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lianna [129]
3 years ago
13

Which system of linear inequalities is represented by the graph?

Mathematics
2 answers:
Zina [86]3 years ago
8 0

Answer:

The graph represent the system of linear inequalities y>\frac{1}{3}(x)+3 and 3x-y>2.

Step-by-step explanation:

From the given given graph it is clear that the red line passing through the point (0,3) and (-3,2). The black line passing through the points (0,-2) and (1,1).

If a line passing through two points, then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The related equation of red line is

y-3=\frac{2-3}{-3}(x-0)

y-3=\frac{1}{3}(x)

y=\frac{1}{3}(x)+3

The red line is dotted and shaded potion is upper side of the line, therefore the sign of inequality is >.

y>\frac{1}{3}(x)+3          .... (1)

The related equation of black line is

y-(-2)=\frac{1+2}{1-0}(x-0)

y+2=3x

The black line is dotted and shaded potion is lower side of the line, therefore the sign of inequality is <.

y+2

2

3x-y>2          .... (2)

Therefore the graph represent the system of linear inequalities y>\frac{1}{3}(x)+3 and 3x-y>2.

MrRa [10]3 years ago
5 0

Im not good in math and this is my first question, my best guess is D

I will investigate tommorow this problem a little bit more... <3

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natka813 [3]

The answer is the first one:

bc its not growing by a (-)1/2  and the 3rd one just doesnt make sense

7 0
3 years ago
Read 2 more answers
Pls solve this qn..............ASAP<br> PLS DON'T SPAMMMMM!!
Anni [7]

Probability ( a flowering plant or fruit plant) is  \frac{13}{30} and Probability (neem plant or peepal plant) is  \frac{29}{60}.

Step-by-step explanation:

Given,

Number of neem plant = 125

Number of peepal plant = 165

Number of creppers plant = 50

Number of fruit plant = 150

Number of flowering plant = 110

To find the probability ( a flowering plant or fruit plant)

and probability ( neem or peepal)

Formula

P( A or B) = P(A) + P(B)

Probability ( a flowering plant or fruit plant) = \frac{110}{600} + \frac{150}{600}

= \frac{260}{600} = \frac{13}{30}

And,

Probability (neem plant or peepal plant) = \frac{125}{600} +\frac{165}{600}

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4 0
3 years ago
A chef prepared five chocolate tortes for a dinner party. The guests consumed 2 5/16 tortes. How many
Alenkinab [10]
If you would like to know how many tortes are left, you can calculate this using the following steps:

five chocolate tortes - 2 5/16 tortes = 5 - 2 5/16 = 5 - 37/16 =  80/16 - 37/16 = 43/16 = 2 11/16

The correct result would be D. 2 11/16.
3 0
3 years ago
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1. Solve the equation.<br>4(x + 5) = 24<br><br>​
bixtya [17]

Answer:

x=1

Step-by-step explanation:

4(x+5)= 24

4x+20=24

-20 -20

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4x = 4

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4 4

x= 1

7 0
3 years ago
Read 2 more answers
Jake's mom filled a 2-liter container with juice. Then Jake
tatiyna
Answer: 1.2 liters remain

1 liter = 1000 milliliters
if there’s two liters, that’s 2000 milliliters. the mom then poured 2 glasses each with 400 milliliters, or 800 milliliters in total. 2000 - 800 = 1200. 1200 milliliters converted into liters = 1.2 liters.
6 0
2 years ago
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