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Maru [420]
2 years ago
12

Which ordered pair makes both inequalities true?

Mathematics
1 answer:
Mamont248 [21]2 years ago
7 0

The ordered pair that makes both inequalities true is (4,0).

we have

y<3x-1 ----> inequality A

y > –x + 4----> inequality B

we know that

If an ordered pair is a solution to the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

Verify each ordered pair

case 1) (4,0)

Inequality A

0<3(4)-1 ----> is true

Inequality B

0> –4 + 4 ----> is true

<h3>What is inequality?</h3>

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

So, The ordered pair makes both inequalities true

case 2) (1,2)

Inequality A

2< 3(1) – 1

2<3-1

2<2----> is not true

So the ordered pair does not make both inequalities true

case 3) (0,4)

Inequality A

0 < 3(4) – 1

0<12-1

0<11 ----> is not true

So, the ordered pair does not make both inequalities true

case 4) (2,1)

Inequality A

1< 3(2) – 1

1<6-1

1<5----> is true

Inequality B

1\geq -2+4

1\geq 2 ----> is not true

So the ordered pair does not make both inequalities true.

To learn more about the inequalities visit:

brainly.com/question/24372553

#SPJ1

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Batman slings a 320 ft. climbing cable from a helicopter to his batmobile below. If the cable tightens up
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Answer:

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Step-by-step explanation:

         helicopter

___________________________________________

               |\   54°

               |    \

               |       \    320 ft

               |          \

               |      54°  \

-------------+--------------+-------------------------------

                        x

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2 years ago
Please help for online school
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4

Step-by-step explanation:

The diagram shows that the one triangle can be divided into two equal right triangles.  Because of this, you can use the Pythagorean Theorem to solve this problem.  a and b are the two sides of the angles, and c is the hypotenuse.

The given lengths are 5 as the hypotenuse and 3 as one length.  (You have 3 as a given length because the two triangles have a length of 6  on one side.  6/2 = 3)

a² + b² = c²

a² = c² - b²

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3 years ago
6. A sign in a bakery gives these options:
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Answer:

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2. $0.52

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7 0
2 years ago
Read 2 more answers
PLEASE HELP FAST
skad [1K]

Answer:

The unit vector u is (-5/√29) i - (2/√29) j

Step-by-step explanation:

* Lets revise the meaning of unit vector

- The unit vector is the vector ÷ the magnitude of the vector

- If the vector w = xi + yj

- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w

- The unit vector u in the direction of w is u = w/IwI

- The unit vector u = (xi + yj)/√(x² + y²)

- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j

* Now lets solve the problem

∵ v = -5i - 2j

∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29

- The unit vector u = v/IvI

∴ u = (-5i - 2j)/√29 ⇒ spilt the terms

∴ u = (-5/√29) i - (2/√29) j

* The unit vector u is (-5/√29) i - (2/√29) j

8 0
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