Question

URGENT!! I Need help!! I will fan and medal!!

Answer 1

In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the graph is where the substance changes from a liquid to a solid. Explain to your fellow scientists how to find the turning point of this function, using complete sentences.

Answer 2

well, simplifying the equation would help

Answer 3

also note: this is a linear equation

Answer 4

I would have to turn the function into a standard form equation? @adamaero

Answer 5

no, just simplify

Answer 6

simplify how? I'm sorry @adamaero

Answer 7

I have no idea how to haha

Answer 8

3*5 + 3*x
then add

Answer 9

oh btw its (x + 5)^3 + 7. maybe that's what is confusing @adamaero

Answer 10

foil it out then

Answer 11

(x+5)^3 = (x+5)(x+5)(x+5)
http://mathdepartment.files.wordpress.com/2008/02/foilandfactoring_1.jpeg

Answer 12

A puddle is in the fall is liquid; that puddle in the winter is solid.
http://www.angelfire.com/ego/mr.f/images/heatingcurve.jpg

Answer 13

it would be x^3+ 15 x^2 + 75x + 132 right?? So then from there? @adamaero

Answer 14

Ok. What is the "turning point" of water?

Answer 15

100 degrees celcius? @adamaero

Answer 16

well ya got me there; that is the turning point for boiling. What is the turning point for freezing?

Answer 17

If you get where I'm going with this, think of the substance as a different kind of water. It's turning point is when the temperature gets too cold for it to stay in liquid form...so it turns into another form--solid.

Answer 18

gotta go, will not be back

Answer 19

Ooooh So then it would be at 0?? @adamaero

Answer 20

Aw okay,,, thank you for helping me though!! @adamaero

Answer 21

no, that is for water

Answer 22

water is an analogy for the (unknown) substance

Answer 23

@ganeshie8 could you help me again??

Answer 24

T(x) = (x + 5)^3 + 7

Notice that the given function is a cubic equation translated left by 5 units and up by 7 units. Since the turning point for a cubic occurs at its vertex point, the turning point would be (-5, 7).

(this is not exactly a turning point as this cubic increases forever)

Answer 25

add few more sentences with your own observations to that and you're done!

Answer 26

Aaaaa thank you!! But how would I exactly find it? Just by looking at the graph of this? @ganeshie8

Answer 27

T(x) = (x + 5)^3 + 7

the equation has it, it tells us that the cubic was translated left by 5 units and up by 7 units


graphing is a good idea too :)

Answer 28

OH! Thank you so much! You're so amazing and I wish I could have your mind when it comes to math. Thank you @ganeshie8 !!

Answer 29

you're good in math! yw :)