anonymous
  • anonymous
Based on the graph below, what are the solutions to the equation f(x) = g(x)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
x = -3, 0.8, 4 x = -1.9, 0.8, 4.1 x = -2, 2, 3 x = -2.5, 0.8, 3 Those are the options and then the graph is attached
Michele_Laino
  • Michele_Laino
from your graph we have three intersection points
anonymous
  • anonymous
Yes, I get it, however none of the answers match and I'm really confused because I thought it just was where the two lines connect in those 3 points but that doesn't match any of my options

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More answers

Michele_Laino
  • Michele_Laino
I think that we can choose the first option
Michele_Laino
  • Michele_Laino
it is the one closest to the right result
anonymous
  • anonymous
yeah, I really hope your right haha thanks
Michele_Laino
  • Michele_Laino
:)
anonymous
  • anonymous
Wait do you have time to help me with another one?
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
THANK YOU
anonymous
  • anonymous
Water coming out from a fountain is modeled by the function f(x) = -x2 + 6x + 6 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds. What does the average rate of change of f(x) from x = 2 to x = 5 represent? (4 points) The water travels an average distance of 4 feet from 2 seconds to 5 seconds. The water travels an average distance of 1 foot from 2 seconds to 5 seconds. The water falls down with an average speed of 2 feet per second from 2 seconds to 5 seconds. The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.
Michele_Laino
  • Michele_Laino
we have to compute the average rate, using this formula: \[\Large r = \frac{{f\left( 5 \right) - f\left( 2 \right)}}{{5 - 2}}\]
Michele_Laino
  • Michele_Laino
where: \[\Large \begin{gathered} f\left( 5 \right) = - {5^2} + 6 \cdot 5 + 6 = ... \hfill \\ f\left( 2 \right) = - {2^2} + 6 \cdot 2 + 6 = ... \hfill \\ \end{gathered} \]
anonymous
  • anonymous
f(5) = 11 f(2) = 14
Michele_Laino
  • Michele_Laino
ok! so after a substitution, we get: \[\Large r = \frac{{f\left( 5 \right) - f\left( 2 \right)}}{{5 - 2}} = \frac{{11 - 14}}{{5 - 2}} = ...\]
anonymous
  • anonymous
-4 ---- 3
Michele_Laino
  • Michele_Laino
11-14=-3
anonymous
  • anonymous
whoops hehe sorry
Michele_Laino
  • Michele_Laino
:) so r= -1, right?
anonymous
  • anonymous
yeah
Michele_Laino
  • Michele_Laino
now since f(5)= 11 and f(2) = 14, we can say that going from 2 seconds to 5 seconds water is falling down
anonymous
  • anonymous
at 3 feet per second?
anonymous
  • anonymous
sorry 1 foot per second
Michele_Laino
  • Michele_Laino
so, what is the right option?
anonymous
  • anonymous
4 or 2
anonymous
  • anonymous
4
Michele_Laino
  • Michele_Laino
please keep in mind that water is falling down with a rate equal to 1 (if we neglect the minus sign)
Michele_Laino
  • Michele_Laino
correct!
anonymous
  • anonymous
Thank you so much, you are really helpful!
Michele_Laino
  • Michele_Laino
:) :)

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