Question

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.

Answer 1

really confused on this?

Answer 2

@jim_thompson5910

Answer 3

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

Answer 4

so 5/24?

Answer 5

no

Answer 6

? Please explain

Answer 7

\[\large \frac{3+4}{24}=\frac{1}{z}\]

\[\large \frac{7}{24}=\frac{1}{z}\]

cross multiply or take the reciprocal of both sides

Answer 8

Oh! Okay :) Sorry, I didn't notice that

Answer 9

so 7z=24

Answer 10

yes?

Answer 11

now fully isolate z

Answer 12

so 24/7

Answer 13

yep 24/7

Answer 14

is that the answer?

Answer 15

Can I ask another please?

Answer 16

sure, go ahead

Answer 17

Thanks :)

Answer 18

what are some key features that you can think of? any at all?

Answer 19

Maybe some degrees?

Answer 20

you mean the degree of the polynomial?

Answer 21

yes

Answer 22

what does the degree tell us?

Answer 23

how many answers it would have

Answer 24

I mean roots

Answer 25

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.

Answer 26

I understand. :)

Answer 27

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