Melania has two jobs. during the day she works as an office clerk, and in the evening she works as a cashier. her office job pays her $13 per hour. her cashier job pays her $9.25 per hour. in one week, melania worked 38 hours, she earned a total of $434. how many hours did melania work in each job?

Melania works as Cashier  for 16 hours and as Office clerk  for 22 hours  per week.

Step-by-step explanation:

Let  Melania works as Office clerk  for x hours per week.

and Melania works as Cashier  for  y hours per week.

Also, given Her office job pays her $13 per hour then, she get  $13x per week

and Her cashier job pays her $9.25 per hour then, she get  $9.25y per week

then, According to the given question,

 ..............(1)

and  ................(2)

Solving equation (1) and (2) ,

Multiply equation (1)by 13 , We get

(1) ⇒  ..............(3)

Subtract (2)  from (3) , We get ,

Thus, Melania works as Cashier  for 16 hours per week.

Put y = 16 in (1), We get,

Thus, Melania works as Office clerk  for 22 hours per week.

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step-by-step explanation:

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(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3