Answer:
c) 2 pi x
Step-by-step explanation:
The circumference is based on the equations:
C = pi * d where d = diameter
We also know that the radius is half of the diameter as its the length of a line from the centre of the circle while the diameter is the length of two opposite points through the centre of the circle.
This tells us that d = 2r
So we can replace the equation for the circumference with:
C = pi * 2r
An increase of x to the radius would thus mean that the circumference is increased by 2(pi * x), as 2(pi * (r + x) could be used to find the new value of the circumference, which is the same as:
2(pi * r) + 2(pi * x)
So the answer is 2 pi x
The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
<h3>How to determine the function (fg)(x)?</h3>
The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
Read more about composite function at:
brainly.com/question/10687170
It is associative property
Answer:
-1
Step-by-step explanation:
-2(x-7)=16
-2x +14=16 You distribute
-14 -14
-2x = 2
-2 -2 you divide
and get -1 as your answer.
Hope my answer has helped you!
