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Snowcat [4.5K]
2 years ago
10

Which linear inequality is represented by the graph?

Mathematics
1 answer:
Effectus [21]2 years ago
7 0

Answer:

The equation of the line is y ≥ 1/3(x)-1

Step-by-step explanation:

Given

The line intersects y-axis at (0,-1). Therefore, the y-intercept is -1

The line passes through the points (0,-1)  and (3,0)

The slope can be obtained as follows,

m = <u>0-(-1)</u>

        3-0

    = 1/3

The linear equation with slope and intercept  is given as follows.

y = mx + c

Substitute 1/3 for m, 3 for x and 0 for y  in equation  to obtain the value of

c .

0 = 1/3 *3 + c

c= -1

To check whether the equation includes origin substitute 0 for x and 0 for y in equation

Therefore, y≥ mx+c

                      = 1/3*x-1

Hence, Linear inequality represented is y ≥ 1/3(x) -1

Learn more at below link:

brainly.com/question/4276177

#SPJ10

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The market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product durin
4vir4ik [10]

Answer:

number of people who will purchase next month = 250

the number of people who will purchase in 2 month = 325

Step-by-step explanation:

Data provided in the question:

people who purchase the plant's product during any month will not purchase it the next month = 30%

therefore, people who purchase the plant's product during any month will purchase next month = 70%

people who do not purchase the product during any month will purchase it the next month = 20%

Total number of people = 1000

Number of people who purchased this month = 100

Number of people who did not purchase = 1000 - 100 = 900

therefore,

the number of people who will purchase next month

= 70% of 100 + 20% of 900

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now,

the number of people who will purchase in 2 month

= 70% of (number of people who will purchase next month) + 20% of (number of people who did not purchase next month)

= 70% of 250 + 20% of (1000 - 250)

= 0.70 × 250 + 0.20 × 750

= 175 + 150

= 325

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