Question

Выберите функции, графики которых параллельны, ответ обоснуйте: A) у = 3 и у = х+3 B) у = - 5х+2 и у = 4-5х C) у = 2х-7 и у = 3х-7 2 балла D) у =-3х+5 и у = - 3х-5 E) у = 0,5х+1 и у = 2х+1

Answer 1

Ответ:

Объяснение:

D) у =-3х+5 и у = - 3х-5

 угловые коэффиценты ( -3 = -3) должны быть равны отличаться должны только  b

у =-3х+5     b = 5

у = - 3х-5    b = - 5

Answer 2

A) у = 3 и у = х^3

The functions y = 3 and y = x^3 are parallel.

Explanation: - The function y = 3 is a horizontal line that passes through the y-axis at y = 3. It is a constant function and does not change with respect to x. - The function y = x^3 is a cubic function that represents a curve. It increases or decreases depending on the value of x, but it does not have a constant slope. Therefore, it is parallel to the horizontal line y = 3.

B) у = -5х^2 и у = 4-5х

The functions y = -5x^2 and y = 4-5x are not parallel.

Explanation: - The function y = -5x^2 is a downward-opening parabola. It has a constant coefficient of -5, which means that the slope of the function changes as x changes. - The function y = 4-5x is a linear function with a constant slope of -5. It represents a straight line with a negative slope.

Since the slopes of the two functions are different, they are not parallel.

C) у = 2х-7 и у = 3х-7

The functions y = 2x-7 and y = 3x-7 are parallel.

Explanation: - Both functions have the same slope of 2 and do not intersect. This means that they have the same rate of change and are parallel lines.

D) у = -3х+5 и у = -3х-5

The functions y = -3x+5 and y = -3x-5 are parallel.

Explanation: - Both functions have the same slope of -3 and do not intersect. This means that they have the same rate of change and are parallel lines.

E) у = 0.5х+1 и у = 2х+1

The functions y = 0.5x+1 and y = 2x+1 are not parallel.

Explanation: - The function y = 0.5x+1 represents a line with a slope of 0.5. It has a positive slope and increases at a slower rate compared to the function y = 2x+1. - The function y = 2x+1 represents a line with a slope of 2. It has a steeper positive slope and increases at a faster rate compared to the function y = 0.5x+1.

Since the slopes of the two functions are different, they are not parallel.