The function is: f ( x ) = x³ - 2 x² - 68 x - 120
If f ( - 2 ) = 0, we have to divide this equation by: ( x + 2 )
( x³ - 2 x² - 68 x - 120 ) : ( x + 2 ) = x² - 4 x - 60
- x³ - 2 x²
--------------
- 4 x² - 68 x - 120
4 x² + 8 x
---------------------------
- 60 x - 120
60 x + 120
-----------------
0
After that for a function: f ( x ) = x² - 4 x - 60; f ( - 6 ) = 0
( x² - 4 x - 60 ) : ( x + 6 ) = x - 10
-x² - 6 x
-----------------
- 10 x - 60
10 x + 60
-------------
0
Answer:
C ) ( x - 10 ) ( x + 2 ) ( x + 6 )
Domain is the set of values of x.
Notice that in the graph x start from origin x=0 and goes till x=4 which shows x is from 0 to 4.
Hence the domain of the function is 0<x≤4.
Similarly y starts from origin and stop at y=40.
So, range is 0<y≤40.
Answer:
Stop cheating and do your own work....
Mr E
Step-by-step explanation:
Hi, thank you for posting your question here at Brainly. I hope I would be able to help you with my simple explanation:)
To calculate for the volume of a cone, the formula would be
V = 1/3*pi*r²*h
where r = 12 cm, h = 8 cm
So,
V = 1/3*pi*12²*8
V = 384*pi
In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.
<h3>What is a golden rectangle?</h3>
In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.
In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,
Length of the rectangle = 1.618 × 15 feet = 24.27 feet
Now, the perimeter of the rectangle can be written as,
Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.
Learn more about Golden Rectangle:
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