Simplify quantity 1 over 36 minus 1 over x squared all over 1 over 6 plus 1 over x.

1 answer:

7 0

[ (1 / 36) - (1 / x²) ] / [ (1 / 6) + (1 / x) ]

[ (x² - 36) / 36x² ] / [ (x + 6) / 6x ]

remember that:
x² - 36 = (x + 6)(x - 6)

so

[ (x+6)(x-6) / 36x² ] / [ (x + 6) / 6x ]

[ (x+6)(x-6) / 36x² ] * [ 6x / (x + 6) ]

6x / 36x² = 1 / 6x

[ (x+6)(x-6) / 6x ] * [ 1 / (x+6) ] -------------------- > (x - 6) / 6x

The answer is (x - 6) / 6x

You might be interested in

A jar contains 900 beans. Of them, 700 are white beans and the rest are navy beans. What ratio of white beans to all the beans

Nikolay [14]

Answer:

700/900

Step-by-step explanation:

There are 900 beans in total.

There are 700 white beans

The ratio of white beans to all the beans is 700/900 or 700:900

5 0

3 years ago

There are 16 marbles in a bag 12 of them are blue and 4 are yellow. what is the probability of picking a blue marble then a yell

Art [367]

Answer:

1/5

Step-by-step explanation:

the prob that you will pick a blue marble would be 12/16, easy.

then the prob of picking a yellow marble after that would be 4/15 since one marble is already missing. multiply the numerator and denominator of each fraction. so 12 x 4 and 16 x 15 to get 48/240. then divide each by 48 to get 1/5.

3 0

2 years ago

Solve the system of equations by elimination. Show your work. i’ll give brainliest

My name is Ann [436]

Answer:

x = 5

y = 4

Step-by-step explanation:

multiply the second equation by -1 and add the first equation to eliminate "x"

$4x+6y=44\\-4x-2y=-28$
_____________