Question

Знайдіть точки перетину з осями координат графіка функції у= 1,9х-57.

Answer 1

Ответ:

(30; 0) (0; -57)

Объяснение:

y=0; 1,9x=57; x=57/1,9=570/19=30

x=0; y=0-57= -57

Answer 2

Finding the Intercepts of the Function

To find the points of intersection with the coordinate axes for the function \( y = 1.9x - 57 \), we can calculate the x-intercept and the y-intercept.

Y-Intercept: The y-intercept occurs when x = 0. Substituting x = 0 into the function gives us the y-intercept.

X-Intercept: The x-intercept occurs when y = 0. Substituting y = 0 into the function gives us the x-intercept.

Calculating the Y-Intercept

Substituting x = 0 into the function \( y = 1.9x - 57 \) gives: \[ y = 1.9(0) - 57 \] \[ y = -57 \]

So, the y-intercept is at the point (0, -57).

Calculating the X-Intercept

Substituting y = 0 into the function \( y = 1.9x - 57 \) gives: \[ 0 = 1.9x - 57 \] \[ 1.9x = 57 \] \[ x = \frac{57}{1.9} \] \[ x = 30 \]

So, the x-intercept is at the point (30, 0).

Therefore, the points of intersection with the coordinate axes for the function \( y = 1.9x - 57 \) are: - Y-Intercept: (0, -57) - X-Intercept: (30, 0)