Based on the graphs of the equations y = x + 7 and y = x2 – 3x + 7, the solutions are located at points:

(4, 11) and (0, 7)
(4, 11) and (–7, 0)
(–7, 0) and (1.5, 4.75)
(1.5, 4.75) and (0, 7)

Respuesta :

Answer:

(4, 11) and (0, 7)

Step-by-step explanation:

[tex]y = x + 7 \\ x = 4 \\ y = 4 + 7 \\ y = 11[/tex]

[tex]y = x^{2} - 3x + 7 \\ x = 0 \\ y = {0}^{2} - 3(0) + 7 \\ = 0 - 0 + 7 \\ y = 7[/tex]

(4, 11) and (0, 7) is the right answer

The equations are; y = x + 7 and y = x² - 3·x + 7

At the solution, the u-values are equal, which gives;

y = y

x + 7 = x² - 3·x + 7

x² - 3·x + 7 - (x + 7) = 0

x² - 4·x = 0

x·(x - 4) = 0

x = 4, or x = 0

When x = 4, y = 4 + 7 = 11

When x = 0,

          y = 0 + 7 = 7

The solutions are located at points;

(4, 11) and (0, 7)

What is the equation in the graph?

To find the graphed equation, find the y-intercept and slope and write the equation in the form of the y-intercept (y = mx + b). The slope is the change in y and the change in x.

In graph theory, a graph equation is an equation in which the unknown is a graph. One of the central questions in graph theory is about isomorphic concepts.

The equation is a mathematical statement consisting of two equations connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation gives the value of the variable x as x = 7.

Learn more about graphing linear equation here:https://brainly.com/question/14323743

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