Answer:
23
Step-by-step explanation:
3z + 2(z-1)
Let z=5
3*5 +2( 5-1)
15 +2(4)
15+8
23
Independence Day, commonly known as the Fourth of July, is a federal holiday in the United States commemorating the adoption of the Declaration of Independence on July 4, 1776, declaring independence from the Kingdom of Great Britain.
Answer:
B
Step-by-step explanation:
The vertex is the turning point of the parabola.
First find the zeros by equating y to zero, that is
(x - 6)(x + 12) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 12 = 0 ⇒ x = - 12
The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros, thus
=
=
= - 3
Thus the x- coordinate of the vertex is x = - 3 → B
Answer: The first option.
Step-by-step explanation:
1. You need to remember that:
- An even function is a function with the following property:
f(-x)=f(x)
- An odd function is a function with the following property:
f(-x)=-f(x)
2. By definition, the contangent is an odd function, therefore you have that:
cot(-θ)=-cot(θ)
Then:
![2cot(-\frac{9\pi}{2})\neq2cot(\frac{9\pi}{2})](https://tex.z-dn.net/?f=2cot%28-%5Cfrac%7B9%5Cpi%7D%7B2%7D%29%5Cneq2cot%28%5Cfrac%7B9%5Cpi%7D%7B2%7D%29)
3. So, you can coclude that the first step is wrong. Therefore, the answer is the first option.