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anonymous
 one year ago
Two functions are shown in the table below.
Function 1 2 3 4 5 6
f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
A)x = 3
B)x = 4
C)x = 5
D)x = 6
anonymous
 one year ago
Two functions are shown in the table below. Function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12 g(x) = x + 8 Complete the table on your own paper, then select the value that is a solution to f(x) = g(x). A)x = 3 B)x = 4 C)x = 5 D)x = 6

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@butterflydreamer @chrisdbest @brebre5564

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its been a while since ive done this lol do you know what f(x) stands for cx

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry lol cant help you there

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Hmm... If I'm reading this right, it looks like they just want you to plug in different x values (from 1 to 6) into the equations.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3So, if we started with the "f(x)" equation we are thinking about \[x^2 + 4x + 12\] and we want to plug in different x values to see what we get. What would you get if you plug in x =1?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Well, let's see. What did you do to get that answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i calculate: −x2+4x+12

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x) = −x^2 + 4x + 12 \]\[g(x) = x + 8 \]\[f(x)=g(x)\iff x^2+4x+12=x+8\]

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3OK, that sounds right. Maybe there was just a calculation error. I did (1)^2 + 4(1) + 12 = 1 + 4 + 12 = 15. Does that make sense?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3OK, so in the "f(x)" row under the "1" column you would fill in 15.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3You should have something like this so far 1 2 3 ..... f(x) 15 g(x)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3It's a little tedious, but we have to repeat our calculations for all x's up to 6. Next is x = 2. Plug that into x^2 + 4x + 12 and see what you get. I'll check your answer. :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i get 6? i dont know if i'm right

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3OK, can you write your steps like I did before?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3sure, take your time. :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(x)=−x2+4x+12 g(x)=x+8 f(x)=g(x)⟺−x2+4x+12=x+8

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Well, not exactly. But good job copying all those formulas! :) I meant when you plug in x = 2 into x2+4x+12. Like this (2)^2 + 4(2) + 12 = ... What comes next?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3so, (2)^2 = 4 and 4(2) = 8 so we get (2)^2 + 4(2) + 12 = 4 + 8 + 12 = ... could you finish this part?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Good job! That's all I meant by "show your steps". Anyways, we now have the second piece of our table 1 2 3 f(x) 15 16 g(x) Does this make sense so far?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3OK, let's keep going. Next is x = 3. Let's plug this into x^2 + 4x + 12 and see what we get. I'll help get you started: (3)^2 + 4(3) + 12 = What comes next?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Alright, so we still need to do the same thing for x = 4, x = 5, and x = 6. Then we will be done plugging into the x^2 + 4x + 12 equation. See if you can do these: (4)^2 + 4(4) + 12 = (5)^2 + 4(5) + 12 = (6)^2 + 4(6) + 12 =

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Of course, that's a lot of numbers. :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Very good! You got them all!

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3OK, phew... almost done. We have finally completed the first row of the table: 1 2 3 4 5 6 f(x) 15 16 15 12 7 0 g(x)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Next is the easier formula. We do the same thing we did for f(x), but now for g(x). Plug in x = 1, x = 2, x = 3, x = 4, x = 5, and x = 6 into x + 8 (that's g(x)).

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3As long as we don't get freaked out, we can see that this is pretty quick to figure out. 1 + 8 = 2 + 8 = 3 + 8 = 4 + 8 = 5 + 8 = 6 + 8 =

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3These answers will go into the second row of our table.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0.9 .10 .11 .12 .13 .14

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Great job! You've got it!

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Let's put these into the table: 1 2 3 4 5 6 f(x) 15 16 15 12 7 0 g(x) 9 10 11 12 13 14

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Cool! The table is finished like the problem wanted. Their last question was, when does f(x) = g(x) ? We just have to look at the table and see when the two numbers are the same. Which x value seems to have the same number for both f(x) and g(x)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yea, f(x) and g(x) have the 12

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Good! There's the match, so x = ? to make this happen. Our choices are: A)x = 3 B)x = 4 C)x = 5 D)x = 6 What do you think?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Yep! That's the one! If we weren't sure we could just confirm that (4)^2 + 4(4) + 12 = 12 and 4 + 8 = 12 just like we wanted. Finally! We are done! Congrats!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much! you explain good! can you help me with 3 more please?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3I wish I could, but I've got to go for now, I've got some of my own homework to finish. Sorry. :( Good luck! I'm sure someone else can help you out. :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.3Have a good night, or morning, or whatever time it is where you are. :)
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