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Harman [31]
2 years ago
5

Solve the system. Please help!

Mathematics
1 answer:
Rufina [12.5K]2 years ago
4 0

Answer:

y = 3, -3

x = 6, -6

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.

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3 years ago
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The absolute value of .375 + -5/8
DENIUS [597]
The real answer is -0.25
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Can someone help me.
Helen [10]

The solutions of the equations for x are given as follows:

a. x = 36.

b. x = 15.

<h3>What is the solution for item a?</h3>

The equation for item a is given by:

x/3 - 5 = 7

Isolating x, we have that:

x/3 = 12

x = 3 x 12

x = 36.

<h3>What is the solution for item b?</h3>

The equation for item b is given by:

x/2 - 5 = 2.5

Isolating x, we have that:

x/2 = 7.5

x = 7.5 x 2

x = 15.

Hence the solutions are:

a. x = 36.

b. x = 15.

More can be learned about equations at brainly.com/question/25537936

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How to find a missing angle
Tju [1.3M]
We can use two different methods to find our missing angle:
Subtract the two known angles from 180° :
Plug the two angles into the formula and use algebra: a + b + c = 180°
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Answer:

$0.30

Step-by-step explanation:

6 / 20

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Best of Luck!

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