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3 years ago

Consider the solution to the system of inequalities below.

Mathematics

1 answer:

Kay [80]3 years ago

4 0

Answer: y<2

Step-by-step explanation:

Since we can say a functions could be added to the system without changing the solution set if after including it to the system the feasible region of entire system is not affected.

Here, the solution to the system of inequalities is,

y≤ 0.5x+2

y>3x-3

Since after ploting these two enequslties in the graph we get our feasible region.

When we include y > 2 in the system there is no solution of the system.

Therefore it affects the system.

Now when we include y < 2 in the system the solution or feasible region remain same.

Therefore it does not affect the system.

When we include y > 3 in the system there is no solution of the system.

Therefore it affects the system.

When we include line y=3 in the system then the system has no solution.

Therefore, it affects the system.

Thus, second Option is correct.

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Last week Missy read for a total of 240 minutes during this time she read 112 pages at this rate how many pages did she read in

LuckyWell [14K]

Answer:

28 pages

Step-by-step explanation:

240 minutes = 4 hours

240 minutes = 112 pages read

You have to divide by 4 the numbers are in each side, it would be like this:

60 minutes = 28 pages read

60 minutes is equal to an hour

1 hour = 28 pages read

Hope this was helpful :)

8 0

3 years ago

Can someone please take a look at the attachment and tell me what the answer is? Serious answers only please!

siniylev [52]

The solid line indicates that the line itself is included in the solutions. That the shaded area is to the left, or under, the line means that y≤the line.

To find the equation of the line you first find the slope or m using any two points.

m=(y2-y1)/(x2-x1) in this case you are given (2,-5) and (-2, 3) so

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

m=8/-4

m=-2

So far for y≤mx+b we have:

y=-2x+b using either point we can solve for b, I'll use (2,-5)

-5=-2(2)+b

-5=-4+b

-1=b

So the line is:

y=-2x-1 and since y≤ the line:

y≤-2x-1

5 0

4 years ago

I need help pls!!!!!!!!!!??

Lelechka [254]

Answer:

6x+15

Step-by-step explanation:

5 0

3 years ago

At a clothing store , t shirts cost $10 sweatpants cost $15 . If Autum spends $220 after buying 16 items , how many did she buy

Vinvika [58]

Answer:

2 shirts and 14 pants

why it is awnser

it is that because if u do 15×16 u get 240 and if u subtract 10 twice from that u get 220 so

subtract 16 from 2 and that gives u how many pants she bought and the 2 represents the shirts

3 0

3 years ago

A quadrilateral has 2 angles that measure 75 degrees each, and one angle measures 150 degrees. What is the measurement of the 4t

snow_lady [41]

Answer:

60 degrees

Step-by-step explanation:

A quadrilateral is a four-sided polygon, meaning that all four interior angles have to add up to 360 degrees. You already know that the other three angles add up to 300, so the last angle has to be 60 degrees.

7 0

3 years ago

Read 2 more answers