-axis, therefore the function is: y= -√(x-1)
In the options you have two times the function y=√x
Answer due to the picture below:
Graph A → y=√x.
Graph B → y=(√x) - 1.
Graph C → y=√(x-1).
Graph
Mathematics
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P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
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P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
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P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

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