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stiv31 [10]
3 years ago
13

Which system of linear inequalities is shown in the graph

Mathematics
1 answer:
artcher [175]3 years ago
4 0

Answer:

The answer to your question is:

x + 2y - 4 ≥ 0     and     2x -y -3 > 0

Step-by-step explanation:

First look for two points of each line to fine the line equations

1 st line points:  (2, 1) ; (0, 2)

2nd line points: (2, 1) ; (3, 3)

1st line slope

                         m = (2 - 1) / (0 - 2) = 1 / -2  = -1/2

2nd line slope

                         m = (3 - 1) / ( 3 - 2) = 2 / 1 = 2

1st line

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

                    2y - 2 = -1(x - 2)

                    2y - 2 = -x + 2

                    x + 2y - 4 = 0        Inequality        x + 2y - 4 ≥ 0

2nd line

                 y - 1 = 2(x - 2)

                 y - 1 = 2x - 4

                 2x -y -3 = 0             Inequality          2x -y -3 > 0

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wel

It means that 15 times another number equals to your equation.


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3 years ago
A serving of rice is 1/3 of a cup. How many servings are there in a 2 1/3-cup bag of rice?
iogann1982 [59]

Answer:

7

Step-by-step explanation:

each cup is 1/3 so divide 2 1/3 by 1/3 to get 7 cups

hope this helps

6 0
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for lyla: a. state which formula should be used to solve this problem. b. write the function for lyla. c. determine how much lyl
tresset_1 [31]

The formula is P=Poe^rt and after 20 years the amount will be $14134.41

For Lyla, the formula used to solve the problem is P=Poe^rt

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  • The exponential function is a type of mathematical function which are helpful in finding the growth or decay of population, money, price, etc that are growing or decay exponentially.
  • Exponents are used in exponential functions, as the name indicates. But take note that an exponential function does not have a constant as its base and a variable as its exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
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To learn more about exponential functions visit

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6 0
1 year ago
The points R(−4, −1) and S(2, −5) are two vertices of right triangle RST. The hypotenuse of the triangle is RS.
Nostrana [21]
      If RS is the hypotenuse of the triangle RST and point T is in Quadrant 3, then point T must be the intersection of the lines: x = - 4 and y = - 5.
       Therefore, the coordinates of point T are ( x, y ) = ( - 4, - 5 ) 
       Answer:
       T ( - 4, - 5 )
6 0
3 years ago
Read 2 more answers
A triangle has side lengths of 11 cm and 7 cm. Which could be the value of the third side, 19 cm or 17 cm ?
9966 [12]

Answer:

By the triangle side length theorem, the sum of the two shorter sides has to be equal to or larger than the third side. Thus, we can write the following inequation.

a

+

b

≥

c

, where a and b are the shorter sides and c the longest.

11, 9 and 15 satisfies this inequality while 11, 9 and 20 doesn't.

Justification:

The reason for this rule is simple; it's because if the longest side is longer than the sum of the two shorter sides, this means that the shorter sides aren't long enough to connect with the longest side, thus rendering the shape a collection of lines and disqualifying the possibility of having a triangle, which was our objective.

Practice exercises:

Which of the following triangles is possible?

a) 4,6 and 14

b) 5,11 and 16

c) 1,3,6

D). 12,19 and 26

Find the smallest possible value of a to make the following an actual triangle :

a

,

14

,

25

Hopefully this helps:

Step-by-step explanation:

8 0
3 years ago
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