anonymous
  • anonymous
Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8. With an explanation would be good! :)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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cliffordtapp
  • cliffordtapp
what is x
dakid88
  • dakid88
x means that and do not represent the same math object (Both symbols do not have the same value). (The forms !=, /= or <> are generally used in programming languages where ease of typing and use of ASCII text is preferred.) x ≈ y means x is approximately equal to y.
anonymous
  • anonymous
So, how would I solve this? Would i substitute y=-x+7 into the second equation?

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More answers

jacobciezki
  • jacobciezki
yes
triciaal
  • triciaal
yes do the substitution and solve for x
triciaal
  • triciaal
with the calculated value for x then put in either original to find y
triciaal
  • triciaal
solving the system means you are finding the (x, y) set that satisfies both equation
dakid88
  • dakid88
yes
anonymous
  • anonymous
Okay. I ended up with y=-0.5({-x+7}-3)^2+8. Is that correct?
dakid88
  • dakid88
yes tht is correct
triciaal
  • triciaal
|dw:1441813046839:dw|
triciaal
  • triciaal
@dakid88 no that is not correct
dakid88
  • dakid88
|dw:1441813181344:dw|
triciaal
  • triciaal
@Dancingnerd can you continue?
anonymous
  • anonymous
Um. I think so. Then, do i just solve from here?
anonymous
  • anonymous
I ended up with x = -0.5x^2.. It doesn't seem right.
triciaal
  • triciaal
@Dancingnerd do you understand why your expression was wrong?
anonymous
  • anonymous
Oh. It should be x = 0.5x^2.
anonymous
  • anonymous
Yes.
triciaal
  • triciaal
really? how will that give you the value for x ? did you compute that fast?
anonymous
  • anonymous
What do you mean? I think I confused myself.
triciaal
  • triciaal
what equation did you use?
anonymous
  • anonymous
I used -x+7=-0.5(x-3)^2+8.
triciaal
  • triciaal
correct equation
anonymous
  • anonymous
Okay, so how do I solve?
triciaal
  • triciaal
start with the right hand side expand the "exponents" then parenthesis
triciaal
  • triciaal
simplify you will get a quadratic to factor
anonymous
  • anonymous
-x+7=-0.5*x^2+9+8
triciaal
  • triciaal
I have x = 7, x = 1 then find the corresponding values for y
anonymous
  • anonymous
(7, 0) and (-1,6) are the points. Is that correct?
triciaal
  • triciaal
no I have x = 1
anonymous
  • anonymous
That's what I meant. That was the answer that I got.
triciaal
  • triciaal
1 Attachment
anonymous
  • anonymous
Thank you so much! I would have never been able to solve that myself.
triciaal
  • triciaal
any questions ?
anonymous
  • anonymous
I'm still a bit unsure how you got x=7 and x = 1.
triciaal
  • triciaal
do you follow the directions starting with the right hand side after setting the y's equal? simplify to the quadratic I used x^2 - 8 x + 7 = 0
triciaal
  • triciaal
*did
anonymous
  • anonymous
Ah. Okay.
anonymous
  • anonymous
I think that was where I messed up.
triciaal
  • triciaal
do you understand the process? will you be able to do one by yourself now?

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