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svlad2 [7]
3 years ago
6

S

Mathematics
1 answer:
Rudiy273 years ago
6 0

Answer:

<h2>(3, -2)</h2>

Step-by-step explanation:

Put the coordinates of the points to the inequality and check:

y < -1/2x + 2

for (2, 3) → x = 2, y = 3

3 < -1/2(2) + 2

3 < -1 + 2

3 < 1     FALSE

============================

for (2, 1) → x = 2, y = 1

1 < -1/2(2) + 2

1 < -1 + 2

1 < 1    FALSE

============================

for (3, -2) → x = 3, y = -2

-2 < -1/2(3) + 2

-2 < -1.5 + 2

-2 < 0.5      TRUE

============================

for (-1, 3) → x = -1, y = 3

3 < -1/2(-1) + 2

3 < 1/2 + 2

3 < 2 1/2      FALSE

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How do you find the sides of a trangle when you already have your hypotenuses
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5 0
3 years ago
Stacey, Mia, and Harper want to make invitation cards for the annual school dance. It would take Stacey and Mia 4 hours each to
Reptile [31]

The rate of doing work is the ratio of work and time. The time it will take for all of them to make the invitation cards is 1.2 hours.

<h3>What is the relation between work, rate, and time?</h3>

The rate of doing work is the ratio of work and time. Therefore, the relation between the work, rate of doing work and time is,

Rate of doing work = Work / Time

Assume the total work to be represented by x.

Given that It would take Stacey and Mia 4 hours each to do the job. Therefore, the rate at which Stacey and Mia both work can be written as,

Stacey's rate of working = Mia's rate of working = Work/time = x/4

Also given that Harper alone could do the job in 3 hours. Therefore, the rate at which Harper will work is,

Harper's rate of working = x/3

Now, the rate at which the three of them will work together is,

Rate of all three = (x/4) + (x/4) + (x/3)

                           = (3x/12) + (3x/12) + (4x/12)

                           = 10x/12

                           = 5x/6

Further, the time it will take for all of them to make the invitation cards are,

Time = Work/ Rate of working

Time = x/(5x/6) hours

Time = 6x/5x hours

Time = 1.2 hours

Hence, the time it will take for all of them to make the invitation cards is 1.2 hours.

Learn more about Work, time and rate here:

brainly.com/question/23308203?referrer=searchResults

#SPJ1

5 0
1 year ago
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