The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution? (−1, 1) (1, −1) (3, 2) (2, 3)

Question

13-12-2018
Mathematics

contestada

The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution? (−1, 1) (1, −1) (3, 2) (2, 3)

Respuesta :

Otras preguntas

Thelma is Information Technology Manager. Which of the following is an example of her line functions? O training new employees O voting on the board of director

Robin is single and purchases a new home for $80,000 in 2018. She pays $8,000 down and borrows the remaining $72,000 by securing a mortgage on the home. Robin p

Miller has a painting that is 4 ft by 8 ft. What will the dimensions of the painting be if he scales it down by a factor of ?

People in other countries who heard about the_____ wanted to come here to live. Freedoms in America Social life in America Food in America

A thin layer of gasoline floating on water appears brightly colored in sunlight. From where do the colors come? 1..the interference of light waves reflected fro

Question 3The two 'B's of the media areA Books and BrainsB Brains and BusinessC Business and Books--D Business and Biased

You and your co-worker Jake are operating a BVM during multiple-provider CPR for an adult. You manage the airway while Jake delivers ventilations. Which stateme

-What constitutional principle prevents the tyranny that James Madison describes in the quotation below from taking place? "The accumulation of all powers, legi

PRACTICING SOCIAL STUDIES SKILLS Study the document below and answer the question that follows. A graphic titled Primary Source, Historic Document, The Benedict

Bingerton Industries uses a perpetual inventory system. The company began the year with inventory of $78,000. Purchases of inventory on account during the year

Аноним Аноним · Answer 1 · 2018-12-13T21:12:36+01:00

Answer:

(3,2)

Step-by-step explanation:

You can substitute or you can see which ordered pair is in the shaded area.

(-1,1):

y ≤ 2x - 4

1 ≤ 2(-1) - 4

1 ≤ -2 - 4

1 ≤ -6

(-1,1) is NOT a solution.

(1,-1):

y ≤ 2x - 4

-1 ≤ 2(1) - 4

-1 ≤ 2 - 4

-1 ≤ -2

(1,-1) is NOT a solution.

(3,2):

y ≤ 2x - 4

2 ≤ 2(3) - 4

2 ≤ 6 - 4

2 ≤ 2

(3,2) IS a solution.

(2,3):

y ≤ 2x - 4

3 ≤ 2(2) - 4

3 ≤ 4 - 4

3 ≤ 0

(2,3) is NOT a solution.

johanrusli johanrusli · Answer 2 · 2019-09-12T04:54:39+02:00

Point ( 3,2 ) is one of the solution.

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

[tex]\boxed {\large {m = \frac{y_2 - y_1}{x_2 - x_1}} }[/tex]

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

[tex]\boxed {y - y_1 = m ( x - x_1 )}[/tex]

Let us tackle the problem.

This probem is about Linear Inequality.

Given:

y ≤ 2x − 4

To determine which point is a solution , we could plot the points on the graph. The point that is in the shaded region will be the solution.

Let: point A (-1,1) , B (1,-1) , C (3,2) , D (2,3).

As shown in the graph in the attachment, from the four known points, only point C(3,2) is inside the shaded area.

∴ Point C is one of the solution of y ≤ 2x − 4

Learn more

Infinite Number of Solutions : https://brainly.com/question/5450548
System of Equations : https://brainly.com/question/1995493
System of Linear equations : https://brainly.com/question/3291576

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point