Question

Помогитееее.......Не выполняя постоений, найдите координаты точки пересечения графиков функции у=10х+10 и у= -5х+4,Обьясните как решали,Спасибки))

Answer 1

10x+10=-5x+4
10x+5x=4-10
15x=-6|÷15
x=-0,4
y=10×0,4+10=4+10
y=14

Answer 2

Finding the Intersection Point of Two Functions

To find the coordinates of the intersection point of the functions \(y = 10x + 10\) and \(y = -5x + 4\), we can set the two functions equal to each other and solve for \(x\). This will give us the x-coordinate of the intersection point. Once we have the x-coordinate, we can substitute it back into either of the original functions to find the y-coordinate.

Solving for the Intersection Point

1. Setting the Functions Equal to Each Other: We set the two functions equal to each other: \[10x + 10 = -5x + 4\]

2. Solving for \(x\): Solving for \(x\) gives us: \[10x + 5x = 4 - 10\] \[15x = -6\] \[x = -\frac{6}{15} = -\frac{2}{5}\]

3. Finding the y-coordinate: We can substitute \(x = -\frac{2}{5}\) into either of the original functions to find the y-coordinate. Let's use \(y = 10x + 10\): \[y = 10(-\frac{2}{5}) + 10\] \[y = -4 + 10\] \[y = 6\]

Conclusion

The coordinates of the intersection point of the two functions \(y = 10x + 10\) and \(y = -5x + 4\) are \((-2/5, 6)\).

I hope this helps! Let me know if there's anything else you'd like to discuss.