Given: given: 2 < a < 5, 3 < b < 7 find: a/2b-2b/a

-48/7 < a/2b-2b/a < -11/30

Step-by-step explanation:

a/2b - 2b/a

Get a common denominator of 2ab

a/2b * a/a   - 2b/a *2b/2b

a^2/2ab - 4b^2/2ab

(a^2-4b^2)/2ab

We want to find out the minimum and maximum for the expression

Minimum:

a needs to be the smallest and b needs to be the largest

2^2 -4* 7^2    4-196        -192    -48

= = =

2*2*7            28              28        7

The maximum is when a is the largest and b is the smallest

5^2 - 4*3^2     25-36          -11          

= = =

2*5*3              30             30          

The expression is between

-48/7 < a/2b-2b/a < -11/30

the mean and mad

step-by-step explanation:

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: