Question

1 Выберите функции, графики которых параллельны, ответ обоснуйте: а)y=4 и y=x-4 b)y=6-x и y=6-2x c)y=-5x-5 и y=-6+6 d)y=-2x+6 и y=-2x+2 e)y=1,5x-3 и y=4x-3 Пожалуйста сор завтра помогитеТолько правильно пжж​

Answer 1

Ответ: d

Объяснение:

графики функций параллельны, если угловые коэффициенты (Число перед аргументом, в данном случае перед x) функций равны

У функций y = -2x + 6 и y = -2x + 2 общий угловой коэффициент (-2), поэтому их графики параллельны

Answer 2

a) y=4 and y=x-4

To determine if the graphs of the functions y=4 and y=x-4 are parallel, we need to compare their slopes. The slope of a linear function is the coefficient of x.

For y=4, the slope is 0 since there is no x term. Therefore, the equation can be rewritten as y=0x+4.

For y=x-4, the slope is 1 since the coefficient of x is 1.

Since the slopes of the two functions are different (0 and 1), the graphs of y=4 and y=x-4 are not parallel.

b) y=6-x and y=6-2x

To determine if the graphs of the functions y=6-x and y=6-2x are parallel, we need to compare their slopes.

For y=6-x, the slope is -1 since the coefficient of x is -1.

For y=6-2x, the slope is -2 since the coefficient of x is -2.

Since the slopes of the two functions are different (-1 and -2), the graphs of y=6-x and y=6-2x are not parallel.

c) y=-5x-5 and y=-6+6

To determine if the graphs of the functions y=-5x-5 and y=-6+6 are parallel, we need to compare their slopes.

For y=-5x-5, the slope is -5 since the coefficient of x is -5.

For y=-6+6, the slope is 0 since there is no x term. Therefore, the equation can be rewritten as y=0x+0.

Since the slopes of the two functions are different (-5 and 0), the graphs of y=-5x-5 and y=-6+6 are not parallel.

d) y=-2x+6 and y=-2x+2

To determine if the graphs of the functions y=-2x+6 and y=-2x+2 are parallel, we need to compare their slopes.

For y=-2x+6, the slope is -2 since the coefficient of x is -2.

For y=-2x+2, the slope is -2 since the coefficient of x is -2.

Since the slopes of the two functions are the same (-2), the graphs of y=-2x+6 and y=-2x+2 are parallel.

e) y=1.5x-3 and y=4x-3

To determine if the graphs of the functions y=1.5x-3 and y=4x-3 are parallel, we need to compare their slopes.

For y=1.5x-3, the slope is 1.5 since the coefficient of x is 1.5.

For y=4x-3, the slope is 4 since the coefficient of x is 4.

Since the slopes of the two functions are different (1.5 and 4), the graphs of y=1.5x-3 and y=4x-3 are not parallel.

In summary: - The graphs of y=4 and y=x-4 are not parallel. - The graphs of y=6-x and y=6-2x are not parallel. - The graphs of y=-5x-5 and y=-6+6 are not parallel. - The graphs of y=-2x+6 and y=-2x+2 are parallel. - The graphs of y=1.5x-3 and y=4x-3 are not parallel.

Please let me know if there is anything else I can help you with!