Given :
A function f(x) for different range of x.
To Find :
The value of f( -3 ) .
Solution :
We have to find the value of function at x = -3.
Now, in the given figure -3 lies in range x ≤ -2 and definition of function at that range is :

So, putting value of x = -3 in above equation, we get :

Hence, this is the required solution.
Hi there!
<u>FACTS</u> :
The formula for the volume of a cylinder is : V =
× r² × h
<u>STEPS TO ANSWER:</u>
You have the diameter of the cylinder, which is 13cm.
In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:
13 ÷ 2 = 6.5
Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :
V =
× r² × h
V =
× <u>6.5²</u> × 24
V =
× <u>42.25 × 24</u>
V =
× 1,014
V = 3,185.574950......
Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.
There you go! I really hope this helped, if there's anything just let me know! :)
The given trinomial can be factored using factorization as
x²-x-12
=x²-4x+3x-12
=x(x-4)+3(x-4)
=(x-4)(x+3)
Thus x-4 and x+3 are the factors of the given trinomial. From these we can see x+3 is listed in option A
So the answer to this question is Option A
Answer:
y – 2 = 4x
3y = –9x – 6
Step-by-step explanation: