Answer:
(- 2, - 9 )
Step-by-step explanation:
The axis of symmetry passes through the vertex of the parabola.
Thus the x- coordinate of the vertex is x = - 2
To find y substitute x = - 2 into f(x)
f(- 2) = (- 2)² + 4(- 2) - 5 = 4 - 8 - 5 = - 9
Vertex = (- 2, - 9 )
Maybe 7.4 pounds idk sorry if I’m wrong
The student forgot to distribute the P into rt as well in the second line.
So, to solve for r correctly:
A=P(1+rt)
A=P+Prt
A-P=Prt
r=(A-P)/Pt
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:
![f(-x)=f(x)](https://tex.z-dn.net/?f=f%28-x%29%3Df%28x%29)
And an odd function has the following property:
![f(-x)=-f(x)](https://tex.z-dn.net/?f=f%28-x%29%3D-f%28x%29)
So, let's test some values for cos(x).
Let's use π/3:
![f(\pi/3)=\cos(\pi/3)](https://tex.z-dn.net/?f=f%28%5Cpi%2F3%29%3D%5Ccos%28%5Cpi%2F3%29)
From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:
![f(-\pi/3)=\cos(-\pi/3)](https://tex.z-dn.net/?f=f%28-%5Cpi%2F3%29%3D%5Ccos%28-%5Cpi%2F3%29)
And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!