Please help this is timed

Write the equation of the piecewise function ƒ that is represented by its graph.

igomit [66]

Answer:

$\left \{ {{f(x)=2;\text{ For }0\leq x1}} \right.$

Step-by-step explanation:

We have been given graph of a piece-wise function. We are asked to write the equation for the given piece-wise function.

We can see that for x values greater than or equal to 0 and less than 1, the function is a line.

We can see that our given line is a horizontal line, so it will be in form $y=C$ intersecting y-axis at $(0,C)$ .

The given crosses y-axis at (0,2), therefore, its equation would be $y=2$ .

We can see that for x values greater than 1, the graph is a reflected and shifted square root function.

The square root function is reflected across x-axis and has a vertex at (1,1), therefore, our function for second part would be $y=-\sqrt{x-1}+1$ .

The function is not defined at $x=1$ and it can a jump continuity.

Therefore, our required piece-wise function would be:

$\left \{ {{f(x)=2;\text{ For }0\leq x1}} \right.$

4 0

4 years ago

you and your friend start biking to opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend tr

juin [17]

Answer:

To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.

15 mins x 60 seconds = 900 seconds.

Step-by-step explanation:

In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.

112.5 x 108 = 12150 feet

12150 feet/5280 feet is approximately 2.3 miles.

For your friend you take 900/6 = 150 groups of 6 seconds.

150 x 63 = 9540 feet

9540 feet/5280 feet = 1.79 miles

1.79 miles + 2.3 miles = 2.09 miles

You and your friend are about 2.09 miles apart after 15 minutes.

B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more

3.07 + 2.3 = 5.37 miles after 40 minutes (you).

Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes

0.6 x 5 (5 x 5 = 25 minutes)= 3 miles

1.79 + 3 miles= 4.79 miles (friend)

4.79 + 5.37 = 10.16 miles

You and your friend are about 10.16 miles apart after 40 minutes.

5 0

3 years ago

Which symbols correctly relates the 2 numbers 55?35

Sholpan [36]

Answer:

>

Step-by-step explanation:

55 is greater than 35, so the open "mouth" of the greater than sign should go towards 55.

8 0

4 years ago

Read 2 more answers

Help me with this Q and please write how you founded the answer

faust18 [17]

Answer:

Step-by-step explanation:

If we look at the picture,we can see that n<22

So the correct answer will be 22

7 0

3 years ago

Round it to 1 significant figure

balu736 [363]

Answer:

2 ( one significant figure)

Step-by-step explanation:

798/8 x 41 in order to express it in 1 significant figure

we will multiply the denominator and then divide both the numerator and denominator.

so,

798/328

2.453

now to one significant figure it will be 2

3 0

4 years ago