Answer:
Cubic trinomial
Step-by-step explanation:
The degree of a term is the sum of the exponents of its variables
- Quadratic: a polynomial of degree two
- Cubic: a polynomial of degree three
Therefore, -5x³ - 4x + 1 is a cubic (since the sum of the exponents is 3)
- monomial: a polynomial with exactly one term
- binomial: a polynomial with exactly two terms
- trinomial: a polynomial with exactly three terms
Therefore, -5x³ - 4x + 1 is a trinomial (as it has exactly 3 terms)
Answer:
√3/3
Step-by-step explanation:
To obtain Tan θ ;
From trigonometry, tan θ = sin θ / cosθ
Given the paired value : (√3/2, 1/2)
The (cosine, sine ) pair ;
Tan θ = sin (1/2) / cos (√3/2)
Tan θ = (1/2 ÷ √3 / 2) = 1 / 2 * 2 / √3 = 2 / 2√3 = 1 / √3
Tan θ = 1 / √3
Rationlaizing the denominator :
1/√3 * √3/ √3 = √3/√9 = √3/3
36 * 1 = 36
2 * 18 = 36
3 * 12 = 36
4 * 9 = 36
6 * 6 = 36
A number xx is said to be
an accumulation point of a non-empty set <span>A⊆R</span><span>A<span>⊆R if every
neighborhood of xx contains at
least one member of AA which is
different from xx.</span></span>
A neighborhood of xx is any open
interval which contains xx.
<span><span>In this question, we have <span><span>A=Q</span><span>A=Q</span></span></span> and
we need to show if <span>xx</span> is
any real number then <span>xx</span> is
an accumulation point of <span>QQ</span>.
This is almost obvious because if <span>xx</span> is
any specific real number then any neighborhood <span>BB</span> of <span>xx</span> contains
infinitely many rational numbers (and hence at least one of them is different
from <span>xx</span> itself).</span>
The fundamental property which we are using here is the following:
If <span>a<b</span><span>a<b</span> are two real
numbers then there is a rational xx with <span>a<x<b</span><span>a<x<b</span> and an
irrational number yy with <span><span>a<y<</span>b</span><span>a<y<b</span>.
<span>
</span>
<span><span>This above fact implies that there are infinitely many rational
and irrational numbers between <span>aa</span>
</span>and <span>bb</span>.
In other words any interval <span><span>(a,b)</span><span>(a,b)</span></span> contains
infinitely many rational and irrational numbers. The neighborhood <span>BB</span> in
my answer above is an interval of this type and hence contains many rational
numbers.</span>