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Mamont248 [21]
3 years ago
9

Graph the solution set

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:

Graph by first drawing a horizontal line at 3 on the y axis. Anything below this line falls into the y is less than or equal to 3 range. Draw a vertical line at negative 2 on the x axis. This represents x > -2. The next one is a slanted line, so it'll be trickier to graph. If using a graph of 10 - 10, graph from (-8, -10) to (10, 8). If using a graph of 20 - 20, graph from (-18, -20) to (20, 18). As seen in the graph, anything to the upper left of this line is included.

The true inclusion is where all the ranges intersect. Be sure to color this the darkest or with a special pattern.

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Katherine has 32 pop songs in 72 rock songs on her MP3 player that she will be organizing into paulista. Que want to por an eria
LUCKY_DIMON [66]

Answer: The greatest  number of playlist Katherine can make =8

Each of playlist will have 4 pop songs and 9 rock songs.


Step-by-step explanation:

Given: The number of pop songs Katherine has= 32

The number of rock songs Katherine has= 72

If she want to make playlist such that in each playlist there is equal number of pop and rock songs, we need to find the GCF(greatest common factor) of 32 and 72.

We know that 32=2\times2\times2\times2\times2\\72=2\times2\times2\times3\times3

We can see the GCF(32,72)=2\times2\times2=8

Hence, the greatest  number of playlist Katherine can make =8

The number of pop songs= \frac{32}{8}=4

the number of rock songs=\frac{72}{8}=9

Each of playlist will have 4 pop songs and 9 rock songs.


5 0
3 years ago
Find the number of pairs (a,b) of integers such that<br> a+2/a+5=b/3
Viktor [21]

Answer:

  6

Step-by-step explanation:

The expression can be rearranged to ...

  b = 3 -9/(a+5)

In order for b to be an integer, (a+5) must be an integer divisor of 9. There are exactly 6 of those: ±1, ±3, ±9.

The attached table shows the values (a, b) = (x₁, f(x₁)).

3 0
3 years ago
G(x)=− 4 x 2 ​ +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, start superscript, 2, end superscr
steposvetlana [31]
For this case, what we should do is evaluate the function for different points within the range shown.
 We then have the following table:
 x      g(x) 
 -2    -9
 -1     3
  0     7
  1     3
  2    -9
  3    -29
  4    -57
 From where we observed that the average rate of change is:
 -13
 Answer:
 
the average rate of change of g over the interval [-2,4] is:
 
-13
4 0
3 years ago
For questions 10-11 if l || m, find the values of x and y.
klemol [59]

Answer:

10) 9x - 2° = 5x + 54° (corresponding angles are equal)

9x - 5x = 54 + 2

4x = 56

x = 56/4

x = 14°

10y + 6° = 9x - 2° (linear pair)

10y + 6° = 9(14)° - 2°

10y + 6° = 126° - 2°

10y + 6° = 124°

10y = 124° - 6°

10y = 118

y = 118/10

Sorry, i don't know how to do the 11th question

but hope this helps you!

8 0
2 years ago
Last year Rikki sang 960 songs with his rock band. How many songs did he sing per month? How did you get your answer?
alexira [117]
If he sang the same number of songs each month, he sang 80 songs per month.

960/12 (months) = 80 (songs per month)
6 0
2 years ago
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