Question

If f(x) = 5x and https://media.education2020.com/evresources/2003-08-03-00-00_files/i0180000.jpg
find
https://media.education2020.com/evresources/2003-08-03-00-00_files/i0180001.jpg
P.S. sorry I couldn't copy the problem directly in the text box. It wouldn't accept the format. Thank you.
SydtheKid913

Answer 1

\[\Large f(x) = 5x\]

\[\Large g(x) = \frac{5x}{3}\]

Answer 2

\[\Large f(x) \div g(x) = (5x) \div \frac{5x}{3}\]

\[\Large f(x) \div g(x) = \frac{5x}{1} \div \frac{5x}{3}\]

How do we divide fractions?

Answer 3

well it would be 1/3 right?

Answer 4

not quite

Answer 5

ummmmmmmmmmm

Answer 6

how do I divide variables?

Answer 7

remember when you divide fractions, you flip the second fraction and multiply

Answer 8

So,

\[\Large f(x) \div g(x) = \frac{5x}{1} \div \frac{5x}{3}\]
\[\Large f(x) \div g(x) = \frac{5x}{1} \times \frac{3}{5x}\]

Answer 9

Then you multiply straight across and reduce

Answer 10

O so I is 15x/5x? Which is equal to 3?

Answer 11

yep

\[\Large f(x) \div g(x) = \frac{5x}{1} \div \frac{5x}{3}\]
\[\Large f(x) \div g(x) = \frac{5x}{1} \times \frac{3}{5x}\]
\[\Large f(x) \div g(x) = \frac{\cancel{5x}}{1} \times \frac{3}{\cancel{5x}}\]
\[\Large f(x) \div g(x) = \frac{1}{1} \times \frac{3}{1}\]
\[\Large f(x) \div g(x) = \frac{1 \times 3}{1 \times 1}\]
\[\Large f(x) \div g(x) = \frac{3}{1}\]
\[\Large f(x) \div g(x) = 3\]

Answer 12

can I fan you?

Answer 13

sure if you want

Answer 14

cool!!! thank you sooooooooooo much!!!