Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
I AM CERTAIN THAT NO ONE WILL ANSWER THIS QUESTION...
Suppose that l be a line through the points (0,3)and (5,2) and tangent to the graph of the function \[F(x)=\frac{ x^2p }{ 3x+1 }\] where ‘p’ is real number. What is the equation of a line parallel to l and tangent to the graph of F.
A) 4x+4y+7 = 0 B) 9x+9y+37 = 0 C) x+y3 = 0 D) 4x+6y37 = 0
 one year ago
 one year ago
I AM CERTAIN THAT NO ONE WILL ANSWER THIS QUESTION... Suppose that l be a line through the points (0,3)and (5,2) and tangent to the graph of the function \[F(x)=\frac{ x^2p }{ 3x+1 }\] where ‘p’ is real number. What is the equation of a line parallel to l and tangent to the graph of F. A) 4x+4y+7 = 0 B) 9x+9y+37 = 0 C) x+y3 = 0 D) 4x+6y37 = 0
 one year ago
 one year ago

This Question is Closed

ZekariasBest ResponseYou've already chosen the best response.2
I will post the answer exactly after one hour.
 one year ago

mathsloverBest ResponseYou've already chosen the best response.2
Hint: Never challenge OpenStudy
 one year ago

sriramkumarBest ResponseYou've already chosen the best response.0
m= 23/50 = 1 the equation will be y3= 1(x0) x+y3 =0
 one year ago

sriramkumarBest ResponseYou've already chosen the best response.0
@hartnn that means???
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
that means answer can be a,b or c
 one year ago

sriramkumarBest ResponseYou've already chosen the best response.0
yep.... but the answer hasn't yet finished... @hartnn
 one year ago

KKJBest ResponseYou've already chosen the best response.0
I will the slope of the line through the two points
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
solve y=3x=F(x)=.... u get two roots of x, equate them because the line is tangent and can have only one intersection point. from this i got p=7. now answer can only be either A or B so solving both of them with F(x), gave only B) option with one intersection point, A) doesn't even intersect.
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
PLZ DONT POST THE SOLUTION
 one year ago

ZekariasBest ResponseYou've already chosen the best response.2
I am here to post the answer.
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
whats wrong with my answer? and method ??
 one year ago

ZekariasBest ResponseYou've already chosen the best response.2
correct but the approach not.
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
didn't u get p=7, the same way as i got ?
 one year ago

ZekariasBest ResponseYou've already chosen the best response.2
you use the options to answer the question, isn't it?
 one year ago

ZekariasBest ResponseYou've already chosen the best response.2
Time is up @sauravshakya
 one year ago

ZekariasBest ResponseYou've already chosen the best response.2
First of all what you have to do is finding l so as to get p \[l:\frac{ y3 }{ x0 }=\frac{ 23 }{ 50 }\] \[l:y=x+3\]thus \[F(x)=\frac{ x^2p }{ 3x+1} =x+3=y\]simplifying the above expression \[4x^{2}8xp3=0\]Now since l is tangent to F(x), the quadratic equation above has only one solution. That means \[b^{2}4ac=0\] \[(8)^{2}4(4)(p3)=0\]thus \[(8)^{2}4(4)(p3)=0\]\[p=7\]Now we get F(x) to be \[F(x)=\frac{ x^2+7 }{ 3x+1 }\]Therefore lets solve F’(x)=1 so as to get the coordinate of the unknown line. \[F'(x)=\frac{ 2x(3x+1)3(x^{2}+7) }{ (3x+1)^2 }=1\] \[3x^{2}+2x21=9x^{2}6x1\] \[12x^{2}+8x20=0\]thus \[x=1 or x=\frac{ 5 }{ 3 }\]and \[F(1)=2 and F(\frac{ 5 }{ 3 })=\frac{ 22 }{ 9 }\]Thus we got this two points (1,2) and (5/3,22/9). The two possible lines therefore are \[\frac{ y2 }{ x1 }=1{\rightarrow}y=x+3\]w/c is the given line l. And \[\frac{ y(\frac{ 22 }{9 }) }{ x(\frac{ 5 }{ 3 })}=1{\rightarrow}9y+9x+37=0\]w/c is the answer.
 one year ago

ZekariasBest ResponseYou've already chosen the best response.2
b/c the slope at that point is 1
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
Because the line l and the required line are parallel
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
So, both of their slope is 1
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
it wasn't that difficult.
 one year ago

ZekariasBest ResponseYou've already chosen the best response.2
yes but need smart approach
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
YEP....... Actually I did a algebra mistake, as usual
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
lol! checking options(when given) is the smartest approach!! :P
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
agreed with @hartnn
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
that saves time in exam
 one year ago

hartnnBest ResponseYou've already chosen the best response.3
atleast i got the answer...
 one year ago

ZekariasBest ResponseYou've already chosen the best response.2
ok thanks for your help....... closing
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.