anonymous
  • anonymous
Kitaer is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complete the project in 2 hours. Kaitlyn can complete the project in 1 hours. Kitaer wants to know how long it will take them to complete the project together.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
really confused on this?
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
x = time it takes for Cody to do the job alone y = time it takes for Kaitlyn to do the job alone z = time it take them to do the job together we're given x = 8 and y = 6. Solve for z \[\large \frac{1}{x}+\frac{1}{y}=\frac{1}{z}\] \[\large \frac{1}{8}+\frac{1}{6}=\frac{1}{z}\] \[\large \frac{3}{24}+\frac{4}{24}=\frac{1}{z}\] \[\large \frac{3+4}{24}=\frac{1}{z}\] I'll let you finish

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anonymous
  • anonymous
so 5/24?
jim_thompson5910
  • jim_thompson5910
no
anonymous
  • anonymous
? Please explain
jim_thompson5910
  • jim_thompson5910
\[\large \frac{3+4}{24}=\frac{1}{z}\] \[\large \frac{7}{24}=\frac{1}{z}\] cross multiply or take the reciprocal of both sides
anonymous
  • anonymous
Oh! Okay :) Sorry, I didn't notice that
anonymous
  • anonymous
so 7z=24
anonymous
  • anonymous
yes?
jim_thompson5910
  • jim_thompson5910
now fully isolate z
anonymous
  • anonymous
so 24/7
jim_thompson5910
  • jim_thompson5910
yep 24/7
anonymous
  • anonymous
is that the answer?
anonymous
  • anonymous
Can I ask another please?
jim_thompson5910
  • jim_thompson5910
sure, go ahead
anonymous
  • anonymous
Thanks :)
jim_thompson5910
  • jim_thompson5910
what are some key features that you can think of? any at all?
anonymous
  • anonymous
Maybe some degrees?
jim_thompson5910
  • jim_thompson5910
you mean the degree of the polynomial?
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
what does the degree tell us?
anonymous
  • anonymous
how many answers it would have
anonymous
  • anonymous
I mean roots
jim_thompson5910
  • jim_thompson5910
close, the degree tells us the maximum number of roots, or x-intercepts, possible example: x^3 + 7x^2 + 9 has at most 3 roots. It could have 3 roots, or 2 roots, or just 1 root.
anonymous
  • anonymous
I understand. :)
jim_thompson5910
  • jim_thompson5910
the degree also tells us how many turning points there are number of turning points = (degree) - 1 example: degree = 3 means we have 2 turning points |dw:1437527865525:dw|
jim_thompson5910
  • jim_thompson5910
also, a degree 3 polynomial has 3 branches |dw:1437527902361:dw|
jim_thompson5910
  • jim_thompson5910
other key features: * y intercept * end behavior
jim_thompson5910
  • jim_thompson5910
the end behavior is explained in these articles http://www.purplemath.com/modules/polyends.htm http://www.mathwords.com/e/end_behavior.htm
anonymous
  • anonymous
Ok! Thank-you<3 So the answer would be
anonymous
  • anonymous
basically we need degress, y-intercepts, and end behaviors
jim_thompson5910
  • jim_thompson5910
knowing the degrees helps us determine how many roots max are possible it doesn't tell us the actual x-intercepts
jim_thompson5910
  • jim_thompson5910
you have to set the polynomial equal to 0 and solve for x
jim_thompson5910
  • jim_thompson5910
key features used to graph: x-intercepts y-intercept number of turning points (equal to degree - 1) end behavior also, a couple of other points doesn't hurt either
anonymous
  • anonymous
Hahha :) Thanks !
jim_thompson5910
  • jim_thompson5910
np

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