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angelwings996
 3 years ago
What is the solution of the equation?
(x  2)^3/4 = 8
angelwings996
 3 years ago
What is the solution of the equation? (x  2)^3/4 = 8

This Question is Closed

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.0multiply by 4 and cube everything. then add 2 to solve for x.

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0\[(x  2)^{3/4} = 8 \] is the equation

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.0That's the same thing as: \[\sqrt[4]{a^3}\]

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0@abb0t will there only be one solution?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0((x  2)^1/4)^3 = 8 =2^3 it powers are same then you can compare the bases i.e (x  2)^1/4 = 2 then multiply the both sides with ^4 then you will get x2=16 x=18

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0This one won't have multiple solutions.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0its like (x2)^3 = 8^4 giving you x = 18. And only 1 root

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0@mominanisar Thanks!

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0Could any of you help me with one more please?

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0You live near a bridge that goes over a river. The underside of the bridge is an arch that can be modeled with the function y = 0.000471x^2 + .837x where x and y are measured in feet. How high above the river is the bridge (the top of the arch)? Hw long is the section of bridge above the arch?

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0@mominanisar @Saikam could either of you help me please?

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0It is multiple choice so I can list them

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes i will if i am able to

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, ill give you the choices

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0actaully, the length of the section of bridge and its height above the river are dependant on each other. one cannot be determined without the other

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0a. The bridge is about 1,777.07 ft. above the river, and the length of the bridge above the arch is about 888.54 ft. b. The bridge is about 371.85 ft. above the river, and the length of the bridge above the arch is about 1,777.07 ft. c. The bridge is about 371.85 ft. above the river, and the length of the bridge above the arch is about 888.54 ft. d. The bridge is about 1,777.07 ft. above the river, and the length of the bridge above the arch is about 371.85 ft.

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0@Saikam That's what everyone is saying, so Im not able to find the answer anywhere. Im not even sure how you would figure this out

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0Then would I have to take an educated guess on this?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no. we must consider each option and verify. take the length of bridge given in the first option, then check if it satisfies the given height. Then take the values from second option, and so on... one (or more) of them might satisfy. can u try? or u want me to help?

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0Could you help me please?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358145028404:dw

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358145052483:dw

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0height of bridge above water = y coordinate of vertex length of the bridge above the arch = distance between the two roots

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0No @jim_thompson5910 because the question doesnt say that the xaxis is the level of the river. it could be anything. like y=1, y=1 , etc.that is why the verification needed

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0If you guys can't figure it out its okay(:

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0well it's implicit, they should state it more clearly though

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0y = height above the ground

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0or river, i meant

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0I agree...Ít's hard to do the math to something when you don't quite understand the question

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dy/dx = 0 gives you the xxoordinate, where the arch has its vertex 0 = 0.000942 x + 0.837 2x = 0.837/0.000471 This could be equated to length of the river 2x = 1000*(837/471) = 1777.07 ft for which the only option matching is b :P

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you should substitute this value of x (x, and not 2x )in the equation and check for y . If its equal to 371.85, then yea, B. I just woke up. feeling lazy to do the calculations.

angelwings996
 3 years ago
Best ResponseYou've already chosen the best response.0Lol its fine. I appreciate both of your helps! Thank you (:
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