Th3P1agu3
Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8x and y = 2x + 2 intersect are the solutions of the equation 8x = 2x + 2. (4 points)

Part B: Make tables to find the solution to 8x = 2x + 2. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 8x = 2x + 2 graphically? (2 points)

Quickly please! Thank you.

Sagot :

The point of intersection of two given equations is (0.333, 2.667).

Given that, equation with two variables are y = 8x and y = 2x + 2.

The given equations will intersect at some point where y is the same for both equations.

When you replace y in y = 2x + 2 with y = 8x, we get 8x = 2x + 2.

So, the solution of 8x = 2x+2 will satisfy both equations.

Now, we need to find the solutions to take the integer values of x between -3 and 3.

That is,

x = -3 , then 8(-3) = 2(-3) +2⇒-24 = -6+2

⇒-12 = -4    False.

similarly, for x = -2

8(-2) = 2(-2)+2

⇒-16 = -2   False

For, x = -1

8(-1) = 2(-1)+2

⇒-8= 0   False

For, x = 0

8(0) = 2(0)+2

⇒0= 2   False

For, x = 1

8(1) = 2(1)+2

⇒8= 4   False

For, x = 2

8(2) = 2(2)+2

⇒16 = 6   False

For, x = 3

8(3) = 2(3)+2

⇒24 = 8   False

Therefore, there is no solution to 8x = 2x +2 for the integers values of x between -3 and 3.

The equations can be solved graphically by plotting the two given functions on a coordinate plane and identifying the point of intersection of the two graphs.

The point of intersection is the values of the variables which satisfy both equations at a particular point.

Hence, you can see the graph as shown below, the point of intersection is (0.333, 2.667).

To learn more about the graphical representation of equation visit:

https://brainly.com/question/12804458.

#SPJ1

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.