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Ber [7]
3 years ago
7

HELPPPPPPPPPP :(

Mathematics
1 answer:
mariarad [96]3 years ago
3 0

Answer:

B its B

Step-by-step explanation:

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Which linear inequality is represented by the graph? (A)y ≤1/3 x − 1 (B)y ≥ x − 1 (C)y < 3x − 1 (D)y > 3x − 1
lubasha [3.4K]

The equation of the line is \boxed{y \geqslant \frac{1}{3}x - 1}.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

\boxed{y = mx + c}

The formula for slope of line with points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right) can be expressed as,

\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}

Given:

Explanation:

The line intersects y-axis at \left( {0, - 1} \right). Therefore, the y-intercept is -1.

The line passes through the points \left( {0, - 1} \right) and \left( {3,0} \right).

The slope can be obtained as follows,

\begin{aligned}m&= \frac{{0- \left( {- 1} \right)}}{{3 - 0}}\\&= \frac{1}{3}\\\end{aligned}

Substitute \dfrac{1}{3} for m, 3 for x and 0 for y in equation y = mx + c to obtain the value of c.

\begin{aligned}0& \frac{1}{3} \cdot 3 + c\\- 1&=c\\\end{aligned}

To check whether the equation includes origin substitute 0 for x and 0 for y in equation y \geqslant \dfrac{1}{3}x - 1.

\begin{aligned}0&\geqslant \frac{1}{3} \times 0 - 1 \\0&\geqslant - 1\\\end{gathered}

The statement is true. The equation contains origin.

The equation of the line is \boxed{y \geqslant \frac{1}{3}x - 1}.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

7 0
3 years ago
Read 2 more answers
The product of 4 and the sum of a number x and 8
Mademuasel [1]

Answer:

4(x+8)

Step-by-step explanation:

hope this helps

Then if you want to know the value of x.

This is the solution 4(x+8)

4x+32 to find the x divide both by side by 4.

4x/4+32/4

x=8

7 0
3 years ago
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From the moment the first car started how many hours will it take the second car to catch up to the first
Rina8888 [55]

Answer:

HELP

Step-by-step explanation:

3 0
3 years ago
Y=2x+6 and y=-3x+16 for solving the system
Butoxors [25]
Substitution

Step 1: Solve for x or y in either of the two equations. In the equations that you are given, y is already solved for you.

Step 2: Plug in 2x + 6 into the opposite equation.

   2x + 6 = -3x + 16
         - 6              - 6
------------------------------
   2x = -3x + 10
+ 3x  + 3x
------------------------------
   5x  =  10
 ------   ------
    5        5

x = 2

Step 3: Plug in the x value into either equation.

y = 2(2) + 6
y = 4 + 6
y = 10

The final answer gets expressed as a coordinate pair: (x,y) (2,10)

I hope this helps you :)




4 0
2 years ago
This is past due I need help will give brainlist
Licemer1 [7]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
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