Plz ! answer nicely, don't just take my points : )

(05.03 mc)
part a: explain why the x-coordinates of the points where the graphs of the equations y = 2^−x and y = 8^x+^4 intersect are the solutions of the equation 2^−x = 8^x+^4.

part b: make tables to find the solution to 2^−x = 8^x+^4. take the integer values of x between −3 and 3.

part c: how can you solve the equation 2^−x = 8^x+^4 graphically?

Part A: The x-coordinate of the point where the graphs of the equations y = 2^−x and y = 8^(x+4) intersect is the solution of the equation 2^−x = 8^(x+4) because that value of x make the values of y the same. That is, for that value of x, the point (x, y) lies on the graph of both curves.

Part B: The attachment shows a table to find the solution to 2^−x = 8^(x+4). It has integer values of x between −3 and 3.

Part C: You solve the equation 2^−x = 8^x+^4 graphically by plotting the points found in part B, or by using a graphing utility. The solution is the point where the graph of y=2^-x intersects the graph of y=8^(x+4). That point is ...

  (x, y) = (-3, 8)

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

i believe the correct answer is b.