Question

Постройте график функции y=2-6a)С помощью построенного графика решите уравнение 2x-6=0б)Выделите ту часть графика, которая соответствует условию y<0.При каких значениях аргумента функция принимает отрицательные значения?в)С помощь графика решите неравенство 2x-6<или=0г)Решите неравенство 2x-6>или=0P.S объясните как это надо решать пожалуйста!)

Answer 1

У=2-6
у=-4
а) 2х-6=0
2х=6
х=6:2
х=3
остальное если смогу напишу

Answer 2

Graphing the Function y = 2 - 6a

To graph the function y = 2 - 6a, we can plot points on a coordinate plane and connect them to form a line. Let's start by choosing some values for the variable 'a' and calculating the corresponding values of 'y'.

| a | y | |---|---| | 0 | 2 | | 1 | -4 | | 2 | -10 | | 3 | -16 |

Now, let's plot these points on a graph:


Solving the Equation 2x - 6 = 0

To solve the equation 2x - 6 = 0, we need to find the value of 'x' that satisfies the equation. We can do this by isolating 'x' on one side of the equation.

2x - 6 = 0 2x = 6 x = 6/2 x = 3

Therefore, the solution to the equation 2x - 6 = 0 is x = 3.

Identifying the Part of the Graph where y < 0

To identify the part of the graph that corresponds to the condition y < 0, we need to find the values of 'a' for which y is negative. From the graph, we can see that y is negative when a > 1.

Therefore, the part of the graph that corresponds to the condition y < 0 is when a > 1.

Values of 'a' for which the Function takes Negative Values

From the graph, we can see that the function y = 2 - 6a takes negative values when a > 1. In other words, for any value of 'a' greater than 1, the function will have a negative value.

Solving the Inequality 2x - 6 ≤ 0

To solve the inequality 2x - 6 ≤ 0, we need to find the values of 'x' that satisfy the inequality. We can do this by isolating 'x' on one side of the inequality.

2x - 6 ≤ 0 2x ≤ 6 x ≤ 6/2 x ≤ 3

Therefore, the solution to the inequality 2x - 6 ≤ 0 is x ≤ 3.

Solving the Inequality 2x - 6 ≥ 0

To solve the inequality 2x - 6 ≥ 0, we need to find the values of 'x' that satisfy the inequality. We can do this by isolating 'x' on one side of the inequality.

2x - 6 ≥ 0 2x ≥ 6 x ≥ 6/2 x ≥ 3

Therefore, the solution to the inequality 2x - 6 ≥ 0 is x ≥ 3.

I hope this helps! Let me know if you have any further questions.