anonymous
  • anonymous
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is the first year the f(x) height is greater than the g(x) height? A. Year 0 B.Year 1 C.Year 2 D.Year 3 Can i get some help plz
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@ali2x2
anonymous
  • anonymous
@Michele_Laino can u help me plz
Michele_Laino
  • Michele_Laino
you have to substitute x=0, 1,2,3 then you have to compare the values f(x) and g(x) for each year. For example, if x=0, then we have: f(0) = 4*0 =0, and g(0)= 5*0+2=2, so f(0) < g(0) now, please do the same for other values of x

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
so pu 4 in for f in the problem and 5 in for g
anonymous
  • anonymous
u there
Michele_Laino
  • Michele_Laino
yes!
Michele_Laino
  • Michele_Laino
question: are f(x) and g(x) heights or rates?
anonymous
  • anonymous
rates
Michele_Laino
  • Michele_Laino
so, are you familiar with differential calculus?
anonymous
  • anonymous
no i am not ?
Michele_Laino
  • Michele_Laino
if f(x) is a rate, then the corresponding height h, is given solving this differential equation: \[\Large \frac{{dh}}{{dx}} = 4x\]
anonymous
  • anonymous
ok i am trying to understand what is going on but for my first answer i put B. am i right
Michele_Laino
  • Michele_Laino
I'm pondering...
anonymous
  • anonymous
okay
Michele_Laino
  • Michele_Laino
my reasoning is: height h1 for f(x) is: \[\Large {h_1}\left( x \right) = 2{x^2}\] whereas height h2 for g(x) is: \[\Large {h_2}\left( x \right) = \frac{{5{x^2}}}{2} + 2x\] and we have h2>h1, if x>0, whereas h2=h1 if x=0
Michele_Laino
  • Michele_Laino
please wait I ask to another helper
anonymous
  • anonymous
so A
Michele_Laino
  • Michele_Laino
@Astrophysics please help
Michele_Laino
  • Michele_Laino
@vera_ewing @nincompoop please help
anonymous
  • anonymous
so what i need to do
Astrophysics
  • Astrophysics
This doesn't really make sense, are the functions \[f(x)=4x~~and~~g(x) = 5x+2~~~~or~~~~f(x)=4^x~~~~and~~~g(x) = 5x+2\]
anonymous
  • anonymous
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is the first year the f(x) height is greater than the g(x) height? this is the problem
Astrophysics
  • Astrophysics
What are the functions...from what i showed you
Astrophysics
  • Astrophysics
is it to the power of x or just times x...
anonymous
  • anonymous
just times
Astrophysics
  • Astrophysics
So it's \[f(x) = 4x\] and \[g(x) = 5x+2\]
anonymous
  • anonymous
i am so confused tho
Astrophysics
  • Astrophysics
Can you please take an image of your question and post it
anonymous
  • anonymous
i dont know how to do thatfrom computer
anonymous
  • anonymous
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is the first year the f(x) height is greater than the g(x) height? Year 0 Year 1 Year 2 Year 3
Astrophysics
  • Astrophysics
Ok all I am asking you is, what are the functions they gave you in the problem f(x), if it's to the power of x or is just 4x...
Astrophysics
  • Astrophysics
and same for g(x)
Astrophysics
  • Astrophysics
|dw:1438873919146:dw|
anonymous
  • anonymous
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2 What is the first year the f(x) height is greater than the g(x) height? Year 0 Year 1 Year 2 Year 3
Astrophysics
  • Astrophysics
cmon dude lol
anonymous
  • anonymous
lol tbh i dont know
Astrophysics
  • Astrophysics
Im asking you about the problem
Astrophysics
  • Astrophysics
not how to do it
anonymous
  • anonymous
lol o....
Astrophysics
  • Astrophysics
Two different plants grow each year at different rates, which are represented by the functions `f(x) = 4x and g(x) = 5x + 2` What is the first year the f(x) height is greater than the g(x) height?
Astrophysics
  • Astrophysics
Are those to the power of x or just being multiplied by x
anonymous
  • anonymous
being multiplied
Astrophysics
  • Astrophysics
So it's exactly \[f(x) = 4x~~~~~g(x) = 5x+2\] like that right?
anonymous
  • anonymous
yes that right
Astrophysics
  • Astrophysics
Ok well...then you can make a graph check this out |dw:1438874246367:dw| blue is g(x) and green is f(x)
anonymous
  • anonymous
what am i looking for in the picture
Astrophysics
  • Astrophysics
This doesn't make sense
Astrophysics
  • Astrophysics
This shows g(x) > f(x) always
anonymous
  • anonymous
ok so make a graph
Astrophysics
  • Astrophysics
Can you please take a screenshot of your problem
anonymous
  • anonymous
how can u screen shot from computer
anonymous
  • anonymous
did u get it
Astrophysics
  • Astrophysics
not yet
Astrophysics
  • Astrophysics
Ok I got it and it was to the power of x, I KNEW IT!! haha|dw:1438875745626:dw|
anonymous
  • anonymous
lol okay
Astrophysics
  • Astrophysics
Ok so now we can put in values as Michele did above, to see so let x = 0 \[f(0) = 4^0 = 1\] \[g(0) = 5(0)+2=2\] So its not year 0
anonymous
  • anonymous
its 2
anonymous
  • anonymous
C.
Astrophysics
  • Astrophysics
\[f(1) = 4^1=4\] \[g(1) = 5(1)+2=7\] year 1 \[f(2) = 4^2 = 16~~~~g(2) = 5(2)+2 = 12\]
Astrophysics
  • Astrophysics
Yup year 2 lol
Astrophysics
  • Astrophysics
Bleh, that took so long xD, I knew something was fishy
anonymous
  • anonymous
lol okay thx for your time
anonymous
  • anonymous
Which of the following exponential functions goes through the points (1, 6) and (2, 12)? f(x) = 3(2)x f(x) = 2(3)x f(x) = 3(2)−x f(x) = 2(3)−x
anonymous
  • anonymous
help me with this @Astrophysics
Astrophysics
  • Astrophysics
Lol no problem
Astrophysics
  • Astrophysics
Please open a new question
anonymous
  • anonymous
lol okay

Looking for something else?

Not the answer you are looking for? Search for more explanations.