Question

PLEASE HELP! I'll give medals & fan.

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). (4 points)

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

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

Answer 1

@xvddedge

Answer 2

Thanks for mentioning me! And here wait @imastudent1

Answer 3

no problem lol. can you help me?

Answer 4

I'll try. It's sort of hard to explain.

Answer 5

you don't have to explain to me. i just need the answer.

Answer 6

i think its b not sure but um try b

Answer 7

its not multiple choice lol you're supposed to explain the asnwer.

Answer 8

@superhelp101

Answer 9

@campbell_st

Answer 10

Well I'm not really sure what to explain but I am sure if you ask a mathlete for help the shall know

Answer 11

well both equations are equal to y. The point of intersection is where 2 curves share a common point.

so you can then equate the expressions in x, since they are both equal to x.


(b) Table of values

y = 4^-x y = 2^(x + 3)

x: -3 : -2: -1: 0 : 1 : 2 : 3 x: -3 : -2: - 1: 0 : 1 : 2 : 3
--------------------------------- --------------------------
y: 64 : 16: 4 : 1 : 1/4 : 1/16 : 1/64 y : 1 : 2 : 4: 8: 16 : 32 :64

to find the solutions rewrite the 1st equation with a base of 2

so you should be able to see the point of intersection.

(c) just plot the ordered pairs or use

https://www.desmos.com/calculator

to graph the curves

Answer 12

What do I put for part A?

Answer 13

@campbell_st

Answer 14

Its is the point that is part of both curves... and the x value is independent...

both equations are equal to y, so you can equate them and then attempt to solve then to see if there is a solution.

Answer 15

oh okay thank you :)