Answer:
third answer
Step-by-step explanation:
The end behavior of the function indicates that the leading coefficient of x is negative (as x approaches infinity, f(x) approaches negative infinity for cubic functions with negative leading coefficients). This eliminates the first 2 answers. Next, factor out the common factor from the 3rd answer and set it to 0 to see if the roots of the polynomial shown on the graph (x=-3, x=2) match that of the answer.
- factor out -2x since each term in the 3rd answer is divisible by -2x => -2x(x^2+x-6)
- set the factored polynomial equal to 0 => -2x(x^2+x-6)
- divide both sides by -2x => 0 = x^2+x-6
- factor => (x+3)(x-2) = 0
- find zeros by setting both factors equal to 0 => x=-3, x=2
This means that the 3rd answer is correct. The last answer, while having the correct leading coefficient, will produce roots of 3 and -2 instead of -3 and 2, which is shown on the graph.
Answer:
The Volume of large cone is 19.545 
greater than the smaller cone
Step-by-step explanation:
Given:
Size of the small cone = 3.5 inches
Diameter of the small cone = 3 inches
Size of the large cone = 3.5 inches
Diameter of the small cone = 3 inches
To Find:
How much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone = ?
Solution:
Volume of the small cone :
Radius = 
Radius = 
Radius = 1.5 inches
volume of the cone =
substituting the values,
=>
=>
=> 16.485
Volume of the large cone :
Volume of the large cone :
Radius =
Radius = 
Radius = 2.25 inches
volume of the cone =
substituting the values,
=>
=>
=>36.06
Now ,
volume of small cone - volume of large cone
=>36.06 - 16.485
=>19.545
5 1/7 x 1/9= 36/7 ×1/9= 4/7
8-3/2= 8-1 1/2= 7 1/2
Answer:
16 and 125
Step-by-step explanation:
-2*-2 = 4
4*-2 = -8
-8*-2 = 16
5*5 = 25
25*5 = 125
0.0307 or what are you giving us here?
