Sammy drew a rectangle that was w inches wide. The expression 2(2w) + 2(w) represents the perimeter of the rectangle that Sammy
2 answers:
You might be interested in
Answer:
Or
Step-by-step explanation:
For a polynomial function of lowest degree with rational real coefficients, each root has multiplicity of 1.
The polynomial has roots and 2 with a leading coefficient of 3.
By the irrational root theorem of polynomials, is also a root of the required polynomial.
By the factor theorem, we can write the polynomial in factored form as:
We expand, applying difference of two squares to obtain
We expand further using the distributive property to get:
Answer:
There will be total 2048 parts of the given paper if James if able to fold the paper eleven times.
The needed function is
Step-by-step explanation:
Let us assume the piece of paper James decides to fold is a SQUARE.
Now, let us assume:
n : the number of times the paper is folded.
y : The number of parts obtained after folds.
Now, if the paper if folded ONCE ⇒ n = 1
Also, when the pap er is folded once, the parts obtained are TWO equal parts.
⇒ for n = 1 , y = 2 ..... (1)
Similarly, if the paper if folded TWICE ⇒ n = 2
Also, when the paper is folded twice, the parts obtained are FOUR equal parts.
⇒ for n = 2 , y = 4 ..... (2)
⇒
Continuing the same way, if the paper is folded SEVEN times ⇒ n = 7
So,
⇒ There are total 128 equal parts.
Lastly, if the paper is folded ELEVEN times ⇒ n = 11
So,
⇒ There are total 2048 equal parts.
Hence, there will be total 2048 parts of the given paper if James if able to fold the paper eleven times.
And the needed function is