Question

Не выполняя построения, найдите координаты точек пересечения параболы у=1\2^ и прямой у=3х-4. помогите решить, срочно нужен ответ!

Answer 1

1/2*х2 = 3х-4
6х - 8 = х2
-х2 + 6х -8 = 0
дискриминант=4
х = 4, х = 2
у = 4^2/2=8, у = 2
ответ: (4;8), (2;2)

Answer 2

(1/2)x^2=3x-4|*2
x^2=6x-8
x^2-6x+8=0
x1=2, x2=4
y(2)=3*2-4=2
y(4)=3*4-4=8
Получаем две точки (2;2) и (4;8)

Answer 3

Finding the Intersection Points of a Parabola and a Line

To find the coordinates of the intersection points between the parabola y = 1/2^ and the line y = 3x - 4, we need to solve the system of equations formed by setting the two equations equal to each other.

Let's start by setting the equations equal to each other:

1/2^ = 3x - 4

To solve this equation, we can multiply both sides by 2^ to eliminate the fraction:

1 = (3x - 4) * 2^

Simplifying further:

1 = 3 * 2^x - 4 * 2^

Now, we can isolate the exponential term:

3 * 2^x = 1 + 4 * 2^

3 * 2^x = 1 + 4 * 2^

3 * 2^x = 1 + 4 * 2^

At this point, we can see that there might be a typo or an error in the given equations. The search results provided by You.com did not yield any relevant information or equations that could be used to find the intersection points. Therefore, I am unable to provide the exact coordinates of the intersection points without further clarification or correct equations.

If you can provide additional information or clarify the equations, I would be happy to assist you further in finding the intersection points.

Answer 4

Для нахождения точек пересечения параболы и прямой, подставим уравнение прямой у = 3x - 4 в уравнение параболы у = 1/2^:

1/2^ = 3x - 4

Умножим обе части уравнения на 2^, чтобы избавиться от знаменателя:

1 = 2^(3x - 4)

Заметим, что 2^0 = 1, поэтому:

2^(3x - 4) = 2^0

3x - 4 =