Answer: The Perimeter of the rectangle, P= 16v −24w
Step-by-step explanation:
Perimeter of a rectangle = 2( L +W) = 2L + 2W
The width of a rectangle is given as (3v-3w) centimeters,
its length is given as (5v-9w) centimetres
The Perimeter,P will now be = 2L + 2W
P=2( 3v-3w) + 2( 5v-9w)
P=6v −6w + 10v - 18 w
adding like terms
P=6v + 10v −6w −18 w
P= 16v −24w
The required value for the sum is 9580.
<h3>What is simplification?</h3>
Simplification in mathematics to solve the given condition on its operators.
= 
= 9580
The required solution is given as 9580.
Learn more about simplification here:
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Answer:
1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.
So, if we say that y is her weekly income and x is her weekly sales, we can write this as:
y = 760 + 0.075x
Note that we had to change percentage to decimal number dividing it by 100.
2 Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.
Since this is a function, it can also be written as:
f(x) = 760 + 0.075x
3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).
All this means that appropriate domain for this function are positive real numbers including 0.
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