Integers are irrational numbers. A natural number is a rational number. An irrational number is a real number. Zero is a natural number.
I hope this helps!
To completely factor you must from the Greatest common factor
In this case it is 4z
So the complete factorization is
4z(4x + 5y)
Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
If the equilibrium is such that only 12000 units are sold for $27, then the total earnings from the given scenario is $324,000. The supply equation would then be,
supply: 324000 = 6p ; p = 324000/6 = 54000
demand: 324000 = 69p ; p = 324000/69 = 4695.65 ≈ 4696
Answer:
a = 13
Step-by-step explanation:
Hello!! This is how you do it!!
a - 7 = 3 (2)
a - 7 = 6
+ 7. +7
a = 13
