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Anna [14]
3 years ago
12

Plz, help me!!! Write each interval as an inequality. Then graph the solutions. (–∞,5)

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

The interval notation given to us means that x is between negative infinity and 5, excluding both endpoints.

So we can write -\infty < x < 5 which shortens to x < 5

The graph will have an open hole at 5 on the number line, and shading to the left to indicate all points smaller than 5.

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Simplify the following expression:<br> 4 + b ( 12 - 3 ) - 2b
kifflom [539]

Answer:

4+7b

Step-by-step explanation:

4+ (b*12)+(b*-3)-2b

4+12b-3b-2b

4+12b-5b

7+7b

8 0
4 years ago
Read 2 more answers
3. A rabbit and turtle are in a race. Is the relationship between distance
frutty [35]

Answer:

The relationship is proportional for the turtle and the equation is Distance = 54*Time

Step-by-step explanation:

Turtle’s run:

Distance (meters) | Time (minutes)

108                        | 2  

405                       | 7.5

540                       | 10

1768.5                   | 32.75

Rabbitt’s run:

Distance (meters) | Time (minutes)

800                       | 1  

900                       | 5

1107.5                    | 20

1524                      | 32.5

The relationship between distance traveled and time is proportional if this equation is satisfied:  

Distance = k*Time or k = Distance/Time

where k is a constant

For the turtle:

108/2 = 405/7.5 = 540/10 = 1768.5/32.75 = 54

Then, the relationship is proportional and the equation is Distance = 54*Time

For the rabbit:

800/ 1 = 800  

900/5 = 180

1107.5/20  = 55.375

1524/32.5  = 46.89

Then, the relationship is not proportional.

7 0
3 years ago
if a bike race covers 120 mi over 6 days and the cyclists ride the same distance every day how many miles does each cyclist ride
Strike441 [17]
120/6= 20
they ride 20 miles each day
3 0
3 years ago
You can fill a 12-gallon tank of gas for $48.74 or buy gas for $3.80/gallon (round to the nearest cent as needed
frozen [14]
Fill 12 gallon tank for $48.74.
or buy gas for $3.80 a gallon.

$3.80 x 12= $45.60.

buying gas is cheaper by $3.14.
8 0
4 years ago
What is the equation of the axis of symmetry of the graph of y-ax? +bx+c?
Svetllana [295]

Answer:

x= -b/2a

Step-by-step explanation:

hello :

 y = ax²+bx+c .... (a≠0)

the equation of the axis of symmetry of this graph is : x= -b/2a

6 0
4 years ago
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