Enter the data to create a histogram. Then check all that apply.
2 answers:
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Answer:
graph Y
Step-by-step explanation:
The inverse function can be found by solving ...
x = f(y)
x = -3y +3
x -3 = -3y . . . . . subtract 3; next, divide by -3
y = -1/3x +1 . . . . . matches graph Y
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<em>Additional comment</em>
Writing the original equation in standard form can help you see its intercepts.
3x +y = 3
3x = 3 ⇒ x = 1 . . . . x-intercept (at y=0)
y = 3 . . . . y-intercept (at x=0)
The inverse function has the x- and y-intercepts swapped, so you're looking for a line through (0, 1) and (3, 0). The lower left graph (Y) is that graph.
3. If and
, then
Then
(only one solution)
4. If , then
. So we're told that
but this is impossible, because that would that for any
, we have -5 = -2. This is false, so this system has no solution.
7. "y is 6 less than 3 times x" means . "x is 2 more than one-third of y" means
. Solving the second equation for
gives
, which would mean
. But for the same reason as in (4), there is no solution. For any value of
, this equation gives the false conclusion that -6 = -2.