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Mathematics 22 Online
OpenStudy (anonymous):

Medal and Fan

OpenStudy (marissalovescats):

What's the new question?

OpenStudy (anonymous):

wait

OpenStudy (marissalovescats):

Alrighty

OpenStudy (anonymous):

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^-x and y = 4^x + 3 intersect are the solutions of the equation 2^-x = 4^x + 3. (4 points) Part B: Make tables to find the solution to 2^-x = 4^x + 3. Take the integer values of x between -3 and 3. (4 points) Part C: How can you solve the equation 2^-x = 4^x + 3 graphically? (2 points)

OpenStudy (marissalovescats):

I don't remember anything about exponential functions sadly. But possibly @jim_thompson5910 could assist you

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

@mathstudent55

jimthompson5910 (jim_thompson5910):

how far did you get HelpPleaseAlgebra?

OpenStudy (anonymous):

Not passed reading eat

OpenStudy (anonymous):

it**

jimthompson5910 (jim_thompson5910):

do you remember how to solve a system of linear equations?

OpenStudy (anonymous):

yes kind of

jimthompson5910 (jim_thompson5910):

how would you do it visually?

jimthompson5910 (jim_thompson5910):

aka using a graph

OpenStudy (anonymous):

the intercept is the solution

jimthompson5910 (jim_thompson5910):

where they cross is the solution

jimthompson5910 (jim_thompson5910):

the same applies to part A

OpenStudy (anonymous):

no i tried that it dosent wook

jimthompson5910 (jim_thompson5910):

so graph y = 2^(-x) and y = 4^x + 3

jimthompson5910 (jim_thompson5910):

where they cross is where the solution is

OpenStudy (anonymous):

it dosent work

jimthompson5910 (jim_thompson5910):

what do you mean?

OpenStudy (anonymous):

it does work

OpenStudy (anonymous):

but how would i explain that

jimthompson5910 (jim_thompson5910):

it's the same basic explanation for how to visually solve a system of linear equations you're looking for the point for when x is the same for both equations and for when y is the same for both equations...aka...the point of intersection

OpenStudy (anonymous):

okay what about part b

jimthompson5910 (jim_thompson5910):

to make a table, you plug in various values of x to get corresponding values of y

jimthompson5910 (jim_thompson5910):

so plug in x = 0 to get the y value and you'd record it in the table

jimthompson5910 (jim_thompson5910):

and you'd keep going for other x values

OpenStudy (anonymous):

ok i got it thanks

OpenStudy (anonymous):

but stick around to see if i need clearification

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