Answer:
see explanation
Step-by-step explanation:
(a)
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = 6x - 2 + 2x + 4 = 8x + 2
(b)
(f - g)(x) = f(x) - g(x)
f(x) - g(x) = 6x - 2 - (2x + 4) = 6x - 2 - 2x - 4 = 4x - 6
No, because if you plug in 10 for y and 5 for x then solve the inequality says 10>10
Answer:

Step-by-step explanation:
- A circle's equation consist on the following expression:
, where r is the magnitude of the radio, and (a,b) are the coordenates of the center of the circle. - In this case, a=2 and b= - 3, because the circle is centered in (x,y)=(2, - 3).
- The radio, which is the distance between the center of the radio to any point in its border, equals r=2 (because of the scale of the graphic, in this case two squares of the grid equal 2 units, then r=2).
- Finally, using the previous information to replace in the equation
, where the fact that r=2 and
was used.
Answer: Graph shifts 4 units to the left
Explanation:
I'm assuming you meant to say y = |x+4|
If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.
Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|
If they are all a foot long then she should have 32 pieces of Chain