Answer:
C. (f – g)(x) = –2x – 2
Step-by-step explanation:
(f – g)(x) = f(x) – g(x)
= (–5x – 4) – (–3x – 2)
= –2x – 2
Answer:
Correct answer is:
<em>a. (-9,17)</em>
Step-by-step explanation:
We are given that a point (6, 6) lies on the graph of 
.
Putting the values from the given point:
That means we are given that 
..... (1)
And we have to find the corresponding coordinates of this point on the graph of ![y = 4f[\frac{1}3x +9] -7](https://tex.z-dn.net/?f=y%20%3D%204f%5B%5Cfrac%7B1%7D3x%20%2B9%5D%20-7)
From equation (1), we know the value of 
.
so, let us convert ![f[\frac{1}3x +9]](https://tex.z-dn.net/?f=f%5B%5Cfrac%7B1%7D3x%20%2B9%5D)
to a form such that it becomes equal to
So, let us put 
in the given function:
![4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7](https://tex.z-dn.net/?f=4f%5B%5Cfrac%7B1%7D3%5Ctimes%20%28-9%29%20%2B9%5D%20-7%5C%5C%5CRightarrow%204f%5B-3%20%2B9%5D%20-7%5C%5C%5CRightarrow%204f%286%29%20-7)
Now, using equation <em>(1)</em>, putting 
Therefore, the point the corresponding point is:
<em>a. (-9,17)</em>
Answer:
In order to answer this you would need to use this equation: <em>A = πr² </em> (See explanation)
Step-by-step explanation:
So, The circumference of the circle is 65n?
What you need to do is <em>A = πr² </em>
Let's divide 65n by Pi (65/3.14)
That equals 20.70n
Now we have the diameter of the circle. We need the radius for <em>A = πr² .</em>
We need to divide the diameter by two (20.70/2)
We now have the radius of the circle: 10.35n
Now we need to plug 10.35n in our Area equation :<em>A = π10.35² </em>
So now we multiply the Radius by Pi (π * 10.35)
This means that the area of our circle is: A = 32.49
Your answer Is 32.49n
