Acommercial fishermen a, working alone, takes 4 hours longer to run the hoop nets than it takes fisherman b working alone. together they can run the hoop nets in 5 5/6 hours. how long does it take each working alone?

A takes 14 hours and B takes 10 hours in working alone.

Step-by-step explanation:

Let the time taken by B alone = x hours,

One hour work of B =

∵ fishermen A, working alone, takes 4 hours longer to run the hoop nets than it takes fisherman B working alone.

So, the time taken by A alone = (x+4) hours,

One hour work of A =

Thus, total one hour when A and B work simultaneously =

Since, together they take hours

Total one hour work =

 ( Middle term splitting )

By zero product property,

3x + 7 = 0 or x - 10 =0

⇒ x = -7/3 ( not possible ) or x = 10

Hence, time taken by B = 10 hours,

Time taken by A = 10 + 4 = 14 hours

pla·gia·rism

/ˈplājəˌrizəm/

learn to pronounce

noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: