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IRISSAK [1]
2 years ago
14

Which graph represents the solution set to the system of inequalities?

Mathematics
2 answers:
marta [7]2 years ago
8 0
It should be the top left because the shaded area is below (or less than) the line -3/4x +1 and greater than the other line
malfutka [58]2 years ago
6 0

Answer:

graph 1 represent the solution set.

Step-by-step explanation:

Given  : y < \frac{-3x}{4} +1 and y > \frac{2x}{3} -3 .

To find : Which graph represents the solution set to the system of inequalities.

Solution: We  have given

For  y < \frac{-3x}{4} +1 .

By the slope intercept form y = mx +b

Where m = slope , b = y intercept .

On comparing

slope = \frac{-3}{4} , b = 1 ( graph line cut at y axis at + 1)

Here we can see there is the less than sign show that graph would be dotted line shaded up.

For :  y > \frac{2x}{3} -3 .

slope = \frac{2}{3} , y intercept = -3.

We can see  there is the greater than sign show that graph would be dotted line shaded down.

Therefore, graph 1 represent the solution set.

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Answer:

a

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b

The  population is the registered voters of the  large southwestern state

c

Well this does not adequately represent the population because this sample where selected from only the registered voters of the  large southwestern state  and not the whole country

d

   Yes the result will be nearly the same because

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Step-by-step explanation:

From the question we are told that

   The sample size is  n =  5,500

Considering question a

 What is the population of interest

   The population of interest is the registered voters , this is because  it is the population from which the sample size is selected from.

Considering question b

What is the population from which the sample was selected    

  The  population is the registered voters of the  large southwestern state  

Considering question c

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Well this does not adequately represent the population because this sample where selected from only the registered voters of the  large southwestern state  and not the whole country

Considering question d

   Yes the result will be nearly the same because

  1.    Both samples are selected from the same population
  2.    The size of the  sample selected is sufficiently large to approximate      the population
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