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zavuch27 [327]
3 years ago
14

Express the function graphed on the axes below as a piecewise function.

Mathematics
1 answer:
dangina [55]3 years ago
8 0

Answer:

y = 2/3x +6  for x< -3

y = 2/3x +1     for x> 3

Step-by-step explanation:

The graph is a line for  x < -3

( - 6,2) and ( -3,4)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point ( -6,2)

y -2 = 2/3(x - -6)

y -2 = 2/3(x +6)

y-2 = 2/3 x +4

y = 2/3x +6 x< -3

The graph is a line for  x > 3

(3,3) and ( 6,5)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 5-3)/(6-3) = 2/ (3) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point (6,5)

y -5 = 2/3(x - 6)

y-5 = 2/3 x -4

y = 2/3x +1   x> 3

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Which ratios approximate pi ​(​)?
kramer

9514 1404 393

Answer:

  A: 66/21

  E: 22/7

Step-by-step explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

  A: 66/21 = 22/7 = 3 1/7

  B: 60/20 = 3

  C: 21/7 = 3

  D: 45/15 = 3

  E: 22/7 = 3 1/7

___

<em>Comment on pi approximations</em>

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.

5 0
3 years ago
Train A and train B leave the station at 2 pm. The graph below shows the distance covered by the two trains. Compare the two spe
jarptica [38.1K]

Both trains travel for 7 time units.

Train A travels 385 distance units, so its speed is

\dfrac{385}{7}=55

Train B travels 577.5 distance units, so its speed is

\dfrac{577.5}{7}=82.5

Note that the units are not specified, but considering that we're talking about trains, the graph is likely to be showing distance in km (or miles) and time in hours.

Also, the distance traveled by train B is not perfectly aligned with the grid, so I assumed that it was the average between the two ticks of 550 and 605.

7 0
3 years ago
What is the same as 15.39÷100
marysya [2.9K]

1.539 divided by 10 which equal to 0.1539

7 0
2 years ago
Order these numbers from least to greatest:<br> |-17|<br> |-18|<br> -18<br> |19|<br> 20
victus00 [196]

Answer:

-18, |-17|, |-18|, |19|, 20

Step-by-step explanation:

the absolute value of -17 is 17, the absolute value of -18 is 18, and the absolute value of 19 is just 19. Absolute values are never negative.

Hope this helps!

5 0
3 years ago
A bag is filled with green and blue marbles. There are 105 marbles in the bag. If there are 25 more green marbles than blue marb
Talja [164]

Answer:

Step-by-step explanation:

we have 105 marbles

number of blue marbles= x

green marbles= x+25

x+x+25=105

2x=105-25

2x=80

x=40 blue marbles

3 0
3 years ago
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