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svetlana [45]
3 years ago
11

Which system of linear inequalities is represented by the graph?

Mathematics
2 answers:
NARA [144]3 years ago
7 0

Answer:

y > (2/3) x + 3 and y <= - (1/3) x + 2

Step-by-step explanation:

azamat3 years ago
6 0

Answer:

The system of linear inequalities represented by the graph is:

y > (2/3) x + 3 and y <= - (1/3) x + 2

Step-by-step explanation:

In the graph we can see the region on and below the red line, and above the black dashed line.

1) The red line goes through the points:

P1=(0,2)=(x1,y1)→x1=0, y1=2

P2=(3,1)=(x2,y2)→x2=3, y2=1

The slope of this line is:

s=(y2-y1)/(x2-x1)

Replacing the known values:

s=(1-2)/(3-0)

s=(-1)/(3)

s=-(1/3)

The equation of the red line is:

y-y1=s(x-x1)

y-2=-(1/3)(x-0)

y-2=-(1/3)x

y-2+2=-(1/3)x+2

y=-(1/3)x+2

The area on and below the red line is: y<=-(1/3)x+2

2) The black dashed line goes through the points:

P1=(-3,1)=(x1,y1)→x1=-3, y1=1

P2=(0,3)=(x2,y2)→x2=0, y2=3

The slope of this line is:

s=(y2-y1)/(x2-x1)

Replacing the known values:

s=(3-1)/(0-(-3))

s=(2)/(0+3)

s=(2)/(3)

s=(2/3)

The equation of the red line is:

y-y2=s(x-x2)

y-3=(2/3)(x-0)

y-3=(2/3)x

y-3+3=(2/3)x+3

y=(2/3)x+3

The area above the black dashed line is: y>(2/3)x+3

Then, the system of linear inequalities represented by the graph is:

y>(2/3)x+3 and y<=-(1/3)x+2

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Find the first four terms of the recursive sequence defined by the following formula: an = an-1 4 where a4 = 2 1 4 , , , 2 1 4.
Elina [12.6K]

The first four-term of the sequence is found by the given equation a_{n-1} = 4a_n is given as 144, 36, 9, and 9/4.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The given equation will be

\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n

And

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For n = 4, we have

\rm a_{4-1} = 4a_4\\\\a_3 \ \ \  = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9

For n = 3, we have

\rm a_{3-1} = 4a_3\\\\a_2 \ \ \  = 4*9 \\\\ a_2 \ \ \ = 36

For n = 2, we have

\rm a_{2-1} = 4a_2\\\\a_1 \ \ \  = 4*36 \\\\ a_1 \ \ \ = 144

More about the sequence link is given below.

brainly.com/question/21961097

7 0
2 years ago
Vote for the best representation of 1 3/4
maks197457 [2]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 1 3/4 = 1.75

Your answer is 1.75

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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