(f-g)(x) = x²+6x - (7-x)
(f-g)(x) = x² + 6x - 7 + x
(f-g)(x) = x² + 7x - 7
(f-g)(9) = 9² + 7*9 - 7
(f-g)(9) = 81 + 63 - 7
(f-g)(9) = 137
(a) False. The number 7 is NOT an element of set B as 7 is not in the set B (2, 3, 4 and 0 are though)
(b) False. 3 is a member of set A. It is the third element listed in the set. So saying "3 is not a member of set A" is a false claim
(c) True. The value 0 is found in set B. It is the last element listed.
Final Answer: Choice C)
The answers to the question are are the equations
y = 0.08x²-1.6x+13
y = 0.08(x-10)²+5
<h3>How to solve for the system of equations</h3>
David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).
Vertex form of quadratic function is
y = 
13 = a(x-10)²+5
let x = 20
a(20-10)²+5
13 = 100a + 5
take like terms
13 - 5 = 100a
8 = 100a
divide through by 100
a = 0.08
hence the equation would be
y = 0.08(x-10)²+5
Read more on equations here:
brainly.com/question/9621134
#SPJ1
We are given
edge of cube =x
we know that formula for volume of cube

we are given

we can plug value

now, we can solve for x
![\sqrt[3]{x^3} =\sqrt[3]{\frac{1}{8} cm^3 }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B8%7D%20cm%5E3%20%7D)
............Answer