Answer:
Answer below
Step-by-step explanation:
It would be 36×2=72
since we're doubl8ng it so there would be 72 hooded sweatshirts
The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.
Here, we are given that the side of the length of the rug = x
Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.
This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)
Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)
Kindly refer to the diagram below for a better clarity of how we found out the sides.
Now, the area of a rectangle = Length × Breadth
Thus, area of the room = (x + 12) (x + 4)
= x^2 + 4x + 12x + 48
= x^2 + 16x + 48
Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48
Learn more about quadratic equations here-
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Answer:
It depends, see answer below
Step-by-step explanation:
By arithmetic, we refer to the elementary operations between numbers. You can build the integer, rational, real and complex number systems from the natural numbers, so it is enough to obtain arithmetic for natural numbers.
In the axiomatic formulation of natural numbers, you assume that there exists a non empty set N such that multiplication and addition are defined in N with the commutative, associative, distributive and modulus properties. If you take this approach, you need all of the above: Numbers exist, Multiplication, Addition.
A different approach is the following: assume the Peano axioms: The set of natural numbers exists, and it obeys an inductive structure (without going in further details, every natural number has a unique sucessor, and mathematical induction is valid). You can define addition and multiplication inductively, so in this case you only need to assume that numbers exist.
