Question

Y = -1.5 + 6 1) при каком значении переменной х значение функции у равно 0; -3; 3? 2) при каких значениях переменной х значения функции н отрицательны; положительны; больше 3?

Answer 1

Ответ:

y = -1.5x + 6        ( пусть тут будет х)

1) -1.5x + 6=0

-1.5x=-6

x=4

2) -1.5x + 6= -3

-1.5x= -9

x=6

3) -1.5x + 6=3

-1.5x= -3

x=2

ответ: х=4,6,2.

Answer 2

To find the values of variable x for which the function Y equals 0, -3, and 3, we need to solve the equation Y = -1.5x + 6.

1. Find x when Y = 0: 0 = -1.5x + 6 1.5x = 6 x = 6 / 1.5 x = 4

So, when x = 4, the value of the function Y is 0.

2. Find x when Y = -3: -3 = -1.5x + 6 -1.5x = 6 - 3 -1.5x = 3 x = 3 / -1.5 x = -2

So, when x = -2, the value of the function Y is -3.

Now, to determine the intervals of x when the function Y is negative, positive, or greater than 3, we need to analyze the function's behavior.

The function Y = -1.5x + 6 represents a linear equation with a negative slope (-1.5). The slope indicates that the function is decreasing, and it will be positive for x values less than (6 / 1.5) = 4 and negative for x values greater than 4. Additionally, the function Y > 3 when -1.5x + 6 > 3, which leads to -1.5x > -3 and x < 2.

2. Values of x when Y is negative: x < 4
3. Values of x when Y is positive: x > 4
4. Values of x when Y > 3: x < 2

In summary:

1. When Y = 0, x = 4
2. When Y = -3, x = -2
3. Values of x when Y is negative: x < 4
4. Values of x when Y is positive: x > 4
5. Values of x when Y > 3: x < 2