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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
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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**
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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
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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
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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
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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
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