Question

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4-x and y = 2x + 3 intersect are the solutions of the equation 4-x = 2x + 3.

Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.

Part C: How can you solve the equation 4-x = 2x + 3 graphically?

Answer 1

A. if the points are the same, the y's will be the same.
y = 4-x and y = 2x + 3 , they both equal y, so you can substitute one in for the other.


y = 4-x , y = 2x + 3

4-x = 2x + 3

Answer 2

I'm sorry I typed the questions wrong. It should look like this:
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4^-x and y = 2^(x + 3) intersect are the solutions of the equation 4^-x = 2^(x + 3).

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

Part C: How can you solve the equation 4^-x = 2^(x + 3) graphically?

Answer 3

same logic
since the both equal y, they must equal each other

Answer 4

table for 4^-x
-3 64
-2 16
-1 4
0 1
1 .25
2 .065
3 .01563

Answer 5

Shouldn't the y values on that table be switched?